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110
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Chemical Calculusאא Wאא אא א אאאאאאא
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kg
meter
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Watt
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J
אQUANTITY
EאFא
Energy
Pressure Force
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m3
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Potential
אא
Volume
א
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אא
110
א
אא
אא
א
אאאאא
אאא Kאאא אאK1
Kilo(k) = 103 Miga(M) =106 Giga(G) =109 Tetra(T) =1012 K 1 Mm1000,000mא :
K36 Gs36,000,000,000sא אאא K2
-3
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אאאא
Decimeter (dm) = 0.1m Centimeter(cm) = 0.01m
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א א אא Ks א g א cm א א אאאE1-3FאKאergdyne،א
Kאא
UNIT Atmosphere Millimeter Hg bar Liter
KאאאWE1-3F אQUANTITY
א atm mm Hg =torr bar
Pressure
א א
L
Volume -3-
א
אא
110
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אא
אא
א
Celecius Minute
o
C
Temperature
min
Time
אא א
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h d
year J
y g/cm3
dyne
dyne
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Force
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erg
א
Energy
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erg
Lא Density
3
א
Wאאאאאא
1K = 1oC + 273.15אא
1L = 0.001 m3
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1Newton = 105 dyne
Wאאא W א.1
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110
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Wאא،אאאאW {11.1% H , 88.9% O
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אא K 1 2 א
KESubscriptFאאא،H2O
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H2/3O1/3 HO1/2אKא H8O4 H4O2 H2Oא אא אKא ،
א אא ،mass spectrograph א ، א א
א א א א א Kcolligative properties
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4H + 2 OZאאא 4 + 2 ×16 = 32 -6-
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110
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H4/2O2/2 = H2O:אא
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א א א אא KCH3CH2OH E אF א א CH3OCH3
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polar compoundsא א KE
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electrolytes אא
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א א א F א א KEא
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110
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א א א א א א א ،،אא،،Fאאאאא JW א
א א KE א א H2(g) + O2(g)→
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110
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W25אאW
H2(g) + ½ O2(g) → H2O(g) -57.8 kcal mol-1
א א א א אא -57.8 kcal mol-1 אא אאאKEאא א1F 25oC H2(g) + ½ O2(g) + -57.8 kcal mol-1 → H2O(g)
Wאא
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-
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Wאא
I2 +2e → 2I- 11 -
אא
110
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אא
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2S2O32- → S4O62- +2e
Na + HCl → NaCl + ½ H2
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H + e → ½ H2 Na → Na+ + e
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H2 + Cl2 + h → 2HCl
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Na + Cl → NaCl
- 12 -
אא
110
א
אא
אא
א
WאאאW3
C + 2H2 → CH4
א ،אאא Kאאאאאאאא
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C7H5O2Na + HCl → C7H6O2 + NaCl
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(C7H5O2)-Na+ + H+ + Cl- → C7H6O + Na+ + Cl-
אאKאאא -
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אאאאאאא Kא
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א אא ، Complex forming אאא א ،NH3 א ،F- א ،CN-،א Kא א - 13 -
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110
א
אא
אא
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א אא א א אא ،CO ،H2O
KLigandsא
Cu(NH3)4SO4אאW1 CuSO4 + 4NH3 → Cu (NH3)4SO4 (Fe(CN)6)3-אא W2 Fe3+
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WSolution reaction א .2
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KאKconcentration אאKאאאאW - 14 -
אא
110
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אאאאאאאא
אאE1-4FאKEאFא Wאא
KאאאאBאאAא WB % =
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100×WB/(WA+WB)
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m = 1000 ×WB/ WAMw,B
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Unit
Symbol
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Weight percent
W/V%
Weight volume percent
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g/100cm Mol/L
M
Concentration
Molarity
- 15 -
א אא אא
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Mol/kg
m
molality
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Normality
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N = 10 × percent × density / Ew,B M = 10 × percent × density / Mw,B
א א א ELFאא אאא W
K1.721g cm3 אא.80%EאFאא
K80%ZאאWא
100 cm3
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137.7%Z0.8×172.1/100 ZELFאא
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M = (1000×0.8×172.1)/98×100 =14.05mol L H2SO4=2 + 32 +4×16 =98Wאאא -1
N = 1000×0.8×172.21)/49×100 = 7.02 g equivalent L-1
א
Kאאא
m = E1000×0.8×172.1)/ (172.1×0.2×98)=40mol kg-1
- 16 -
א
אא
110
א
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אא
א
אא
Wאא .1
36000 m J0.000072 s J0.32000 g Jא 70300 m J0.000000003 kg J6000000 bytes J
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120g א 30.7gאא א.13 Kא
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אא
110
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אא
אא
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אאא
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א אאאא J4
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CH2אא J5
،אאאא28אא
אאאKאאC2H4 =2(CH2) KאCH2=CH2Wאא
25אאאאאאא J6 - 18 -
אא
110
א
אא
אא
א
T K = 25+ 273 = 298 K C(s) + 2H2(g) → CH4(g) 2 NH3(g)
א J7 Wאאא J8
→ N2(g) + 3H2(g)
אא J9
CH3COOH + KOH → CH3COOK + H2O M = 1000 × WB /V × Mw,B
אא J10
Wא،אאאאMw,BWB M = 1000 × 10.5 / 80 × 58.5 = 2.24 mol /l
אאאאא J11
W
N = 10 × P × d / Ew KאאEwאdאאאP N = 10 × 20 × 1.213 /49 = 5.02 equivalent /L
א J12
XB = (WB /WW,B) / {( WB / WW,B ) + (WA / WW,A)} א א K א אא B EאF א A
א א K18 WW,A א א ،40 WW,B Kא80אאא20א100 XB = (20 /40) /{( 20 /40 ) + (80 /18 )} = 0.10 mאא J13
m = 1000 WB / WA MW,B אKאאאאBאA
m = 1000 × 30.7 / 120 × 85 = 4.41 mol kg-1 K85NaNO3אאאא
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אא
אא
אא
2
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110
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אא
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KאאאאאאWאא Wאא Kאאאאאאא J Kאאאאא J
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אא
110
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אא Wאא WאAntoine Lavoisierא J
א א א ،א א ،1774 א
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אא
110
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א ، א א
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WEinstein
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WRutherford J
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אא
110
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FאאK אאא KE9.1 × 10-28 g1.6 × 10-19C א Wאא J
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110
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n1 → n2,..., ∞
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n3 → n4,..., ∞
אא Paschen - 25 -
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110
א
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אא
א
n4 → n5,..., ∞ n5 → n6,..., ∞
אאא Bracketא אאא
Pfund
WאאRhydberg א W R H ( 1 1 ) , RH = 109,677.6 cm-1 (2-2) 2 2 2 n אאאאאא KW 1 אא
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אא
110
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(2-4)
אא
110
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Wאn2 = ∞אKאאn2אאn1
E = 2.18 10-18 (1/n12) (2-5) Kn1אאאאE
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אא
110
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Kא
Wquantum mechanicsא ،אא א א א אא אא א א
א א ، Schrodinger א ،אאאK אFאאאא KEאאאאאאא - 29 -
אא
110
א
אא
אא
א
n = 1, 2, 3,...∞Wprinciple quantum number (n) אא
Kאאאאאאא WAzimuthal quantum number (ℓ)אא
Wאאאא،ℓא ℓ =0
→
ℓ =1
→
s אאא
p אאא
ℓ =2
→
ℓ =3
→
dאא fאא
אאאℓ = n - 1אאאא
Kאא
ℓ = n-1 = 0n = 1א
Ksאאאאℓ = 0אא n = 3א ℓ = n-1 = 3-1 = 2 Ks, p, dאאKℓ = 0, 1, 2
Wmagnetic quantum number (mℓ) אא
א،אאאאא
K-ℓ,..., 0,..., +ℓmℓ = 2ℓ + 1mℓ אא mℓ = 2 × 2 + 1 = 5
ℓ = 2
K2, 1, 0, -1, -2Wאאא5א Wspin quantum number (ms)אא
א،ms،אאאא
Kn, ℓ, mℓ , msאאאאH½ J½
אE2-3Fא K 2א
Wn = 4א
- 30 -
אא
110
א
אא
אא
א
KאאאאאWE2-3F ms ±½ ±½ ±½
±½
mℓ 0 0 -1, 0, 1 0 -1, 0, 1 -2,-1,0,+1,+2 0 -1, 0, 1 -2,-1,0,+1,+2 -3,-2,-1,0,+1,+2,+3
אאא 1s 2s 2p 3s 3p 3d 4s 4p 4d 4f
ℓ 0 0 1 0 1 2 0 1 2 3
n 1 2 3
4
Wאאא
Wאאnא --------3s ----------3p---------3d --------2s ----------2p
--------1s WEאFאאאא --------4s
---------3d ----------3p -------------3s
----------2p --------2s --------1s 1s<2s<2p<3s<3p<4s<3d<4p<5s<4dWאא
Wאאא
Kאאאאsאא J
K, y, zCאאאpאא J
Kאdאא J
KdpsאאאאאE2-6Fא
- 31 -
אא
110
א
אא
אא
א
1s
2s
3s
px py pz
d
xz dxy dxz dyz dz KאאאאאאWE2-6F 2
Wאאאא Wאאאאא
Kא،n=2n=1א .1
،Ems, mℓ, ℓ, nFאאאא .2 KPauli exclusion principleאא
א אאאאאאאא א .3 KHund’s rule،א
א f d p s אאא א .4 .EnFא
Wאאאאא
א א א א א
:אEFאEf, d, p, sFאא - 32 -
אא
110
א
אא
אא
א
H:
1s1
،?s?אא،EnFא א ?1?אא
، Kאא א א א אא א K א אא א
،paramagnetism and diamagnetism א א W אאאאאאא אא K א א אא ، parallel spinא
א א א א
Kopposite spinא{אאא א א א א אא א א א
،א אא ،א אאא
אאKאאא
א אאאאKאאאאאא א EאאאאFferromagnetismא
א א א א Kא אא א א
KE אF א א א א
א אאא א א אא א א א א KאאאאאאאK WאאאאW1
KאאאאWא
Heאא
He: 1s2 KאאאאאWא
אKאאאאאWא
א 1, 0, 0, +½ WאK1, 0, 0, -½ : אא - 33 -
אא
110
א
אא
אא
א
אא א א א Kא KאאKא
Liאאא
Li : 1s2 2s1
אאא?s?אא،n=1אאא
אKא?s?אאn=2אא
Kאאא Kאאאאא
Beאאאא
Be : 1s2 2s2
Bאאא B : 1s2 2s2 2p1 E2pFאאא ،E2sFאאאאאא
אאא א ، אא
pאאאא K 6 p א Kאא
Cאאא
C : 1s2 2s2 2p2
אאא אאאא Kאאאאאאאאאאpאא
Nאאא
N : 1s2 2s2 2p3
אאאאא אא
K
Oאאא
- 34 -
אא
110
א
אא
אא
א
O : 1s2 2s2 2p4
אאאאאא אא אאא א Kp
F אאא F : 1s2 2s2 2p5 Ne אאא Ne : 1s2 2s2 2p6
אאKאאא،n=2،אאא KאאאKאא Wאאאא
א א אא אא
א א א א א אא K א
Kאאאא،
؟אא؟אאWא
א ،א א אא א א א W א
א KאEאאFא nאאאא Kאא
Kאאאאאאא ؟אאאאWא
אאאאאאאWא א،א ،אאא،א
אאאאאא אאא Kאא
א א א א א K א א א
Kאא א،אאא א Kא ،א אאא،א K
- 35 -
אא
110
א
אא
אא
א
א ، H+ א א א W1
אKאא،אאא EאF א א ،H-
א Kא א
אאKאאKא א א א א
Kא
אאאאאאאאW2
، B3+, Be2+, Li+, He، אא Wא
Kאאאא
א א א א W 3
א ، א א א א
אא א א
Kאאאאאא،א
אא،אאW4
א א ،א 3 א א
NH3 אN2א،אא א א K–NH2 א
KאאאאאאKא
א אאא W5
O2- אאא ،א
KF-אא
Wאא
Na אאא Na:
1s2 2s2 2p6 3s1
- 36 -
אא
110
א
אא
אא
א
אNa+א،אWאאא
אא KאאKאא א א
אאאאאאאא
Li+, Na+, Wא א ،א ،
אא אK K+, Cs+, Rb+ א א E א F WאאאK
Na:
[Ne] 3s1
Mg אאא Mg : [Ne] 3s2
א א א ،Mg2+ א א
א אאאאאאא KאאאאKBe+, Mg+, Ca+, Sr+, Ba+Wא
Alאאא
Al: [Ne] 3s2 3p1
Al3+ אא
Siאאאא Si : [Ne] 3s2 3p2
Pאאא P : [Ne] 3s2 3p3
S אאא S : [Ne] 3s2 3p3
Cl אאא - 37 -
אא
110
א
אא
אא
א
Cl : [Ne] 3s2 3p5
Ar אאא Ar : [Ne] 3s2 3p6
א א א Kא א א
d אא א א א א ،d, p, s W אאא K
Kאאא K : [Ar] 3s2 3p6 4s1
א ،א א א א א אא
א אא 3d 4sאאאא א Kאא
Caאאא Ca : [Ar] 3s2 3p6 4s2
אאאאאאא
Kא3d4sאא
Scאאאא Sc : [Ar] 3s2 3p6 4s2 3d1
אאK אא א 3d אא
אא،א
אאא dאאאאאKאא א אאא 4p אאאאKא 10 אאאא אK? Kr ?אא Kfאdאאאאאא
- 38 -
אא
110
א
אא
אא
א
א
K21 × 1014 Hzאא א.1
K760 nmא א.2
،3.5 × 10-10 Jאאא א.3 K300 nm
Kאא10-20 kgאא א.4
אאאאאא א.5 Kאאא
Kאאאאא א.6
Kאא א.7
Kאאאאא א.8
Kאאאאא א.9
K2.5 × 106 m/s3 × 10-10 gאאא א.10 KאאאEℓFאאא א.11 Kℓ= 5אאmℓאא א.12
Wאאא א.13
ms=1/2, mℓ=-1, ℓ=1, n=3 Ems=-1/2 , ℓ= 4 , n=1 Eℓ= 1 , n=1En = 4E
Wאאאאאאאא אK14 a- Na d- Cl
b- F e- B
- 39 -
c- N f- He
אא
110
א
אא
אא
א
אאא =3×108 / 21×1014 = 143 ×10-9 m = 143 nm -34
8
E = 6.625 ×10 ×3 ×10 / 760 ×10 = 26.15 ×10-20 J
-9
אא א.1
Wא .2
אא .3 E = nhc / n= E h c = 3.5 ×10-10 ×300 ×10-9 / 6.625 × 10-34 × 3 ×108 =52.8 ×107 photons
Wאאאא .4 E = m c2 = 10-20 ×(3×108 )2 = 9×10-4 J
W = 109667.6 (1/n21 – 1/n22) =109667.6 ( 1/1 -1/ 42) = 102813.378 cm-1 = 1/ W = 97.26 nm W = 109667.6 (1/22 – 1/52) = 23020.196 cm-1 = 1/W = 434.21 nm
.5
En1 =2F .6
En=5F .7
W = 10966.6 (1/52 -1/62) = 1340.381 cm-1 = 100 ×1340 0381 m-1 = 1/ × c = W × c =1340.381 ×3 ×108 ×102 =40.21 × 1012 Hz
אא .8 En1 =1Fאאאא
W = 1/ E=h = hc/ - 40 -
אא
110
א
אא
אא
א
E = h c (W) = h c × R (1/n21 – 1/n22) =6.625 ×10-34 ×3×108 ×109667.6 × 100 (1/1 – 1/42 ) E = 2.09 ×10-18J
אאא .9
E = 2.18 ×10-18 (1/n21 – 1/n22) = 2.18 ×10-18 (1/1 – 1/∞) E = 2.18 ×10-18J
אאא
.10
= h / m v = 6.625 ×10-34 / 3 ×10-10 ×10-3 ×2.5 ×106 = 8.83 × 10-27 m ℓ = 3 ،n = ℓ Eℓ)אא .11 0 ,1 ,2 אא، 0, 1 , 2 ,….n-1אא
pאℓאאא،sℓאאא dאℓאאא
mℓ = 2ℓ +1 mℓ = 2×5+1 = 11
אאא .12
-ℓ , …..,0, …, +ℓ -5 ,-4 ,-3 ,-2,-1,0,1,2,3,4,5
א Wאא
.13 9 J32 J
א J6 J
a - F 1S2 2S2 2P5
b - Na 1S2 2S2 2P6 3S1
- 41 -
.14 F- אא
Na+אא
אא
110
א
אא
אא
א
c - N1S2 2S2 2P3 N3- , N5+ אא
d - Cl 1S2 2S2 2P6 3S2 3P5Cl-אא
3+
B אא
e – B 1S2 2S2 2P1
He אא
f - He 1S2 2S2
- 42 -
אא
אא
אא
3
אא
110
א
אא
אא
א
KאאאאאאWאא Wאא א א א א אא א J Kא
،אא אא J
Kא
Kאאאאא J
Kאאאאאא J KאאאWאאא KאאאאאאWאא
- 43 -
אא
110
א
אא
אא
א
WPeriodic Table of Elementsאא Wאא
אא א א א א
Kאא،א WDobereiner .1
،א
KאאאKאאאW،triads WNewlands .2
א א א ،א א א octaves א א
KאאאאK، WMendeleyev-Mayer .3
K א א א ، א
،א א א א אאאKאא
E3-1FאKא،אאא א א א א א א Kא א
Kא R،R2OאאאKא א K RO א א K א א
א، RO4אאK R2O7א
Kאאא א א،אא
،אאא
Kאאאאא
- 44 -
אא
110
א
אא
אא
א
KWE3-1F Period I R2O 1 H=1 2 Li=7 3 Na=23 4 K= 39
II RO
III R2O3
IV RH4 RO2
Be=9.4 Mg=24 Ca=40
B=11 C=12 Al=27.3 Si=28 Ti=48
5 6
Cu=63 Rb=85
Zn=65 Sr=87
Y=88
7 8 9 10
Ag=108 Cd=112 Cs=133 Ba=137
11 12
Au=199 Hg=200
V RH3 R2O5
VI RH2 RO3
N=14 P=31 V=51
O=16 S=32 Cr=52
VII RH R2O7
VIII RO4
In=113 Di=138
F=19 Cl=35.5 Mn=55 Fe=55, Co=59 Ni=59, Cu=63 As=75 Se=78 Br=80 Zr=90 Nb=94 Mo=96 Ru=104, Rh=104 Sn=118 Sb=122 Te=125 I=127 Pd=106, Ce=140 Ag=108
Er=178
La=180 Ta=182 W=184
Tl=204
Pb=207 Bi=208 Th=231 U=240
Os=195, Ir=197 Pt=198, Au=199
Wאא א.4
، אאאא
א KE א F א א א א א א א KEF EאF
Kאא א אא، Bא ،EאF A א א
E3-1F אKEאאא f אא dאאFא
Kאא
- 45 -
אא
110
א
אא
אא
א
KאאאWE3-1F WAא J
אא א א א EF
אאWKאאאKא
Kא،n=3،אn=2،אאn=1،ns1Wא n=3 n=2 ns2np5 א א א א א
n=1 ، ns2np6 א אא א אא Kא ، אאאאKא، n=2،
Kאא א א אאאא
Eא F א א א א א
אאKאאEאאFאאאא
KEH+, Li+, Na+, K+,…FאF א
אא אאאאאא
KF-, Cl-, Br- , I- :،אאאא WBא J
E2A,3AFאאאאאאא
א א א Kא אא א - 46 -
אא
110
א
אא
אא
א
EאאאFא 3dאאא،EScF
א K3A א Eאא אF 3d אא
d-block dאאE6 J4FאאBאא
אא elements
א א א 1B א א א א Kא
Zn, 2Bאאא EAg+,Cu+,Au+Fאאא 8 J6 KאEZn2+,Cd2+,Au+Fאאא Hg, Cd,
Os, Ir, Pt،אאRu, Rh, PdאאאFe, Co, Ni8Bא Kf-block elements fא dא Kאא
AcאאאLaאFאא
Kאאאא،Eא א
K 14 ،אאאא fא
Kf אאאאאאאאא
Wאאא אאEFאאאא
א Kא אא א
אאKאאאאא
Wא
א،EאFאאא nאאא .1 KELiNaFLiאNaא
Kא א ، אא א א א א .2
א אFאאא ،אאEאFאאאאאKEn
Kאא
Kא אאאאא .3 K א אא אא אא s > p > d > fWאאאא - 47 -
אא
110
א
אא
אא
א
א ،אאא א אא .4 Kאא
WAtomic sizeאא
E3-2FאKאאאאא
אאKא Aאאאא
אאאאאאא א א Kא א
א W ،א אא Kא
א א אא א ،א Kא
Radius, A
3
2
1
0 0
5
10
15
20
Atomic Number
KאאאאאאWE3-2F
WIonization energy (I)א
Kא א En=1F א א א א
אאאאאאא - 48 -
אא
110
א
אא
אא
א
אאאאאאאKא،א
אWKא،אא
+
Al(g) → Al (g) + e ; I1 = 580 kJ/mol Al+(g) → Al++(g) + e ; I2 = 1815 kJ/mol Al++(g) → Al+++(g) + e ; I3 = 2740 kJ/mol Al+++(g) → Al++++(g)+ e ; I4 = 11,600 kJ/mol
(3-1) (3-2) (3-3) (3-4)
אAl3+אאאאא
אא،אאאא
E3-2FאKEאאFאאא
WאאאKאאאאאא
J2Kאאאא אא J1
א א J3 Kא א א א
א אאא J4Kאאא ،אא J5KאאEאאFא
אאא،אא،אאא
Kאא،אאאאKא
Ionization Energy, kJ mol
-1
2500 2000 1500 1000 500 0 0
5
10
15
20
25
Atomic Number
KאאאאאאאWE3-3F
- 49 -
אא
110
א
אא
אא
א
אא א א אא א א
אא אא אא א א K Kא
WElectron affinityאא
אאאאא X (g) + e → X (g) (3-5) אKאא،אאאא
אאאא א א E3-4Fאאאא ،א،אאאאאKאא
Wאא
،Es אאFאא،אאא .1
א אF א אא ،E אא F א א
KEא
אא،EBe, Mg, Ca, …Fאאא אא .2
א א א אא،pאא
Kאאאא
א אא .3
Kאאאא
- 50 -
אא
110
א
אא
אא
א
Electron Affinity, kJ mol
-1
300 200 100 0 -100 -200 -300 -400 0
5
10
15
20
25
Atom ic N um ber
KאאאאאאאWE3-4F WElectronegativityאאא
PoulingKא אאא
אאאbond energyאאאא Wאאאא Ky-xאאx-y
א x-yאא–א x-yאZאא 2DEy-yאאHx-xאאFZאx-yאא 5 Electronegativity Electronegativity
4 3 2 1 0 0
5
10
15
20
25
Atomic Number
KאאאאאאWE3-5F - 51 -
אא
110
א
אא
אא
א
א ،4 א א א
אאאאאאE3-5FאKא
אאאKאאאאאKא
Kאאאאאאאאאא
אאKאא א אאאא אאאאאאא -FאE+F אאאאKאא
Kאא،E
אאאאאW
W
KCl-Cl ،H-Cl،Na+ Cl J א :אאא אאאאא Kא א W א.1
،Bאאאא1A2A א
Wאא3A4A 5A א Kאאאא J
KEאFאאאא J
Kא J
Kאאאאא J Kאאא J
א א א א א אא J
Kאא
א אא אא א א א א J
Kא
KEאFאאאאאאא J - 52 -
אא
110
א
אא
אא
א
Kאא J
W א.2
א א E F א א אא
א ،א Kא א א א א Kא{Wאא
Wאא Kאאאא J
Kאאאאא J Kאא J
א א E א F א א J
KEאאאאאF Wא .3
א א א ،א א א א
א א Kא א א א
As3+ Sb3+ Al3+ FאKא
אAlO2-אאאKEB3+Si4+ אאKB4O72-אאAsO32- אSbO2-
Kאאא،א - 53 -
אא
110
א
אא
אא
א
א
؟ J1
؟אא J2
؟אאא J3
؟אאא J4
؟אאאאאא J5
C , Be, F, Li, H Wאאא J6
N, O, B, Ne Wאאא J7
N, O, F, Mg Wאאאא J8 F, N, Be, B Wאאאא J9
H, Li, O, N, KWאא J10
Li, Ca, He, S, C Wאא J11
Na, Ne, Al, P, Cl Wאא J12
O, Cl, Ar, N, H Wאא J13
K؟אאא J14
Kאאא15 J15
؟אאאאא J16
- 54 -
אא
110
א
אא
אא
א
אאא
א א א א .1
א ،א אא א Kא א
Kאאאאא
אא א א א א .2
Kאאאאאאאאאא אא א،אאאא אא א
א א א K א א א א K
א א א א א .3
Wא،
א א K B א א A א
א K א אא 1A,2A,3A,4A,5A,6A,7A
1B,
2B,
3B,
4B,
5B,
6B,
7B,
8B
א
KBא
א אא אאא .4
אאא א אאא Kא
א א אא א.5
אאאאאKא K
Li > Be > C >F > HWא .6
Ne > N > O > BWאא .7
F > O >N> Mg Wאא .8 F > N > B > Be אא .9
Li , K Wא א.10
He , S , C - 55 -
Wא א.11
אא
110
א
אא
אא
א
Al Wא א.12 ArWאא א.13
אא א א א א .14
Kא אאא אא
{אEFאא
אאא2sאאאא .15
Kאאא،א2pאאא
א K+ , Na+ , Li +אאא .16
Kאאאאאאא
- 56 -
אא
אא
אא
4
אאא
110
א
אא
אא
א
KאאאאWאא Wאא Kאאאאאאאא J
Kאאאאאאא J Kאאאאא J
Kאאאאא J KאאאWאאא
KאאאאאאאWאא
- 57 -
אאא
110
א
אא
אא
א
WChemical bondingאא
אאא،אאא
אאאאא،אא א CH3Cl א ،ECl-F ENa+F
א ،אאא Kא
א א א K א א
، א אא א א
אא א Eא אא F א א א אא KEא אא F א
Kאאאא WIonic bondאאא
7A,6Aא 1A,2A,3Aא
א א،אאא
א א،אאא אא 2Na + Cl2 → Al + 3F → 2Ca + O2 →
WKאא
2NaCl AlF3 2CaO
(4-1) (4-2) (4-3)
אא، Na Cl , Al (F ) 3 , Ca 2 O 2 : אאאאא
אKאאאאאאא א א א ،EאF א א
WאאKEאFא
1
Na Cl : Na : Cl :
Ne3S Ne3s 2 3p 5 Ne Ar
- 58 -
(4-4)
אאא
110
א
אא
אא
א
NeאאאClNaאאאא אאאא KAr
WאאאK E=2.31 ×10-19 (q+ q- / r) (4-5) q- q+nm אאr(J)אאE Kאאאא
א א א א א א W
K1. 81 Å 0.95 Å אא،א
r = 0.095 + 0.181 = 0.276 nm q+ = 1 , q- = -1 E = 2.31 × 10-19 q+ q- / r = 2.31×10-19 × (+1) × (-1) /0.276
Wא
= -8.37 × 10-19 J ،א אא Lattice Energyא
אKאא Crystal lattice
א א א א
،Octahedralא אא،א א א א KE4-1F ،א א Kאא
KאאאWE4-1F
- 59 -
אאא
110
א
אא
אא
א
Wאאא
א אאאאEFא
Kא
Li+(g) + F-(g) → LiF(s) + W
E= K q+ q- / r
Wא (4-6)
Kא אא K א E
Kq+ q-،אE אא NaCl MgCl MgO
-789 kJ/mol -2570 kJ/mol -3890 kJ/mol
WאאאW
WKאא
r = 0.196 nm-1047k J/molאא
r = 0.276 nm-789 kj/mol א
Wאאאאאא
250 kJ/mol א ،LiF א א W
154 kJ/molא א 161 kJ/molE FאEF Li(s) F2 WאאLiF-328 kJ/molאא
K-617 kJ/mol،
WאאLiFאWא Li(s) → Li(g) + 161 kJ/mol
(i)
Li(g) → Li+(g) + e + 520 kJ/mol (ii)
½ F2(g) → F(g) + 77 kJ/mol
F(g) + e → F-(g) -328 kJ/mol F-(g) + Li+(g) → LiF(s)
+ E
W J
W J
(iii) W J (iv)
(v)
Wאא J
Wא J
WאLi(s)F2(g) LiF(s) אא Li(g) +½F(g) → LiF(s) -617 kJ/mol (vi) KאE Ei-viFא - 60 -
אאא
110
א
אא
אא
א
Wאא
א א אא א א
אKאאאE4-1FאK
Kאאאdאאאא
1+ Li+ Na+
KאאאאWE4-1F 2+ Be2+ Mg2+
K+
Ca2+
Kb+
Sr2+
Cs+
Be2+
3+ Al3+
3N3P3-
2O2S2-
1FCl-
Se2-
Br-
Te2-
I-
אאאd אאאא
א ، Cu+, Ag+, Au+ , Zn2+, Cd2+, Hg2+ , Ga3+, In3+ , Tl3+Wא
Pseudo-noble gas אאא،אאא ns2 np6 nd10 א
، Fe3+ , Mn2+ d אאאא א Kconfiguration
Wאאאאא Cr3+ , Cr2+ , Fe2+ , Ni2+ , Co2+ , Cu2+ , Sn2+ , Pb2+ WIonic sizeא
،א א א א א
א א Kאאא WKאא،א Al3+ < Al , Ca2+ < Ca , Na+ < Na , Li+ < Li K S2- > S , O2- > O , Cl- > Cl , F- > F W
Li+ < Na+ < K+ < Cs+WKאאאא א אא א KF- <Cl- <Br- < I-
אאאאאKisoelectronic ionsא
،O2-, F-, Na+, Mg2+ , Al3+WאאאKאא
O2- > F- > Na+ > Mg2+ > Al3+W
- 61 -
אאא
110
א
אא
אא
א
Wאאא
W אאא
KEאFאאאEאFאא .1
א א א ،א א .2
K א،אא
אא א .3
Kאאא
Kאא .4
2Cl- ،Ca2+ Cl- CaCl2 א א א W
Kא
2Al3+ א SO42- Al3+ Al2(SO4)3אא W
K3SO42-
א SO42- NH4+ (NH4)2SO4 אאא W
KSO42-2NH4+
KאאאאאWא
K 2P3+ 3Mg2+אא،Mg2+ P3- א א Wא
W
(4-7) 2P + 3Mg → Mg3P2 WPolyatomic ionsאאא
א אא א אא א
א א ، ، א K א א
KE4-2Fא
- 62 -
אאא
110
א
אא
אא
א
KאאאאאWE4-2F א
Ion
א
NH4+
Ammonium
H3O+
Hydronium
CO32-
Carbonate -
HCO3
Bicarbonate
NO2
-
Nitrite
NO3-
Nitrate
SO42-
Sulphate
S2-
Sulphite -
ClO4
א
Perchlorate -
א
CH3COO
Acetate
Cr2O72-
Dichromate
MnO4-
Permanganate
א
W covalent bondאאא
א אא
pure covalent א אא Kא א א א O2 אH2אאאא
אאאאKא Cl2 א
אא KHCl א א polar covalent
אא א
Kאא
؟אW
KאאE4-2FאWא
- 63 -
אאא
110
א
אא
אא
א
K אWE4-2F
א אא א א א א
،אאא ، (Potential Energy= PE) אא
Kא א א PE א PE א
א א א K0.74 Ǻ א אא א א K אא א א א
א H2 א Kא א א א
WE4-3Fאאא H
H H2
KאאאWE4-3F H2 KאH2 אאEאא
א א א א אא Kא א א KH-H H-F H-Cl
- 64 -
Cl-ClWאא
אאא
110
א
אא
אא
א
אאאא،אאאא
אאאאא(-)(+)אאKא H-H H+-FH--Li+ C+-OH+-CN+-OC+-NCl-Cl
WKאא
אאאKאאאאא
אKאאא polar molecule א
Kאאא،אאא
،אאאאאא אא KאאאאאאKE4-4F א
؟C-ON-OאאWא
K 3.6 3.02.6W O, N, C אאא -F -F
H+ -F
-F
H+
H+
H+
KאאאWE4-4F
N-O אKא אאאאא Wא
C-Oאא אK3.0 – 2.6 = 1.0. אC-Oא، 3.6 - 3.0 = 0.6א
א א א א אא KN-O אא
Kאא
- 65 -
אאא
110
א
אא
אא
א
אאאאKאא WE4-5F
H2
HF
LiF KאאאאWE4-5F
W Bond Energyאא
אאאאאאאא
אא אאאאאא KEאF KאאאאאאאאאKא W
א א CH4 א
אא .1652 kJ
אא C-Hאא אK1652 kJ
413 אאK1652/4 = 413 kJאא C-H א
אא אא א ،C-H אא kJ 4-Fא ،אאאאאKאא
- 66 -
KE3
אאא
110
א
אא
אא
א
Bond H-H C-C Cl-Cl N-N O-O N-Cl
E/kJ mol 432 347 239 160 146 200
-1
Bond H-C H-Cl H-N H-O N=N
KאאאאWE4-3F E/kJ mol-1 413 431 386 459 418
Bond C=C CC N≡N O=O C-O C-N
E/kJ mol-1 614 839 941 495 358 705
א ،אא א
א ،א א א א א א א א K
Kאאאא
KאאHClאאWא WאWא
H2(g) + Cl2(g) → HCl(g) (4-8) ،Cl-Cl אא H-Cl אא א
KH-Hאא
אא JאאZEHFאא
H = ½ E (H-H) +½ E (Cl-Cl) – E (H-Cl) =½ (432+239) - 431 = -95.45 kJ
CH 2 CH 2 ( g )
(4-9)
אאאאW2א H 2 CH 3CH 3( g ) (4-10)
FH-HC=C4(C-H)EFC-C6(C-H)א KE
EFאאHEFאאZEHFאא H = -6E(C-H) - E (C-C) + E (C=C) + 4E (C-H) + (H-H) (4-11) =-6×413 - 347 + 614 + 4× 413 + 432 = -127 kJ ،א אא Single bond א Kאא triple bond אdouble bond KאH-H H-C
אC=C
C=O
C-OW
N=N
א N≡N C≡C
- 67 -
אאא
110
א
אא
אא
א
אאאאEאאFאאא،אא אאאאאKא N≡N < N=N < N-N C≡C < C=C < C-C
Wאאא
WCovalent bonding theoriesאא
Molecular א אאא ،א א EF
א Localized electron theory א א orbital theory ،אא א א KValence bond theory א א
א א Molecular orbital א א א K אא א א KAtomic orbital
א א א K א א א K א א אא אא
Kאאאאאאא
אא ،Lone Pairs א א אא א א א אאאKBonding pairsאאאא א
אK אא
WאאאאאאKאא Lewis א א אא א א
אאאאאאאאאאKstructure Kא
Wא K
אא א
אא ،א א K א א א
KOctet ruleאאKאא
Kאאא،אאא KאKH:HH HאW - 68 -
אאא
110
א
אא
אא
א
אאKCl:Cl Cl00ClאW2
KEאאFאאא8אאאא
WאKאאאW3 H 4H
+
C
H C
H
H
(4-12)
WאKאאאW2 2H
+
H O H
O
(4-13) אאאאאא
4H 4Wאא Kאא KNe אא8Z
KאאאW5
H
H + N
H
N
N
H
(4-14)
Wא
H
Kא א אא
KNe אא،8Z6H2Wאא Wאאא
א א אאא
אאאאאאKאאאא WאאאK WOdd-electron moleculesאא J
א א א א א אא
NO2 א NO א א Kא WClO2א
- 69 -
אאא
110
א
אא
אא
א
א NO2 א
Kאאא Kאא WIncomplete Octetאא J
EאאFא
א electronic deficient
WאBF3 אא Kא F
B
F
F
Wexpandedoctetאא J
אאאEFא
W I3- אSF6א
WResonanceא
،אא א
אא Resonance formsאא
אאאאאאKא EFא،אKא
אאאא KN-ON=OW،א
אאאK؟א،אאא
- 70 -
אאא
110
א
אא
אא
א
N O
N O
O A
O B
N O
O
C
KאאWE4-6F
A א א ، אא KE4-6F א
Aא אאאאKB א א א
E אאFאאאא B
KECFאN-Oא
KאאאאאWא
אאE4-7Fא B Aא Wא KCא
C C C C
C C
C
C
C
C C C
C A B KאאWE4-7F
WGeometry of moleculesאאא
EאF אא א א א א
Valence Shell Electron Pair אאאאK
אאא אאKRepulsion
אאאאא א K א אאאKאאא אאא K .H-ClH-HEאFLinear
- 71 -
אאא
110
א
אא
אא
א
WTwo bonding pairs J Kאאא
Cl-Be-ClאW
אא E Fאאא
K Linear،180oא Cl-Be-Cl אא
180o
Be Cl Cl KאאאאWE4-8F
W Three bonding pairsא J
KEאFאאא
אאאא BF3א W
Ktrigonal planar אאא،120oא 120o B F F F
KאאאאWE4-9F
WFour bonding pairsא J
א א EאF א א א א
K109.5o אאאאtetrahedral
אאאEparaffinsאאFאא CH4 אW
Kאאא،אא - 72 -
אאא
110
א
אא
אא
א
H
109.5o C H
H
H
KאאאאWE4-10F
:EH3Fא J
א K א 3 א א
Kאאאאאא،אא
tetradedral א אאא א، NH3אW
אאאKtrigonal pyramid אא א א אא א א E107o אF אא
K
lone pair
CN H H
H 107o
H
NN H H
H
H KאאאאWE4-11F
- 73 -
אאא
110
א
אא
אא
א
:EאHFא J
א K א א א
Kאאאאאא،אא
אא אאא א، H2O א W אFאאאאאאKbent
KאאאאאאאE104o lone pair
O H
H 104.5o lone pair O
H
H H KאאאאWE4-12F
W Hybridization of orbitalsאאא
אא א א אא א א
אאC-HאאKא
؟Kא2pאא2sאא א2p+2sאאאא،אאK
אאא F א ، אא Hybridization א
א א א א Kא אא Eא
אאאא،אאאא
אא א אא א Kא
KEF
- 74 -
אאא
110
א
אא
אא
א
Wאא J
،EσFא،א אאא
2pאאא 2sאאא،sp3אא א א א Ksp3 א אא
K א אא אא א ،
KEE4-13FFאאא1sאאאאאא 1 0 9 .5 o H y b rid iz a tio n
+ 3 2s
4sp3
2p
4
1s
H
1 0 9 .5 o C C H
H H HH
m e th a n e KאאאאאאWE4-13F
CH 3CH 3 אאא אW
،EF א א א Wא
אאאאאsp3אא
KE4-14Fא،אאאאאא
- 75 -
אאא
110
א
אא
אא
א
KאאאאאאWE4-14F Wאא J
אאאאאFא
K CH 2 CH 2 אWKsp2א Eא
K2s , 2px, 2pyאאאאאאא
אאאאאEאF sp z אא אא Eא א F
אאאאאאאאKאא
KEE4-15FFאאאאא
- 76 -
אאא
110
א
אא
אא
א
120o Hybridization
+4
2
2
2s 3sp2 2p 4 1s
H
H
H
H
C
H
H
C
H H H
ethylene KאאאאאאWE4-15F
Wאא J
א 2sאאא אאא
א sp אא K spא א א 2p א א . 2p z و2p y אאאא CH≡CH
אW
אאאאאאא
KEE4-16F،אאאא
- 77 -
אאא
110
א
אא
אא
א
180o Hybridization
+2
2
2
2s 2sp 2p 2 1s
H
C
C
H
acetylene
KאאאאאאWE4-16F - 78 -
אאא
110
א
אא
אא
א
א
א א ، LiF א אK1 K 0.6A و1.36A
–א – אאWא אא אK2 Kא–א Jא
K K , H , Na , Li אא K3 Na+ , Mg2+ , F- , O2-
אא K4
Kאאא אK5
אאאא ؟ N-H C=Oאא K6 K2,12,533,5Wא،אאא
Wאאא אK7
CH 2 CHCH 3 H 2 CH 3 CH 2 CH 3
614432413W،א،C-C C=C H-H C-Hאא KEkJ/molF347
PO4- , ClO2 , CH3-CH3 , NF3 W אK8 H2S , BrF3 , POCl3 Wאא אK9
BF3 , CO , O2 , N2 , NH3 , H2O Wאאא אK10
CF3 CH≡CHא CH3CH3אWאאא אK11 Wאא אK12
B- , Ar , C , Cl-Wאאא
CCl4 , NO2 , H2NNH2 , CCl3H Wאאא
K13
K14
- 79 -
אאא
110
א
אא
אא
א
אאא
Wאא K1
E=2.13 ×10-19 q+ q- / r אאq+ q- nmאא r E = 2.31 × 10-19 ×(1) (-1) / (0.06 +0.136) = -11.79 × 10-19 J
Wא אK2
Ca NO3אא Na2Sא
(NH4)2SO4א
KHCO3א CH3COONaא
K+ > Na+ > Li+ > H+Wא אK3
O2- > F- > Na+ > Mg2+Wא אK4
F- , O2- , N3- , Na+ Wאאא אK5
אאאאאאא K6 N –H = 3.0 -2.1 =0.9 C = O = 3.5 -2.5 =1.0
KC=Oאא
א אא א אא א אK7 WE،אאאF
H = -8( C-H ) - 2( C-C ) + ( H-H ) + 6( C-H ) + (C-C) + (C=C) = -2(C-H) - (C-C) + ( H-H ) + ( C= C ) = -2×413- 347 + 432 + 614 = -127 kJ mol-1
W K8 - -
F F- N F
H H
O
O
H C C H H H
O P O
O
O Cl
O
O
Wא אK9
- 80 -
אאא
110
א
אא
אא
א
Cl
F
O- P Cl
F
F Br F
Cl
H S H
F
Wא אK10 F
O=O
N
N
C
O
N O H H HH H bent trigonal pyramidal
F B F
linear
linear linear trigonal planar Ksp3אאspאsp3אWא אK11
Wא K12
N O
O
N O
O
Cl O
Cl
O
O
CH3
O
CH
CH
CH3
S O
O
O
S O S
CH2
O
O O
CH2
O
O
O S
S O
O
O
Ar , Cl-Wא אK13
Wא K14
אWאא J
Wא J Wא J
אWא J
- 81 -
אא
א
א
5
- 57 -
אא א
110
א
אא
א
KאאאאאWאא Wאא Kאאא J Kאאאאאאא J
Kאאאאא J
Kאאאאאאאא J
Kאאאאאאא J
Kאאאא J
KאאאWאאא KאWאא
- 82 -
אא א
110
א
אא
א
Wא
–––،א
FאEאFא Kא،אא
KEאאאFE1:2אא אאאאאW،א،א
א א Kא
אאKא،א،
אא،אא
، א א Kא א א א א ، א א K
אאא،אא אKאא
א א א א ، א Kאא
،א א Kא ،אא
א אא א א א א א Kא א
אאאאא ،אאאא Wא
Wא אK1 Wא א ،אאאאא
،אאאאאאKא
،אא אאאאאאאKאא
א א א אא
Kאא אKאאא
E5-1FKK Kאאאא
- 83 -
אא א
110
א
אא
א
Wgas lawsאא :boyle’s law J
EVF א א Kא
W KET)אאEPFא
P 1/V
(T,n)
P = k1 /V
(T,n)
(5-1) : (5-2)
Kאאא،אk1 : Charles’ law J
אKאא،
KEPFאETFאאEVFא
V T V = k2 T
(P, n) (P, n)
:
(5-3) (5-4)
Kאאk2 WAvogadro’s Hypothesisאא J
אא،אאאאאא Vn V = K3 n
WKEPFאETF
(T,P) (T,P)
(5-5) (5-5)
WאKאאk3 P T (V,n ) (5-7) (T,V) (5-8) Pn (P ,V) (5-9) T n :אאאאא (5-10) PV = n R T אאKא،אאR
،ideal gas lawאא ، ،universal gas law א א
א F א א א אא
KאאאאאאEא - 84 -
אא א
110
א
אא
א
KאאאאאאאWE5-1F א
א
atm mm Hg
Atmosphere Millimeter Hg
L cm3 K o C mol
Liter Cubic centimeter Kelvin Centigrade mole
א
אא
א
P
Pressure
א
V
Volume
א
T
Temperature
אא
n
Number of moles
א
:אאאאRא
R = PV/nT (5-11) Z F א א 22.414 L א א א א
:KאאE273.16 Kא،1atm
R = (1×22.414 )/(1×273.16) = 0.082 atm L /K mol
(5-12) WDalton’s lawא J
א א ، א אא
،א א א א ، H2 N2 O2א Kא
WEPtFאאא، P(H2) P(N2) P(O2)W،
Pt = P(H2) + P(N2) + P(O2) Fאא(5-10)אאאאP∞ n PO2 = {(nO2) / (nO2 + nN2 + nH2)} Pt
WEא
؟אאאא אאWא WGraham’s law of diffusionא J
א א א א א א א אא
WKאא
Kאאאא،אאא - 85 -
אא א
110
א
אא
א
W
(5-15) C ∞ 1/d WאKאאCאd 1/2
d = w/V n = w /M
(5-16) (5-17)
WאאאKאאMאw PV =
(w/M)RT
d = (P/RT) M C 1/M1/2
(5-18)
:א(5-16),(5-18)א (5-19)
Wא(5-19),(5-15)א (5-20)
Kאאאא
W B وA
CA/CB = (MB/MA)1/2 = (dB/dA)1/2 = tB/tA (5-21) ،א B Aא אא tB tA
،א א א K אא א KאאאtB tAאא :אאא J
،א אא א א א
، א א Kאאא אאאאא Kאאאא
K א א
א ،van der Waal א ،א א
אאא Kאא
Kאא ،א א א א Wאא
אאא .1
Kאאא
Kאאאאאא .2 - 86 -
אא א
110
א
אא
א
Kאא .3
Kאא .4 W J
א א א א Wאא
،(V- nb) א V אאא K KאEF b אn
א א א Wא א
EאF א א Kא א
P’ ،P + P’ ،א א א א א
א א א Kא א א W،אאא
P’ (n/V) (n/v) P’ = a n2/V2
(5-22) (5-23)
،אאאKאa
WEאFאKאא
PV = nRT
(5-24)
(P+ an2/V2) (V – nb) = nRT
WEאFא (5-25)
K(5-24) א א ، (5-25) א אא א ،אא אא،b a א،
Kאא
Wאאאא
אאא
:אאא
Kאאא J
Kאאאא Kאא אאא J
critical א א א
א critical pressure, Pc, אא،temperature, tc, - 87 -
אא א
110
א
אא
א
א critical volume, Vc, אא ،אא
אאא Vv Pc Tc אאא Kאאאא
אEא אFאא Kאא Fאאא ،אאא KE
א Lא atmאאאא W
אא ،oC K אא א mol
Kאאאאאאאאא
Wא אK2 ،אאאאאאאא
א ،א א א א א א א
EאFאאKאא KEאF
Wאאא J
אא0אאאא
א א א אאאא،אאא
Kאאא אאא ، אא א א א א א א
KEאאאFאא WViscosity א J
א א Kא א א א
אL1אאא Viscosity coefficient אאאאK1א
Kpoise אא(
=fℓ/Av (5-26) 2 אv cm Aאcmℓאdyneאf
WאKcm/s
- 88 -
אא א
110
א
אא
א
Wאא .1
4
=r Pt/8ℓV (5-27) r (cm)t (s)אאV (cm3)
KP (dyne cm-2)אℓ (cm) Wאאא .2
א א א
Wאא
= d1 t1 / d2 t2 (5-28) t2 t1،א d2 d1 ،אא،א 1
Kאאאאאאאאא
Kאאאאאא א
Kאאאאאאא Wsurface tension ()אא J
אאא
،אאאא
א א א א Kא א א א אאאא ،א א Kdyne/cmאא ، 1א
אFאאאא KEא
Wאא J
אאאא א
אאאאא،אא
אאאאאKא
א א Kאא EאאF
Kאא،EאאFאא E3-1F ،contact angle ( א א - 89 -
אא א
110
א
אא
א
אאאאאאאאא Kאאאאא،EFאאא Gas
Gas
Liquid Solid
Liquid Solid
KאאאאאWE5-1F
:אא J
אאאא
KE3-2F א ، capillary rise method
Kאאאאאא،א
KEFאאאEFאאאאאא
h
KאאאאWE5-2F
אCאאZEF1Fאא
F1 = 2 r cos (5-29)
אZEF2Fא
F2 = r2 h d g (5-30) Kאg אd אאh אאr
אZאWאא
K≈0 Wאאאאאא = ½rhdg
(5-31)
אאאא،אאא
Eא –אFאאא ،א - 90 -
אא א
110
א
אא
א
א KEאFאאאא א
Kאאאא
א א א א W אא J
K
،א א EF א W א J
אא א א Kא א א א
א אאא،Latent heat of boiling אאא
Kאאאא
א א א א W א J ،אאאאאאא אא
Kאאאאא
Wא א.3 ،א א א א א א אא
אאKאאאא
Kאאאאאא Kאאא אאאKאאאאאא
א ،א א א א ،א א אאאאאאאאKאאא
אאאאKEאאאFאאא Miller ، אאאא
Kindices
Wאאאא Wאא א.1
אאאאאאאא
EFאאא .א Kא
- 91 -
אא א
110
א
אא
א
Wאא א.2
אאאאאאאאאא
.אאאאtetrahedral א
Wאא א.3
אאאאK אא א
EFאאאא
.אאאאא
Wא .4
אאאאא אאאאא
אאאאאא
Kאאאא Wאאא .5
א א א אא אא א
א א א א א א
א א א א א
א א א K א אא א אא
א אא Kא א KאאאאEאF Wאא .6
א א א א אא
א אא א אאא אאא KE3-3F
- 92 -
אא א
110
א
אא
א
C
C
C
C
C
C
C
C
C
C
אאאאאאאWE5-3F Kאאאאאאא
- 93 -
אא א
110
א
אא
א
א
0 735 24א K{793א .1
Kאאאא
، א 38,734 ، 500 א .2
Kא 39,135 24א 1א
Kאאאאאאאאא
K 0,893 80 א 0,452 א .3
Kאאאא
א ،א 10א א 5אא .4
KאאאאאK6א9אא
27אאאאא א.5
27אאא،א K325,6אא،
א א א א א .6
אאאKא ، 8,5 3א Kאא،2
، 3,5 א 85א א.7
Ka= 0.15 L3 atm mol-2 , b= 0.012 Lmol-1Wאא
،20אאאאא .8
1,000אאאא،4אא Kאא،3א0,792
0,2אא א.9
K3א1,017א،7,3א
- 94 -
אא א
110
א
אא
א
אאא
אאאאאאא אK PV / T = PoVo /To :E P=1 atm, T= 273K)אאPo,Vo, ToאאP,V, T V = (PoVo / To) (T / P) = ( 735 /760 × 0.763) / ( 24 +273 ) × 273/1 = 0.678 L
אא K
PV = nRT = W/M RT W = W2 –W1 = 39.313 -38.7340 = 0.579 g
M = W /PVRT = 0.579 / 1×0.5 × 0.082 ×( 24 + 273 ) = 28.2 g
אאאא K
PV / T = PV /T V = PV / T * T /P = 0.893 × 0.452 ×273 / 297 × 1 = 0.371 L P1V1 = n1RTא K P2V2 = n2RT
P1V1 + P2V2 =(n1 +n2 ) RT P ( V1 +V2 ) = (n1 +n2 ) RT
א
،אא
P ( V1 +V2 ) = P1V1 + P2V2 P = P1V1 + P2V2 / (V1 +V2 ) = 5× 9 + 10 ×6 / (5+10) = 7.0atm
אאא K PV = n RT
אאאא P = P(H2) + P(H2O) 1atm = P(H2) + 27/760 P(H2) = 1- 27 /760 = 0.964 atm n = PH2V / RT = 0.964 × 0.0256 / 0.082 × 300 = 0.001 mol - 95 -
אא א
110
א
אא
א
Wאאא K ( MMethan / MHydrogen )1/2 = t2 /t1 MMethan = (t2 /t1)2 × MHydrogen = ( 8.5 /3 ) × 2 = 16 g 2
K
2
(P +an /v ) ( V- nb ) = nRT P = ( nRT/ V –nb) - (an2 /v2) = [ 2×0.08 ×358 / (3.5 -2 ×0.12) ] - [ 15 × 22 / (3.5)2] = 13.11 atm
אא אK
η /ηwater = d t / (d t ) Water = ηwater d t / dWater t Water = 0.010002 × 0.792 × 20 / 1.0000 × 480 = 0.000307 poise
Wאא אK
= ½rhdg = 0.5 × 0.02 × 7.3 × 1.017 × 980 = 72.76 dyne/cm
- 96 -
אא
אאא
אאא
6
אא
110
אאא
אא
א אאא
KאאאאאאאאאWאא Wאא Kאאאאאאאאאא J Kאאאאאאא J
Kאאאאאאאא J KאאאWאאא KאאאאאאאWאא
- 97 -
אא
110
אאא
אא
א אאא
WChemical equilibriumאאא
Wאא aA + bB yY + zZ (6-1) a,b,y,z א א ،אא Y,Z אא א אא A,B אא
אKאאאאאאאא
א
אאאאאא ،אאא ،אKא אא אא אKא
،אא א אא א אאKא
WאאאKאאא
אא ،VfEאאFאאא
WVbEאאFא
Vf = Kf [A]a [B]b Vb = Kb [Y]y [Z]z
(6-2) (6-3)
KאאאאE6-3, 6-2Fא
K?אאאאאאא?א Vf = Vb Wאא،E6-1Fאא
K = Kf/Kb = [Y]y [Z]z…./[A]a [B]z (6-4) WKKאאK
אאאאWK → ∞ אא K אאא Kirreversible reactionאא
KאאאאKאא aB + bB → yY
:אא
+zZ
(6-5) אאאאWK = 0 אKא K
WאאKאאא،
aA + bB
← yY + zZ
(6-6)
א אא א א אא א א
Wאאאא
yY + zZ → aA + bB
- 98 -
(6-7)
אא
110
א
אאא
אא
אאא
א،E∞FאKאא
KE6-1Fא،reversible reactionאא
،אאאאאאאאE6-1Fאא
א א concentration (C) א
אKאאאא،[] א
אא KKCאאא
KאאאאKpartial pressure (P) Wאאא
P/RT = 1/V = C
(6-8) KאאאV אאאTאאR
Wאאאא WKPאא،אE6-1Fאאא
KP =PyY Pzz / PaA PbB (6-9) אא אKY,Z,A,Bאאא PY,PZ,PA,PB
WאE6-4FאK(6-8)אא،KCKP
(PY / RT)y (PZ/RT)z /(PA /RT)a (PB/RT)b (6-10) {PyY PzZ / PAa PbB } {1/RT}(y+z) –(a+b) (6-11) (y+z) –(a+b) KP {1/RT} (6-12) n Kc (RT) (6-13) א א n א Kn = (y+z) - (a+b) KC = = = KP =
אEאFאאאא
Kאא
WLe Chatelier Principal
אא אא E אא אF א?
K?אאאא
אא א א א
Fאא
Wאא،Eאאאאא
- 99 -
אא
110
אאא
אא
A + B
א אאא
C + heat heat
Kאאאאאאא A + B + heat
C
heat
Kאאא אאאאא אאא N2(g) + 3H2 (g) → 2NH3 + 22 kcal
WNH3אW1
(6-14)
KNH3אא،אאא
EאFא ،NH3 N2 + 3H2 אא
KNH3אא، WNOאW2
N2(g) + O2(g) → 2NO -43.2kcal (6-15) NO אא،אאא
KKאאאא Wאא Wאא K
אWn = 0Ei
I2(g) + H2(g) ↔ 2HI(g) a - x b-x 2x
(6-16)
אאKH2I2אאאa,bHIאאx WEאFאאא
P(H2) = {(b-x)/(a+b)} Pt P(I2) = {(a-x)/(a+ b)} Pt P(HI) = {2x /(a+b)} Pt
(6-17) (6-18) (6-19)
Wאא אאאאאא a - x + b-x +2x = a+b
WאKP - 100 -
אא
110
אאא
אא
א אאא
KP = P2(HI) / P(I2) P(H2)
(6-20) W PHI, PI2, PHI(6-20)
KP = 4x2 / (a-x)(b-x)
(6-21)
Kאאאא
NO2אWn ≠ 0Eii
N2O4(g) → 2NO2(g) a-x 2x PN2O2 = { (a - x ) / (a+x) } Pt PNO2 = {2x / (a+x) } pt Kp = p2NO2 / PN2O4
(6-22)
(6-23) (6-24) (6-25)
W
KP = 4x2 Pt /{(a +x) (a-x)}
(6-26)
NO2אאא،אאא
KKPא
אWWא K
CH3COOH + C2H5OH } CH3COOC2H5 + H2O a-x /V b-x/V x/V x/V KC = [CH3COOC2H5][H2O]/[CH3COOH][C2H5OH] = x2/V2 /(a-x/V) (b-x/V) = x2 /(a-x)(b-x)
(6-27)
(6-28) (6-29) (6-30)
KאאEאFאאא
WHeterogeneous reactionsא אK
אאא אאאא
אאWKאא
CaCO3(s) } CaO(s) +CO2(g)
(6-31)
אאאאאאאאW Kp = P(CaO) P(CO2) /P(Ca CO3)
K (6-32)
Wאא
KP = P(CO2)
(6-33)
אאאאא אא KאCaCO3
- 101 -
אא
110
אאא
אא
א
א אאא
:אKPKCא J1
PCl5(g) } PCl3(g) + Cl2(g) +15 kcal
Kאאאאא WKCא J2
N2(g) + 3H2(g) } 2NH3(g) KKP = 1.44×10-5א،500 Kא
9.3 cm3H28.1cm3،אא 450 K א J3
KKPKCאK13.6 cm3אHIא
Na2SO4.10H2O(s) } Na2SO4(g) +10H2O(g)
J4
אא אKאאא 4×10-26. atm KP
K؟א،6 mm Hgא
- 102 -
אא
110
אאא
אא
א אאא
אאא
EFEאFא א J1
KP = KC RT ،Δn = 2-1 =1 KP = KC (RT)Δn א
KP = PPCl3 PCl2 / PPCl5 KC =KP /RT = PPCl3 PCl2 / RT PPCl5 15 kcalאא אאאא
Kאאאא
א אא،אאא Kאאא
n= 2-4 = -2،א J2
KP = KC (RT)Δn KC = KP (RT)-Δn = 1.44 × 10-5(0.082 ×500)-(-2) = 0.0242
אאאאא،אאא J3 KC = KP
2
KP =4x /( a- x) ( b-x) אxאאאא ab a = 8.0cm3 b = 9.3cm3 x = 13.5/2 = 6.6cm3 KC = 4×6.6 / (8.1 - 6.6 )(9.3 - 6.6) =6.52 KP = 6.52
אא J4
n =10- 0 =10 Kp =P10(H2O) P(H2O) = ( 4×10-25)0.1 = 0.00363 atm = 0.00363 / 760 = 4.8 mmHg א،אא 6 mm Hgא
4.8 mm HgאאאK
- 103 -
אא
א
א
7
- 95 -
אא
110
א
אא
א א
KאאאאאאWאא Wאא Kאאאאא J Kאאאא J
Kאאאאא J Kאאאאאא J
Kאאאא J
Kאאאאאאאאא J
Kאאא J KאאאWאאא
KאאאאאאאWאא
- 104 -
אא
110
א
אא
א א
W Electrolytes א
א א א א א
KElectrolysisאאאא K אא Kאאאאא
אא Kא ions אא Kanions،cations،אא
א،cathodeאאאאאא KE7-1Fא،anodeאאא anode
cathode
cation anion
KאאWE7-1F W Electrolytic conductanceאא
א،אאא
א א א א א KE F א
א ،א א א א ، ،Scm-1 conductivity () א K
1cm2אאאEאF אא
، א א ERF א א א K1cm Wאא
R=/ℓA (7-1) 0cm2א A cm א ℓ cmאא
، א 0 = 1/ W א Wא،equivalent conductance () אא × 1000/ C
(7
- 105 -
אא
110
א
א
אא
א
،S cm2 equi-1אא equivalent /L א C
Kא א א א WEאFCא،C
W J1
א א א ،א
אא∞K∞א،א
Wא،∞א
∞ = ∞ + ∞
(7-3)
Kאאאא ∞ ∞ WאKCl ∞W
∞ (KCl) = ∞ (K+) + ∞ (Cl-) (7-4) WNa2SO4∞W2 ∞ (Na2SO2) = ∞ (Na+) + ∞ (SO42-)
(7-5)
אאאאאאW
KEאאFא W J2
א Kאא א
Kאא ∞ Kא א KEαFא،אא Wאאאא
، α → 1 ،א EאF
Kא א א א K α א
א0אא ،
KNH3אאאא WIonic product of waterא
+
-
H2O } H + OH 1-α αα
אאאא (7-6)
- 106 -
אא
110
א
אא
א א
אא، EαF אא :אאא0E1-αF K = [H ] [OH ] / [ H2O] = α2 /1-α (7-7) Wאאאא،אא[H2O] K [H2O] =Kw = [H+] [OH-] = α2 (7-8) א E אF א α Kא Kw +
-
W،א α = ∞ (7-9) -7 2 -1 97.2×10 S cm equi אאאא ،אא א א K18 oC א
KE7-9FאαK∞= 540 S cm2 equi-1 ،E7-3Fא
א 10-14 Kw א Kα = 10-7، -14
+
-
+ 2
:אKE7-8F
- 2
Kw = 10 = [H ] [OH ] = [H ] = [OH ] (7-11) + -7 אא [H ] >10 EאFאא
א 0[H+] <10-7Eא F
א،אאאאא
אאאKאא
WאאpHKEpHFאEאFא pH = -log [H+] (7-12) א Kא א א א א
KאpH =7،pH>7 ،pH<7
א א א א א א W
א אאאא אאEאF
K
Wא.0.0001M HClpHאW1 pH = -log 10 = 4 (7-13) אא אאא -4
0אא
- 107 -
אא
110
א
אא
א א
:אKOHאאאK0.01M KOHpH אW2 pH = -log [H+] =-log ( Kw/ [OH-] ) (7-14) = -log 10-14 /10-2 =12
Wאא ??א،אאאacid
،אא א baseKproton donor
א אא ،proton acceptor??א א alkalinity א KE F א
א E F אא Kא א
EFאאאא Kא א،EαFאאKאEFא
KE7-1F
אא،א،אאאαאא אאאאאKאאאא،אא אאGlass electrodeא
W0.01N אWE7-1F
א
EαFא
א
0.93
HClא
0.96
H2SO4א
0.126
CH3COOHא
0.001
HCNא
WOstwald’s dilution lawאא
Mono protic acidsאא J
،HAאאאאEVF +
-
HA → H + A 1-α/V α/V α/V + Ka = [H ] [A ]/ [HA] = (α/V) (α/V)/(1-α)/V - 108 -
אאאאא
(7-15)
(7-16) (7-17)
אא
110
א
א
אא
א
Ka = α2 /(1-α) V Ka = α2C / (1-α)
(7-18) (7-19)
E7-18FאKLא Cא Ka
EVאFאαא،אא E7-16FE7-18Fא Eα << 1Fאא K Ka Ka= α2/V = α2C
(7-20)
α = (Ka /C )1/2
(7-21)
W
אα
WαAαB،B,A
αA /αB = [(Ka)A /(Ka )B]1/2
(7-22)
Kא Kaא
אאא J
אאאVאBOHא BOH → B+ + OH 1-α/V α/V α/V + Kb = [B ] [OH ] / [BOH] = (α/V) (α/V) / (1-α/ V) Kb = α2 / (1-α ) V Kb = α2 C/ (1-α )
(7-23)
(7-24) (7-25) (7-26) (7-27) 0אאאE7-27FE7-26Fא Poly-protic acidsאא J
אא אאאא
H3PO4א،H2SO4אKא אאKKא +
-
אW.א
H3PO4 > H + H2PO4 K1 = [H+ ] [ H2PO4-] / [ H3PO4]
H2PO4- } H+ + HPO42K2 = [H+ ] [ H2PO42-] / [ H2PO4-] 2-
+
HPO4 } H + PO
3-
(7-28) (7-29)
(7-30) (7-31) (7-32)
4
- 109 -
: א
אא
110
א
אא
א א
K3 = [H+] [ PO43-] / [HPO2-4] K1 = 7.6×10
-3
אאא
, K2 = 6.2 ×10-8 ,
K3 = 10-12
א אא אאא
KK3,K2אK1Kאאא
אאE7-19FאE7-29Fא Wאא،א
[H+ ] = α C = (Ka C)1/2 (7-34) K0.1Mאאאא JW
א،אאאאאא JWא אE7-34Fא،Ka= K1
[H+] = (7.6 × 10-3 × 0.1) 1/2 = 0.027 g-ion /L pH =-log (0.027) = 1.5 WpH א
Wאאא
،אאאאא
Ca(OH)2 א א Kא א א אאא،KAl(OH)3א
Kאא WHydrolysis of Saltsא
Kאאאא אאא
א EאאFאאא אאא א א K
Kאאאאא،אאא א JW
Wאאאאא
CH3 COONa + HOH } CH3COOH + NaOH -
+
CH3COOH } CH3COO +H NaOH → Na+ + OH -
- 110 -
(7-35)
(7-36) (7-37)
א
אא
110
א
אא
א א
אאOH-אאא אא،H+אOH-א0א
KpH > 7אאKEאFא אW2
אאאאא
NH4Cl + HOH } NH4OH + HCl +
-
HCl → H + Cl NH4 OH } NH+4 + OH-
(7-38)
(7-39) (7-40)
: א
א OH- אא،H+ אאא
KpH < 7،אאא
Wאאא CH3 COONa אW
Kh = [CH3COOH] [NaOH] / [CH3COONa] [H2O] (7-41) אKHydrolysis constantא Kh KE7-35Fא Kh = [CH3COOH] [OH-] / [CH3COO-] [H2O]
Wאאאא
(7-42) WKאאא،[OH ]=[NaOH]אא -
א 0א א ،[CH3COONa] = [ CH3COO-]
Kא
Kh = [ NH4 OH][HCl] / [ NH4Cl] [H2O]
NH4ClאW (7-43)
א
Kh = [ NH4 OH] [H+] / [ NH4Cl] [H2O] (7-44) ،Vאאא،אα
KאE7-42, 7-44אF Kh
K = (α/V) (α/V) / (1-α/V) = α2 / (1-α)V K = α2 C / (1-α )
(7-45) (7-46) (7-47)
- 111 -
אא
110
א
אא
א א
א،אאאא אאKא
KKhE7-47אF
WאpH pH א ،א א א pH א
Kאאאא
WאאE7-42FאWא J
Kh = [CH3COOH] [OH-] / [CH3COO-] = [CH3COOH] Kw / [CH3COO-] [H+] (7-48) Kh = Kw / Ka Kh אאKאאKw = [H+ ] [OH-]:א
א KKa א א א Kw א -
-
Wאאא
Kh = [CH3COOH] [OH ] /[CH3COO ] = [OH-] / [CH3COO-] = Kw / [H2]2 [CH3COO-] (7-49) WE7-49FE7-48Fא،אא [H+] = (Kw/Ka / [CH3COO-])1/2 = (Kw Ka / [ salt] )1/2
(7-50) (7-51)
pH = -log [H+] = -log ( kw ka / [salt ])1/2
(7-52)
א
EFאאאא JWא J +
pH = -log [H ] = -log (kw [salt] /kb )
1/2
:אאא (7-53)
؟אאWא Wאא F אאאא
WאאאEאHא
CH3COOH } CH3COO- + H+ (7-54) + CH3COONa → CH3COO + Na (7-55) KKa אאאאא Ka = [CH3COO-] [ H+] / [CH3COOH] - 112 -
(7-56)
אא
110
א
אא
א א
א H+ CH3COO- Ka א
אאKCH3COO- CH3COONaא א
א א ،א א אא אא אאKא
אאאKEאCH3COO- Fאאא K
Kאאא
K؟אאא JW1א KEאFאא،א
אא JW2א
K؟א
F א ، JW א
KEאאא W Buffer solutionsאא
אאאא
א א Kא
Kאא
W
ECH3COOHHCH3COONaFאא .1
E NH4 OH + NH4Cl Fאא .2
EH3PO3 + Na2B2O7Fאאא .3
EH2S + Na2SFאHא .4
Kא א א א א
Kאאאא
א Kא pHא
KpHאאאא - 113 -
אא
110
א
אא
א א
CO2א pH HCO3- ، pHא
Kא
؟אא
HCl Kא א
אאאאא ،א
א ،א א א א א א KpHאK
אאא OH- NaOH
א ،H3COO- א אא א OH-
א א א א א Kא
אאאאKא
Kאאא
W Henderson’s equationא
Wא א Ka = [CH3COO-] [H+ ] / [CH3COOH](7-57) [H+] = ka [CH3COOH] / [CH3COO-] [H+ ] = ka [acid] / [salt]
(7-58)
Wאא
(7-59)
Wאא
pH = pka - log [Acid] /[Salt] (7-60) K(7-60)אKא-logpא
Wאא
pH = pkw - pkb + log [base]/[salt] (7-61) KNH4Cl+ NH4 OH אאWא
WSolubility of Electrolytesא
א AgClאאא א
، g-ion/Lאא אKCuS א BaSO4
א א א K?S? א א ، א
:א
- 114 -
אא
110
א
אא
א א
AgCl(s) } AgCl(aq) → Ag+ + Cl+ (7-62) אאאאא AgCl(aq)אא AgCl(s)
Solubility product אא א אא KCl- Ag+ א Ks
KKsא
= [AgCl(aq) ] / [AgCl(s)] = [Ag+] [ Cl-] = S2
(7-63) (7-64) Ks (7-65) 0אאאאאא ،[AgCl(s)] =1
0KsאאCl -Ag+אאא"S"
؟אMg(OH)2Ksאאא JW1
Mg(OH)2 } Mg2+ + 2OH(7-66) 2+ - 2 2 3 Ks = [Mg ] [OH ] = S . (2S) = 4S (7-67) ؟Ca3(PO4)2 Ksאאא JW2 Ca3(po4)2 } 3Ca2+ + 2PO3-4 Ks = [Ca2+]3 [PO3-4]2 = (3S)3 . (2S)2 = 108 S5
(7-68) (7-69) (7-70) W Salting outאא
א א א א אא
א Kא א א א
0S = 10-5g-ion/L25אאאKא
Kא0.1M
+
-
WאאאאWא
Ks = [Ag ] [Cl ] (7-71) + 2 - 2 -5 2 -10 = [Ag ] =[Cl ] = (10 ) =10 (7-73) :א0.1 M NaCl Ks = [Ag+] × 0.1 [Ag+] = 10-10 /10-1 = 10-9 g-ion /l
(7-74) (7-75)
EFאאאא
אאK0.1M NaCl
אאאא Kאא
א א ،א - 115 -
אא
110
א
א
אא
א
אא אFא אאאKא
KEא
W Theory of acid-base indicatorsאאאא
،אאאאאא
Kא א ،
،אאאאא 0אא אא Kא
،א א 10 א א א א K0.1אאא ph. ph.אW
Wא
HIn → In- + H+
א
(7-76)
KאאIn- אאHIn
:E7-59אF
pH = pKa + log[In]/[HIn] (7-77) א pH=8.5Kpka = 9.5א Ka
pH = אKאא ،0.1 [In]/[HIn]א ph. K א،10[In] /[HIn]10.5
א א א ،pH 8.5 -10.5 א א ph.
K(Ka ± 1)אאא (Ka ± 1)אא
אאKא
א Kא pH ≠ 7 ،אא א א א ،pH = 3-5 א ، א pH = א،א،(M.O.)
א ، pH = 7 א א K 8-10
KM.O.ph .ph. - 116 -
אא
110
א
אא
א א
WAcid – base ( alkali) titrationEאאFאא
FאEF
Ktitration א א א א E
conical flask،אא،א Purette Pipette
Conical flask KאאWE7-2F
אא،אאא
א א א KE7-2F ،M.O. ph. ph. א
Kאאא،E50Fburetteא
Kא א א pipette א א K א א א אא
K א א א א א KE7-3F אאא
F א א (strong acid vs strong base) .1 Kא M.O. ph. ph.EE.P. א
אא (week acid vs strong base) .2 KM.O.ph. Ph.אאאph. ph.
אא (strong acid vs week base) .3 KM.O. אאא،ph.ph.M.O. - 117 -
אא
110
א
אא
א א
pHK(week acid vs week base) .4
3 2 אא א א .אאאא
KאאWE7-3F
- 118 -
אא
110
א
א
אא
א
א
א0.5 cm2אא א.1
K700 ،2.5 cm
K0.037 S cm-1אאא،0.1M KClאא א.2 אאא א.3
Kb = 10-5،0. 1NH4OH J10-3M HCl J
0.01M H2SO4 J Ka = 10-5 ،0.1CH3COOH–
،0.5M CH3COONa 0.1M CH3COOH א א א.4 KKa = 10-5
3×10-2g/Lא،Ag2CrO4אא א.5
10-5אka،0.1Mא א.6 ka0.1Mאאא א.7 K10-5א
Kb،0.02M NH4OH0.1NH4Clאא א.8
K10-5אא
- 119 -
אא
110
א
אא
א א
אאא
ρאאκ (Scm-1)א א J1
κ =1/ρ = ℓ /R A K(cm2)אAEcmFאℓ EΩ)א R κ = 2.5/700×0.5 = 7.14 mS cm-1
א א א J2
= κ × 1000 /C (Scm-1)אκ(g- equi L-1)אC
= 0.037 × 10000/ 1000= 0.37 cm2 S equi-1
Wא א J3 HCl J
pH = -log [ H+] = -log [a cid] = -log [0.001] = 3 Kb = 2CNH4OH J
אKbאCא
= ( Kb / c)1/2 = ( 10-5 /0.1)1/2 = 0.01 [OH-] = C א [OH-] =0.01 × 0.1 =0.001 Kw =[OH-] [ H+] WKwא
[ H+] = Kw / [OH-] = 10-14/ 10-3 =10-11 pH = -log 10-11 =11
= (Ka /c)1/2 = (10-5 / 10-1)1/2 [ H+] = C = 0.01 × 0.1 =0.001 pH = -log [ H+] = -log [ 10-3] = 3
Ka = 2CאE
WאאE pH = -log [ H+] = -log [0.01 ×2] = 1.69
א J4
pH = pka - log [Acid] / [Salt] pH = 5 - log ( 0.1 /0.5) = 4.3
Ag2CrO4(s) → 2Ag+(aq) + CrO42-(aq) Ks = (2S)2 S = 4S3 - 120 -
אא J5
אא
110
א
א
אא
א
KאSאאKs
-2 3
Ks = 4 × ( 3 × 10 ) = 108 ×10-6
אאא J6
Kh = 2 C /1-
אאאאא kh א
<< 1، Kh =Kw /KaW
Kh = Kw/Ka = 2C =( Kw / Ka C )1/2 =( 10-14/(10-5 × 0.1)) 1/2 = 10-4
אאאאא J7
pH = -log [ H+] = -log (Kw Ka / Csalt)1/2 = -log (10-14 × 10-5/ 0.1)1/2 = 9.0
אאאא J8
pH = pKw – pKb + log [Base]/[Salt] =14 -5 +log ( 0.02 /0.1) = 8.3
- 121 -
אא
110
א
אא
א
E1Fא
30nmאא J1
En=2Fאאאאאא J2
Wאאאאאאא J3 O
EClEMgENeE
F , C, Li, O, HWאאאא J4
Wאאאאא J5
mℓ =-2 , n=4 Eℓ =2 , n=3E
ms =1/2 , mℓ = 2, ℓ=2 , n=5Ems =-1/2 , ℓ=2 ,n=4 E
N , O , Li , H , FWאאאא J6
Wאאאא J7 3H2 + N2 → 2NH3 K432160386א،H-H, N-N , N-Hאא Wאא J8
CH ≡CHEBF3ECH4ENO2E
Kא،אWאאאאאאא J9
Kאאאאאאאא א J10
K
- 122 -
אא
110
אא
א א
E2Fא
Kאאאאאאא J1
אא700nmאאאאאא J2 Kאאא7.3 ×10-12
N , O, B , Li, CWאאאאא J3
Li+ , H+, K+, Na+Wאאא J4 Kאאאא J5
Li+ , O2- , Be , Ne- Wאאא J6 Wא J7
SO3EI3-ENO3-E
אאאא J8
CCl4אאECH2CH2אE
CH3CH3אECCl4אאE
W J9
אאE
אאE אE
- 123 -
אא
110
אא
א א
E3Fא
6000 m/s א3gאאאא J1
؟0.03 gאאא J2
F ,Be ,N ,C Wאאאאא J3
F- , O2- , Mg2+, Na+
Wאאא J4
Wאאאאאא J5 ClEBEMgENE
CH3CH3א،C-Hאאא J6
103.3, 83, 20.24 kcal mol - ،א،H-HאאC-Cאא
K1
Wא J7
H3O+ENH+4ESO42-EPOCl3E
Wאאאא J8
CH2 =CH2EH2OאENH3אECH4אE
0EℓFאאאא J9
Wאא J10
mℓאאEnאאE
msאאEℓאאE
- 124 -
אא
110
א
אא
א
אא
= c/Wאא J1 .אאאc
3×108/ 320× 10-9 = 9.4×1014 Hz
n2=4אא،n1=2 J2
אאא
1/ W = 1 / 109667.6 (1/4 -1/16) = 4.86 × 10-5 cm :אאא J3 Ne
1S2 2S2 2P6
Mg 1S2 2S2 2P6 3S2 Cl 1S2 2S2 2P6 3S2 3P5
א
א
א
א
O 1S2 2S2 2P4
Li > C > O > F > H:אאאא J4
،אאא J5 Zא J
Zא J
Zא J אZא J
F > O > N > H > LiWאאאא J6
אאHאא J7 H = -3(N-H) +1/2 (N≡ N) +3/2(H-H) = -3 ×386 +1/2 × 160 + 3/2 × 432 = 430 kJ/mol
: J8 O-N=O
F
H
F B F
H C H
H-C
C-H
H
א،א:אא א J9
Wאאאא - 125 -
J10
אא
110
אא
א א
K J
א א א א אא א א J
0א
Kאאאא J CH4אW
:
J1
H אאאאאWאאא
J2
4sp3אאאאא
J3
H H C
H
א
- 126 -
אא
110
אא
א א
אא
n=3אאאאא J1
0,1,2א،ℓ=3
mℓ =2ℓ +1= 0 + 1 = 1Wאא
mℓ = 2ℓ +1 = 2 × 1 + 1 = 3אא mℓ = 2×2+1 = 5אא
mℓ =1+3+5=9:אאא
E = nh : אא א J2
אn،א،h،אE
n= E/hc = 7.3×10-12 ×700 ×10-9 / 6.625 ×10-34 ×8 ×108 = 9.64×106 photons N > O > C > B > LiWאאא J3
K+ > Na+ > Li+ > H+Wאא J4
n=2 אאא J5 E = -2.18 × 10-18 (1/ ∞ -1/n22 ) = 2.18 × 10-18 /4 = 0.55 ×10-18 J Wאא J6 Li+ 1S2 O2- 1S2 2S2 2P6 Be 1S2 2S2 Ne- 1S2 2S2 2P6 3S1 W J7 O
N O
O
[I I
I]
O
S
O
O
sp3Esp3Esp3E
- 127 -
אא J8 sp2E
אא
110
אא
א א
אאאאאאאWא J J9 Kא
אאאאאאאWאא J
Kא
KאאWא J
- 128 -
אא
110
אא
א א
אא
FאEvFEmFאEFאא J1 = 6.625 ×10-34
= h / m vWE / 3 × 10-3 × 6000 = 3.68 × 10-35 m אאאא J2
E = m c2 = 0.03 ×10-6 × (3 ×108 )2 = 2.7 × 10-9 J F > N > C > Be:אאא א J3
O2- > F- > Na+ > Mg2+Wאא J4
Wאאאאא J5 N3- , N5+ N 1S2 2S2 2P3 Mg 1S2 2S2 2P6 3S2 Mg2+ B = 1S2 2S2 2P1 B3+ ClCl 1S2 2S2 2P6 3S2 3P5 CH3CH3אאC-Hאא J6 :Hאא
2C +3H2 → CH3CH3 H = -6 (C-H ) – (C-C) + 3(H-H) Wאא،אאא (C-H) = (-20.24 J83 H 3 × 103.3)/6 = H 34.3 kcal mol-1
W J7
Wאאא J8
WאאWא WאWא J
W،ℓ = 4אאאא J9 mℓ = 2ℓ + 1 = 2 × 4 + 1= 9 - 129 -
אא
110
אא
א א
:א J10
אאאא:(n)אא J
אא W(ℓ)אא J
אאאאאאאW:(mℓ)אא J
א،אאאא:(ms)אא J
- 130 -
א
110
אא
א א
אאא
א c 2.998 10 8 m/s
א
m/s2
אאEF
c/mol
א
g 9.806 F 96485
אא
R 8 . 314 J / K . mol R 1 . 987 cal / K . mol R 0 . 082 l . atm / K . mol
אא
k 1.38 10 23 J / K
Boltzman
N 6.022 10 23 mol 1
Avogadro א
e 1.602 10 19 C
EאFא
10
esu
34
J .s
Planck
u 1.66 10 27 kg
אא
e 4.803 10
h 6.626 10
me 9.109 10 31 kg
א
m p 1.673 10 27 kg
א
m n 1.675 10 27 kg
א
e =2.71828182846
e EאאFא
3 .1415926535 9
πאאא
- 131 -
א
110
אא
א א
1K=1ºC+273.16 1 atm = 760 mm Hg = 760 Torr = 101.325 kPa 1 bar = 105 Pa 1 l =103 cm3 = 1000 ml 1 N = 105 dyne 1 J = 107 erg 1 cal = 4.184 J 1 year = 365.25 days(d) 1 day = 24 hours (h) 1 hour = 60 minutes (min) 1 minute = 60 second(s) 1 C = 3 109 esu
- 132 -
אא א א א א א
אא
א
110
א
אא
א
אא א m Kg S N J w mol cd A Pa Cm g s Dyne Erg V Ω C L atm K
א
meter
א SIאא
א
kilogramא
א
Newton
א
second
א
Joule
א
א
Wattא
א
Candle
א
Pascal
א
Ampere
Centimeter
א
cgsאא
א
gramא
א
dyneא
א
second ergא
Volt
א
א
א
אא
Ohm
אא
Litre
א
Coloumb atmosphere
Kelvin - 133 -
אא
א
אא
א
110
אא
א א
אאאא
Kאאאאא א
אא
10-15
f
10-12
p
10
-9
n
10
-6
μ
10-3
m
10-2
c
10-1
d
femto
pico nano
micro milli
centi deci
10
3
k
10
6
M
109
J
1012
T
אא
kilo
mega
giga
tetraא
Wא
1 m = 10 dm = 100 cm =106 μm
- 134 -
א
110
אא
א א
א
אא
אא
β
Α B
γ
Γ
δ
Δ
η
Η
σ
Σ
π
Π
φ
Φ
ψ
Ψ
ω
Ω
θ
Θ
α
R κ
Κ
ε
Ε
μ
Μ
υ
Ν
λ
Λ
τ
א א
א
א
א
א
χ
- 135 -
א
110
אא
א א
אאא EN
EA kJ mol-1
IE kJ mol-1
r Å
2.2
-72
1312
0.37
-
21
2373
0.5
4.003
2
He
1.0
-58
520
1.52
6.939
3
Li
1.6
250
899
1.11
9.012
4
Be
2.0
-23
801
0.88
10.811
5
B
2.6
-122
1086
0.77
12.011
6
C
3.0
-503
1402
0.70
14.007
7
N
3.4
-141
1314
0.66
15.999
8
O
4.0
-333
1681
0.64
18.998
9
F
-
29
2080
0.70
20.183
10
Ne
0.9
-53
496
1.86
22.99
11
Na
1.3
230
738
1.60
24.31
12
Mg
1.6
-44
578
1.43
26.98
13
Al
1.9
-135
786
1.17
28.09
14
Si
2.2
-74
1012
1.10
30.97
15
P
2.6
-200
1000
1.09
32.06
16
S
3.2
-348
1251
0.99
35.45
17
U
-
34
1527
0.94
39.95
18
Ar
0.8
-48
419
2.31
39.10
19
K
1.0
154
590
1.97
40.08
20
Ca
1.6
-64
653
1.28
52.00
24
Cr
1.5
<0
717
1.27
54.94
25
Mn
א
א
1.008
- 136 -
א
א 1
א
א
H
א
א
110
אא
א א
1.8
-24
759
1.26
55.85
26
Fe
1.9
-67
758
1.25
58.93
27
Co
1.9
-111
737
1.24
58.71
28
Ni
1.9
-118
745
1.28
63.54
29
Cu
1.6
~0
906
1.34
65.37
30
Zn
2.2
-77
947
1.21
74.92
33
As
3.0
-324
1140
1.14
79.91
35
Br
-
39
1356
1.09
83.80
36
Kr
0.9
120
549
2.15
87.62
38
1.9
-126
731
1.44
107.87
47
Sr אא
Ag
1.7
<0
868
1.49
112.40
48
Cd
2.0
-121
709
1.40
118.69
50
Sn
2.1
-101
869
1.41
121.75
51
Sb
2.7
-295
1008
1.33
126.90
53
I
-
40
1176
1.30
131.30
54
Xe
0.9
52
503
2.17
137.34
56
Ba
1.7
-58
770
1.39
183.85
74
W
2.2
-205
870
1.38
195.09
78
Pt
2.0
-223
890
1.44
169.97
79
Au
1.9
<0
1007
1.51
200.59
80
Hg
2.3
-101
716
1.75
207.19
82
Pb
2.0
-100
703
1.46
208.98
83
Bi
א
rZא{ENZא{אEAZא{אIEZא
- 137 -
א
110
א
אא
א
25אאא א
א
Ka k1 4.3 10 7 , k 2 5.6 10 11
H2CO3 HCN
4.8 1010 1.8 10 5
CH3COOH
1.8 10 4
HCOOH
6.3 10 5
C6H5COOH H3BO3
7.2 10 10 107
HCl
10 9
HBr
1011
HI
k1 5.6 10 2 , k 2 5.1 10 5 k1 6.9 10 3 , k 2 6.2 10 8 , k 3 4.8 10
(COOH)2 H3PO4
13
5.9 10 9
H3BO3 H2S
k1 8.9 10 8 , k 2 1.2 1013
Kb 1.7 10 5 4.1 10 10 5 10 4 1.7 10 9
NH4OH C6H5NH2 CH3NH2 C5H5N
- 138 -
א
א
EאFא
EאFא
א
א
א א
אא
א א א
א א
א א
אא
א
110
א
אא
א
25אאא Ksא
3.7 10 15
Al(OH)3
5.5× 10-6
Ca(OH)2
1.2 10 11
Mg(OH)2
5× 10-3
Ba(OH)2
2.2× 10-20
Cu(OH)2
1.0 10 10
AgCl
1.5 10 16
AgI
7.7 10 13
AgBr
9.0 10 12
Ag2CrO4
8.5 10 45
CuS
10
-47
Hg2S
7 10 29
PbS
10-97
Bi2S3
6.3× 10-50
Ag2S
1.1 10 10
BaSO4
9.1× 10
-6
CaSO4
2.8× 10
-6
CaCO3
5.1×10-6
BaCO3
2 10 10
ZnCO3
א
א א א
א
א
א א
א
א
א א
א
א
א
א
א
א
א
א
- 139 -
א
110
אא
א א
EאFאא א
א
א
EFא
ph.phא
EF
M.Oאא
EF
אא
Lithmusא
א
א
אא
אאא
אא
א
א
אא
אאא
א
אאא
אאא
Fluorescein א
אא
אEDTA
Murexide א
אא
EDTA
EBT
אא
EDTA
א
EF
EF EF
א
א
א
אא
Mohr
Fajan
EDTA PVC א
- 140 -
א
110
א
אא
א
K25אא λ∞אא
א
349.8
H
38.69
Li+
50.11
Na+
73.52
K+
73.4
א
+
א
א
א
א
+
NH4
א
+ Ba 2
א
Pb+
א
+ Zn 2
א
59.5
1
63.6
1
71.0
1
52.8
1
198.0
OH־
75.23
Cl־
78.1
Br־
76.80
I־
40.9
CH3COO־
79.8
1
69.3
1
- 141 -
א
+
2
2
2 2
Ca
א א
א א
א
SO42־
א
CO32־
א
א
110
אא
Ho
C6H6א
-57.08
-98.35 -270.53 -217.92 -288.73 -51.20 -30.38 -23.80 -14.93 -23.52
-26.42
CH4א
-94.05
CCl4אא
54.19
-66.41 -68.32
א
25EHo /kcal mol-1F אא o אH
11.72
-33.25
א
C2H3א
-17.89
H2Oא
-20.24
NaCO3אא
19.82
NaClאא
-24.82
SiO2אא
-48.08
CuCO3
אא
COא CO2א CH4א
C2H2א
CH3CH3א C3H8א
C6H6א
CH3OHא
אא -56.63
C2H5OHא
AgClאא
-11.04
NH3א
AgIאא
-8.66
PbOאא
-57.80
AgBrאא
-22.06
PbSאא
6.2 -70.96 -94.45 12.50
-116
H2Oא
HClא HBrא
HIא
SO2א
SO3א C2H4א
HCOH
KאF2,Br2,Cl2,O2,N2,H2 אא J
אאאאאאאאאא J
Kא
- 142 -
א
110
אא
א א
KEFאאא
א
אא
א
אא
323 305 358 259 485 339 276 240 272 200 243 799 1072 607 887 941
H─Si C─N C─O C─S C─F C─Cl C─Br C─I N─F N─Cl N─Br C═O C≡O N═O C≡N N≡N
432 146 160 154 239 193 347 614 839 418 495 413 427 467 391 363 347
HــــH OــــO NــــN F─F Cl ـــCl BrــــBr CــــC C═C C≡C N═N O═O H─C H─Cl H─O H─N H─Br H─S
- 143 -
א
110
אא
א א
Wאא
{אא EpowerFEbaseF
Wא
Klogאאא10 אK1
Klnאאאe = 2.71828 אK2
K34.67אאאאW1
log 34.67= 1.5399 ln 34.67 = 3.546
א א א –1.67 א א א W 2
K3.76
Anti log (3.76) = 5754.3993 Anti ln (-1.76) = 0.1720
אא
log A + log B ≠ log (A+B)
א G G
log A J log B ≠ log (A JB)
א
Log A + log B = log (AB)
G
Log A - log B = log (A/B)
G
B
B log A = log (A ) 1 A
- log A = log ( ) log 10 =1 ; ln e = 1 log 0 = ln 0 = -∞ log 1 = ln 1 = 0 ln A = 2.303 log A
א
א
א G
G
א
א
KאloglnG
Wאאא
Wאאאאא - 144 -
א
110
א
אא
א
ax2+ bx+ c = 0
Wאxאאc,b,a
x (b b 2 4ac ) 2a
Kאxאא
WאאאxאW x 2 2x 4 WאאאWא
ax2 + bx + c = 0
2
x + 2x - 4 = 0
Wאx
x (b b 2 4ac ) 2a (2 4 4 1 4 ) 2 1
x = -3.236 أوx = 1.236
Wא
KאאאאScientific notationאאא
אאאאאאW א
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Scientific Idioms A.C .
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Ability
Abscissa
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Absolute
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Absorbance
EFא
Absorption
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Abstract
Acceptor
Activation
Activity
Adapter Adduct Adherent
EאאאF
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Adhesive
Adiabatic
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Admittance
אא
Adsorbate
אאא
Adsorbent
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Adsorption
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Aeration
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Affinity
א J
Against
Aliphatic
Alkali
Alkaline
- 148 -
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Alkaloid
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א
Alkylation
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Alternatively
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Amplifier
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Analogue
EF
Analysis
Analyst
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Analyze
Analyzer
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Angle
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Angular
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Anion
EאF
Anode
Apparatus
Appendix, Appendices
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Approach
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Approximate ,-ly
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Aprotic
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Aqueous
Arc
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Arctan Aromatic
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Association
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Assumption
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Asymmetric
Athermal
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Atmosphere
- 149 -
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Atom ¸ atomic
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Atomize , atomizer
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Attraction
Auxiliary
Average
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Axial
Axis ¸ axes Balance
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B
Barometer
J א
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Base , basic
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Basis
Beaker
Beam
Bend
Binary
Boiling
Bond
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Boundary
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Buffer
Burette
- 150 -
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Ca
C
Calculation
א א
א
Calculator
Calorie
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Capacitance
،
Capacity
Capillary
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Cartesian
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Catabolism
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Catalysis
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Catalyst
Cathode
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Cation
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Cavity
Cell – cellular
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Cement
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Centrifuge
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Certain
J
Characteristic
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Circuit
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Circumference
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Co – axial
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Coagulation
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Coherent
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Coincident
- 151 -
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Concave
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Concept
Conclusion
Configuration
–
Consist of
Constant
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Constituent
Container
Convection
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Converge
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Convex
Coordinates
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Correction
Corrosion
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Counter Daily
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D
Degree
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Dehydration
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Dehydrogenation
א
Derivation
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Deviation
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Determination
Dissolution
Division
Divisor
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Ductile
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Dye
- 152 -
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Dynamics
א א
א
Dynamo
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Definition
Details
Deliquescent
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Decimal
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Diameter
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Distance
Distribution
Displacement
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Differentiation
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Divide by
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Dissociation
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Disintegration
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Dialysis
Distillation
Diagram
Distractive
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Distortion
Discussion
- 153 -
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Donor
Double
Doctrine
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Document
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Dozen
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Dot – dotted
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Device
Discrete
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Disc – disk
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Effervescence
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Efficiency
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Electrode
Electricity
Electrolyte
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Elevation
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Electrolysis
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Emulsion
Emulsifier Entropy
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Deduce
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Elasticity
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Eutectic
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Even
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Erratum – errata
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Excess
Exceed
Exothermic
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External
Extract
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Extra
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Equation
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Equilibrium
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Equilibria
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Extensive
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energy – energetic
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Equation
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Essay
Essential test
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Evaporation
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Exact
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Factorial
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Faraday
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Force
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Freedom
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Fugacity
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Galvanostatic
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Geometry
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- 156 -
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Gravity
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Height
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Hexagonal
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Homogeneous
Homologous
Humidity
Hump
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Hybrid
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Hydrophilic
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Group Halogenation
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Infra red
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Integer, integral
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Isobares
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Isotopes
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Isoelectric point
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Meniscus
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N
Nano
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Normal – ity
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Nucleation
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N. B.
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O
Odd number
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Organic
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Original
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P
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Permutations
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Phase
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Phenomenon, phenomena
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- 162 -
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Practical
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Precise – precision
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Predominate
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Pressure
Principle
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Printed matter
Prior
Prism
Probability
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- 163 -
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Pyrolysis
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Quadratic equation
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Quantitative
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Quotient R.H.S.
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Quadrant
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Racemic mixture
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- 164 -
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Reactance
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Reference
Reflection
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Refractive index
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Regular
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Repulsion
Resistance
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Reversible
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Role
Root
Rule Saccharides
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110
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Similar – ity
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Sonics
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Source
Species
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Spectrograph
Spectroscopy
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Stability
- 166 -
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Standardization
Statics
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Statistics
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Stimulus – stimuli
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Stock solution
Structure
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Subscript
Subset
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Substance
Summary
Substituent
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Sum Jsummation Supper
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Survey
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T
Temporary
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Tension
- 167 -
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110
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Tertiary
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Thermodynamics
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Transition ¸ - al
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Translation
Triangle
Triple , triply
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Ultra
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Uncertainty principle
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Union Vacuum
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Therm, - al
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Valence
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Viscosity
- 168 -
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volume, volumetric
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- 169 -
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אא Wאאא אאאאאאאא J1 K1996،א،אא،אא،אא
K1982،א،א،אא، J2
א ،א א ،א א א א J3
K1998،א،א
،א אא Jא،א א،א J4 K1993،א
Wאאא
1- Ralph H. Petruccii and William S. Harwood, General Chemistry, Principle and Modern Applications, Prentice-Hall, New Gersey, 1997. 2- James E. Brady and John R. Holum, Chemistry, The study of Matter and its Changes, Wiley, New York, 1993. 3- Petter Atkins and Loretta Jones, Chemistry, Matter and Change, 3rd Edition, W.H. Freedman and Co., New York, 1997. 4- James E. Brady, General Chemistry, Principles and Structure, 5th Edition, Wiley, New York, 1990. 5- David E. Goldberg, Schaum’s Outline Series, Theory and Problems of Chemistry Foundations, International Editions, McGraw-Hill, New York, 1991. 6- James E. Brady and John R. Holum, Fundamentals of Chemistry, 3rd Edition, Wiley, New York, 1988. 7- Raymond Chang, Chemistry, 5th Edition, International Edition, McGraw-Hill, New York, 1994. 8- R. Abu-Etta, Y. Essa and A. El-Ansary, General Chemistry, Cairo University Press, 1998. 8- P.W. Atkins, Physical Chemistry, Oxford Press, Oxford, UK, 1982. 9- G.M. Barrow, Physical Chemistry, MacGraw-Hill, New York, USA, 1996. 10- Maurice Wahba, Hanna A. Rizk, Introduction to Physical Chemistry, AngloEgyptian, 1978. 11- Robert A. Alberty and Robert J. Silby, Physical Chemistry, Wiley, New York, 1992.
- 170 -
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