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Atkins & de Paula: Atkins’ Physical Chemistry 10e
Solutions to odd-numbered problems
Chapter 1
Topic 1A
P1A.1 –233°N
P1A.3 -272.95oC
P1A.5 (a) 0.0245 kPa (b) 9.14 kPa (c) 0.0245 kPa
P1A.7 2.8 x 108 dm3 = 2.8 x 105 m3, 4.1 x 108 dm3 = 4.1 x 105 m3
P1A.9 (a) 1.7 x 10-5 (b) 0.72
P1A.13 51 km, 0.0029 atm
Topic 1B
P1B.3 1 22RT
M
P1B.5 x initial0.47 v
P1B.7 22 3(1 )/2e nn − , 5.53 x 10-5, 2.71 x 10-9
P1B.9 (a) 11.2 km s-1 (b) 5.04 km s-1
Topic 1C
P1C.1 (a) 3 112.5 dm mol− (b) 3 112.3 dm mol−
P1C.3 (a) 3 10.941dm mol− (b) 3 -12.69 dm mol , 3 12.67 dm mol− (c) 3 15 11dm mol−. , inversion temperature
P1C.5 (a) 3 10.1353dm mol− (b) 0.6957 (c) 0.7158
P1C.7 3 159 4cm mol−. , 6 25 649dm atm mol−. , 21 atm
P1C.9 aB bRT
= − , 2C b= , 34.6 cm3 mol–1, 6 21 26dm atm mol−.
P1C.11 3CB
, 2
3BRC ,
3
227BC
, 13
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P1C.13 10 0866atm−. , 3 12 12dm mol−.
P1C.17 0.011
P1C.21 1/21 ( / )
1 /
b bRT a
bRT a
±
−
Chapter 2
Topic 2A
P2A.1 22
1 2 1
1 1 lnV nbnRT n aV nb V V
−− − − −
(a) 1 7 kJ− . (b) 1 8kJ− . (c) 1.5 kJ−
P2A.3 (a) 1.5kJ− (b) 1.6kJ−
P2A.5 21F f2 k x
Topic 2B
P2B.1 162.2 kJ mol−
P2B.3 w = 0, 2.35 kJU∆ = + , 3.03 kJ+
Topic 2C
P2C.1 11270 kJ mol−−
P2C.3 67.44− , 0.9253n = , -16625.5 kJ mol− , 2.17 per cent
P2C.5 1994.30 kJ mol−−
P2C.7 1802.31 kJ mol−−
P2C.9 37 K+ , 4.09 kg
Topic 2D
P2D.1 1 6m. , 0 80m. , 2 8m.
P2D.3 nR
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P2D.5 2= ( ) ( )p naT V nb V nbnR RV
× − + × −
, V
T V nbp nR
∂ −= ∂
P2D.7 ( )1 2
spc γ
ρ/
= , -1322 m s
P2D.11 (a) 123.5 K MPa− (b) -114.0 K MPa
Topic 2E
P2E.1 1 141 40J K mol− −.
Chapter 3
Topic 3A
P3A.5 1.00 kJ, 8.4 kJ
P3A.7 1 110 7 J K mol− −.
P3A.9 Path (a) 2.74kJ− , 0 , 2.74kJ+ , 1+9.13 J K− , 0 , 19.13 J K−−
Path (b) 1.66 kJ− , 0 , +1.66kJ , 1+9.13 J K− , 15.53 J K −− , 1+3.60J K−
P3A.11 f fm ,m
h cln lnp p
T TnC nCT T, + , 122.6 J K−+
P3A.13 1 1477 J K mol− −
Topic 3B
P3B.1 (a) 1 1200.7 J K mol− − (b) 1 1232.0 J K mol− −
P3B.3 141.16 kJ mol−+ , 1 142.08 J K mol− −+ , 140.84 kJ mol−+ , -1 -141.08 J K mol+
P3B.5 -134.4 kJ mol , 1 1243 J K mol− −
Topic 3C
P3C.1 (a) 150.7 J K− , 111.5J K−− (b) +3.46 kJ , indeterminate (c) 33.46 10 J× ,
indeterminate (d) 139.2 J K−+ , 139.2 J K−−
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P3C.3 (a) 1 135 J K mol− −+ (b) 312 W m− , 4 31.5 10 W m−× (c) mol ATP0.46mol glutamine
Topic 3D
P3D.1 1501 kJ mol−−
P3D.3 121kJ mol−−
P3D.5 ( )p S
V TS p
∂ ∂= ∂ ∂ , ( )
T V
pSV T
∂ ∂ = ∂ ∂
P3D.7 d dpC T TV pα− , TV pα− ∆ , 0.50kJ−
Chapter 4
Topic 4B
P4B.1 196 0K. , 11 1Torr.
P4B.3 (a) 3 15 56 10 Pa K−+ . × (b) 2.6 per cent
P4B.5 (a) 3 11.63 cm mol−− (b) 3 130.1 dm mol−+ (c) 2 16 10 J mol−+ ×
P4B.7 22°C
P4B.9 (a) 227.5°C (b) +53 kJ mol–1
P4B.13 9 8Torr.
P4B.15 363 K
P4B.17 2 1
2 1
dd T T
pT
α ακ κ, ,
−=
−, m2 m1
m 2 1
dd ( )
p pC CpT TV α α
, ,−=
−
Chapter 5
Topic 5A
P5A.1 3/218.079 0.11482x−
P5A.3 15 58kPa. , 47 03kPa.
P5A.5 4.6 cm3
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
Topic 5B
P5B.3 109.0 cm3 mol–1, 279.3 cm3 mol–1
P5B.5 165 K, 0.99978, 19.89 g solute (100 g solvent)–1, –∆fusH/R
P5B.7 (a) (i) 2 (ii) 3 (b) (ii) 0.19, 0.82, 0.24 (c) xPb = 0.19, xCu = 0.18
P5B.9 fus2
HRT
∆ , fusA
1 1lnH
xR T T ∗
−∆ = × −
P5B.11 151.26 10 g mol−× , 4 3 1 1.23 10 dm mol−×
P5B.13 xA = xB = 0.5
P5B.15 4 3 14.78 10 dm mol−×
Topic 5C
P5C.1 (b) 391.0 K (c) 0 532.
P5C.7 (b) Ca2Si and a Ca-rich liquid (xSi = 0.13), 0.5 (c) 0.53 , 0.67
P5C.9 * *
A A B* *A B A
/1 ( / 1)
x p pp p x+ −
Topic 5E
P5E.3 [B]RTΠ φ=
Chapter 6
Topic 6A
P6A.1 (a) 1+4.48 kJ mol− (b) 0 101 atm.
P6A.3 20 007 mol H. , 20.107 mol I , 0 786 mol HI.
P6A.5 1 2
O11
1 ap pξ
/
= − + /
Topic 6B
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P6B.1 (a) 91.24 × 10− (b) 81.29 10−× (c) 41.8 10−×
P6B.3 1300. kJ mol−
P6B.5 0.740 , 5.71, 1103 kJ mol−−
P6B.7 (a) 81.2 × 10 (b) 32.7 × 10
P6B.9 ( ) ( )O
r
ref
1 1ref
ref eHvR T T
c cT
K T K TT
∆∆ × − = ×
Topic 6C
P6C.1 (a) 1.23V+ (b) 1.09 V+
P6C.3 1+14.7 kJ mol− , 1+18.8 kJ mol−
Topic 6D
P6D.1 0.26843 V+
Chapter 7
Topic 7A
P7A.1 (a) 33 3 1.6 10 J m− −× (b) 4 3 2.5 10 J m− −×
P7A.3 15max /T hc kλ ≅
P7A.5 255 K or 18 C° , 11 μm , 4
c E
P7A.7 (a) 8πhc , hc (b) 4Wien
4 Tc
σ
P7A.9 (a) 2231 K , θE = 0 0315. (b) 343 K , θE = 0 897.
Topic 7B
P7B.1 (a) 1/22 = N
L
(b) 1/2
1(2L)
Nc
= (c) 3 1 2
1(π )
Na /= (d) 5 1 2
1(32π )
Na /=
P7B.3 0.0183
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P7B.5 (a) 69.0 10−× (b) 61.2 10−×
P7B.7 xmax = a
Topic 7C
P7C.1 (a) 2 2 2
2e 0
d 2 4πd
e Em xx
ψ ψε
− − =
(b) 2 2
2
d 2 d
Em x
ψ ψ
− =
(c) 2 2
2
d 2 d
cx Em x
ψ ψ
− − =
P7C.3 (a) Yes (b) Yes (c) No (d) No
P7C.5 (a) Yes, 2k− (b) Yes (c) Yes (d) No
(i) (a) and (b) (ii) (c)
P7C.7 (a) k+ (b) 0 (c) 0
P7C.9 1a
P7C.11 (a) (i) ( )1
230πN a
−= (ii) ( )
125
032πN a−
= (c) (i) 01.5a , 204.5a (ii) 05a ,
2030a
P7C.15 [ ]ˆ ˆ, ixx p =
Chapter 8
Topic 8A
P8A.1 391.24 10 J−× , 92.2 10× , 301.8 10 J−×
P8A.3 (a) 2L , 1 23
L/
(b) 2L ,
1 22
21
3 4( )L
n Lπ
/
− /
P8A.5 61.2 10×
P8A.7 (a)
2 22 * 1 2
3 3 3 2 2 2 22
2 2 2 2 2 2 2 2 21 2 2 3 2 1 3
4( )sinh ( )
where ( )( ) and ( )
k kT A A Aa b k L b
a b k k k k b k k k
=| | = × =+ +
+ = + + = +
Topic 8B
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P8B.1 HI < HBr < HCl < NO < CO
P8B.5 1 12 2
v ω +
Topic 8C
P8C.1 (a) ±5.275×10–34 J s, 197.89 10 J−× (b) 145.2 10 Hz×
P8C.3 (a) + (b) 2− (c) 0 (d) cos 2χ
(a) 2
2I (b)
22I (c)
2
2I (d)
2
2I
P8C.5 0, 2.62, 7.86, 15.72
P8C.7 1
P8C.9 i
y zz y
∂ ∂− ∂ ∂
, i
z xx z
∂ ∂ − ∂ ∂
, i
x yy x
∂ ∂− ∂ ∂
, .i
zl−
Chapter 9
Topic 9A
P9A.1 106pm±
P9A.3 (b) node node3 3 and 3 3ρ ρ= + = − , node node0 and 4ρ ρ= = , node 0ρ = (c)
03s
272a
r⟨ ⟩ =
P9A.7 (a) 0
Za
(b) 04
Za
(c) 04
Za
(d) 0
Za
P9A.11 cm−160957.4 , cm−160954.7 , cm−1329170 , cm−1329155
Topic 9B
P9B.1 0 420pm.
Topic 9C
P9C.1 2 6n →
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P9C.3
12Li
987663cmR −+ = , 1137175cm− , 1185187cm− , 122.5 eV
P9C.5 2 21 2 3 2P and P/ / , 2 2
3 2 5 2D and D/ / , 23 2D /
P9C.7 273.3429 10 kg−× , 1.000272
P9C.9 (a) 10.9 cm− (b) small
P9C.11 (a) 2kT (b) 123.8 T m−
Chapter 10
Topic 10A
P10A.1 3/2 /2
1/21/2 3/2 1/2
e 2 sin ( cos 3 sin )2(24 ) 8
Za
ρ ρ ρ θ φ φπ
− − + × − +
, 120°
Topic 10B
P10B.1 1.87×106 J mol–1 = 1.87 MJ mol–1
P10B.3 0H1s 1
jj kES R
+− +
+, 0
H1s 1jj kE
S R−
− +−
P10B.5 (b) 2.5a0 = 1.3×10–10 m, –0.555j0/a0 = –15.1 eV, –0.565j0/a0 = –15.4 eV, 0.055j0/a0 = 1.5 eV, 0.065j0/a0 = 1.8 eV
Topic 10C
P10C.1 2.1a0
P10C.3 (c) π/4 or 3π/4
Topic 10D
P10D.1 1/2
A B A B A B2 2 2
A B
2 4( )( )1
2(1 ) 2(1 ) ( )S S S
S Sα α β α α β α β α
α α + − − + +
± + − − − , A A B
2 2A B
( )( )1 ( )(1 )
S S SS S
α β β α β αα α
− + ++
− − −,
B A B2 2
A B
( )( )1 ( )(1 )
S S SS S
α β β α β αα α
− + +−
− − −
P10D.3 (i) E/eV = –10.7, –8.7, and –6.6 (ii) E/eV = –10.8, –8.9, and –6.9
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
Topic 10E
P10E.1 E = αO, 2
O C O C 2O C
1 12( ) 12 ( )
βα α α αα α
+ ± − + −
,
2 2
O C 2 2O C O C
12 4( ) 1 1( ) ( )
β βα αα α α α
− + − + − −
, 2
O C
4βα α−
P10E.7 Standard potential increases as the LUMO decreases
P10E.13 (b) 26780 cm-1
Chapter 11
Topic 11A
P11A.1 (a) 3dD (b) 3dD , 2vC (c) 2hD (d) 3D (e) 4dD
P11A.3 S4 , C2 , S4
Topic 11B
P11B.1 -CHCl=CHCltrans
P11B.3 Γ = 3A1 + B1 + 2B2
P11B.7 +1 or 1− , 1+ , 1−
P11B.9 (a) 1 2 1 22A A 2B 2B+ + + (b) A1 + 3E (c) 1 1 2A T T+ + (d)
2u 1u 2uA T T+ +
Topic 11C
P11C.1 1 2A T+ , s and p, (d ,d ,d )xy yz zx
Chapter 12
Topic 12A
P12A.1 34.4 10×
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P12A.3 [ ] ( )/0
J 1 e LA λε −′= − , A = ε'[J]0
P12A.7 1/2
max 1/21 π2 ln 2
vε ∆
, 4 3 1 25.7 10 dm mol cm− −×
P12A.9 (a) receding , 31.128 10 c−× = 5 13.381 10 m s−×
P12A.11 ( )1/222 /kT mc
Topic 12B
P12B.1 2effm R
Topic 12C
P12C.1 596 GHz, 19.9 cm–1, 0.503 mm, 19.941 cm−
P12C.3 128 393pm. , 128 13pm. , slightly different
P12C.5 116.28 pm , 155.97 pm
P12C.7 114.35 m− , 26 , 15
P12C.9
1 2 122
kThcB
−
, 30 ,
1 2 12
kThcB
−
, 6
Topic 12D
P12D.1 2f 2 .k Da=
P12D.3 1142 81cm−. , 3.36 eV , 193 8 N m−.
P12D.7 1
e 22D ν/ −
P12D.9 112.83 pm , 123.52 pm
P12D.11 0B = 10.433 cm-1 , 1B = 10.126 cm-1
P12D.13 2
f
1 ( ½) .x vk
ω= + , rotational constant B decreases, B decreases with increased
anharmonicity
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P12D.15 (a) 2143.26 cm–1 (b) 112.8195kJ mol− (c) 3 11.85563 10 N m−× (d) 11.91cm− (e) 113 pm
Topic 12E
P12E.1 (a) Cannot undergo simple harmonic motion
P12E.3 (a) C3v (b) nine (c) 13A 3E+ (d) all modes are infrared active (e) all modes are Raman active
Chapter 13
Topic 13A
P13A.1 2 2g u is allowed+ +Σ ← Σ
P13A.3 16808.2 cm or 0.84411 eV− , 5.08 eV
Topic 13C
P13C.1 104 10 s or 0.4 ns−×
Chapter 14
Topic 14A
P14A.1 10.3 T , 52.42 10−× , β , ( )12Im = −
Topic 14B
P14B.1 -129 μT m
P14B.3 Both fit the data equally well.
P14B.5 cos φ = B/4C
Topic 14C
P14C.1 6400 10 Hz 8Hz× ± , 0 29s.
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P14C.5 2 20
12 1 ( )
aτω ω τ
+ −
P14C.7 158 pm
P14C.9 0.58 mT
Topic 14D
P14D.1 132.8 10 Hz×
P14D.3 6.9 mT , 2.1mT
Chapter 15
Topic 15A
P15A.1 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0
P15A.7 e Mgh RT− / , 0.363 , 0.57
Topic 15B
P15B.3 (a) (i) 5.00 (ii) 6 26. (b) 1 00. , 0.80, 116.58 10−× , 0 122.
P15B.5 1.209 , 3.004
P15B.7 (a) 1.049 (b) 1.548 , 0.953 , 0.645 , 0.044 , 0.230 , 0.002 , 0.083
P15B.9 (a) 660.6 (b) 44.26 10×
Topic 15C
P15C.3 (a) 104 K (b) 1 a+
Topic 15E
P15E.1 0.351, 0.079, 0.029
P15E.3 1 14.2 J K mol− −
P15E.5 28, 1 1258 J mol K− −
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P15E.7 (a) nRT
, 2
nR −
q qq q
, e lnnRN
+
q qq
(b) 1 15.41 J K mol− −
P15E.11 1 1191 J K mol− −
P15E.17 (a) 87.55K , 6330K (b) and (c) ,m ,m 22 (H) (1 ) (H )V VC Cα α+ − , ( )
( )2
3 ( )H
6O V RH
e iD RTi i
i i i
kT
p q q
Λ
Λ
−
,
1.5R, V
V
2( 2 )V e2.5
1 e
i
i
T
Ti
R RT
θ
θ
θ − + ×
−
P15E.19 15 19.57 10 J K− −×
Topic 15F
P15F.3 100 T
P15F.5 145 76kJ mol−.
Chapter 16
Topic 16A
P16A.1 (a) 0 (b) 0.7 D (c) 0.4 D
P16A.5 1.00 μD
P16A.7 23 31.2 10 cm−× , 0.86 D
P16A.9 24 32.24 10 cm−× , 1.58 D , 3 15.66cm mol−
P16A.11 3 168.8 cm mol− , 4.40 , 2.10 , 3 18.14 cm mol− , 1.76 , 1.33
P16A.13 Increase in the relative permittivity.
Topic 16B
P16B.1 1.9 nm
P16B.3 27 3 11.8 10 J 1 1 10 J mol− − −− × = − . ×
P16B.5 7
6Cr
−
P16B.7 (b) re = 1.3598 r0, 1.8531A =
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
Chapter 17
Topic 17A
P17A.1 (a) 25 a , ( ) ( ) 1/33 1 1
s0.046460 / cm g / g molMυ − −× × , 1.96 nm
(b) 12 a , 1
12 l , 0.35 nm , 46 nm
P17A.3 2Nl
P17A.5 (a) 12 a , / 2a (b) 1
2 a , 112 l (c) 2
5 a
Topic 17B
P17B.1 1
212π
RTl M
, 6.3 GHz
Topic 17D
P17D.1 1/22
πM γ +
P17D.3 (a)
θ / ° 20 45 90
Irod / Icc 0.976 0.876 0.514
(b) 90°
P17D.5 3500 r.p.m.
P17D.7 169 kg mol− , 3.4 nm
P17D.9 130.0716 dm g−
P17D.11 5 11.6 10 g mol−×
Chapter 18
Topic 18A
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P18A.1 153.61 10 g mol−×
P18A.3 ( ) 23 3 / 2V a c=
P18A.5 834pm , 606pm , 870pm
P18A.7 4
P18A.9 2 2 2
2
1 h k la b cd
= + +
P18A.11 Simple (primitive) cubic lattice, a = 344 pm
P18A.13 629pm , gave support
P18A.15 0
P18A.17 (a) o14.0 , o24.2 , o0.72 , o1.23 (b) RCCl = 176 pm and RClCl = 289 pm
Topic 18B
P18B.1 0 340.
P18B.3 37.654 g cm−
P18B.7 (a) 0.41421 (b) 0.73205
Topic 18C
P18C.1 µ , 3 23
λ µ+
P18C.3 0
lim ( ) 1 when T
P E E µ→
= < , 0
lim ( ) 0 when T
f E E µ→
= > , ( ) ( )2/3 2e3 / 8π / 2h mN , 3.1 eV
P18C.5 0.736 eV
P18C.7 6 3 10.127 10 m mol− −× , 6 3 10.254 10 m mol− −× , 6 3 10.423 10 m mol− −× , 0.254 cm3 mol–1
P18C.9 0.41
Chapter 19
Topic 19A
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P19A.1 (a) σ = 0.602 nm2, d = (σ/π)1/2 = 438 pm (b) σ = 0.421 nm2, d = (σ/π)1/2 = 366 pm
P19A.3 17 2 12.37 10 m s−× , 1 1 12.85 J K m s− − −
P19A.5 (a) 14 11.7 10 s−× (b) 16 11.1 10 s−×
Topic 19B
P19B.1 110.2 kJ mol−
P19B.3 2 112.78 mS m mol− , 2 1 3/22.57 mS m (mol dm )− −
P19B.5 2 112.6 mS m mol− , 2 1 3/26.66 mS m (mol dm )− − (a) 2 112.02 mS m mol− (b) 1120 mS m− (c) 172 Ω
P19B.7 0.83 nm
P19B.9 19 3 kJ mol−.
Topic 19C
P19C.1 (a) 112 kN mol− , 20 1 2.0 10 N molecule− −× (b) 116.5 kN mol− , 20 1 2.7 10 N molecule− −×
(c) 124.8 kN mol− , 20 1 4.1 10 N molecule− −×
P19C.7 1/4 1/24 2 1/4 / 3x x =
P19C.9 (a) 0 (b) 0.0156 (c) 0.0537
P19C.11 2½
/22 eπ
n NPN
− =
Chapter 20
Topic 20A
P20A.1 Second order
P20A.3 (a) 1, 2, 3 (b) 2.2 ×109 mol−2 dm6 s−1
Topic 20B
P20B.3 Second-order, 1 13r 0 0594 dm mol mink − −= . , 2.94 g
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Atkins & de Paula: Atkins’ Physical Chemistry 10e
P20B.5 7.0×10–5 s–1, 7.3×10–5 dm3 mol–1 s–1
P20B.7 14 3 16 10 mol dm s− − −× , 84.4 10 s 14 yr× =
P20B.9 First-order, 5.84×10–3 s–1, kr = 2.92×10–3 s–1, first-order, 1.98 min
P20B.11 3.65×10–3 min–1, 190 min , 274 min
P20B.13 7 3 1 12.37 10 dm mol s− −× , kr = 1.18×107 dm3 mol–1 s–1, 34.98 10 s−×
P20B.15 First-order, third-order
P20B.17 0 0
0 0 0 0
(2 )1 ln3 2 (3 )
x A BA B A x B
− − −
P20B.19 ( )
1
143
2 11
n
n
−
−
−
−
Topic 20C
P20C.3 r r( )
0 0 0r 0 r r
r r
([A] [B] ) ( [A] [B] )e k tkk k kk k
− + ′′ ′+ + −′+
, 0 0r
r r
([A] [B] )k
k k′
× + ′+ ,
0 0r
r r
([A] [B] )k
k k
× + ′+ , r
r
[B][A]
kk
∞
∞
=′
P20C.5 (a) (i) 2a a tot a8 [A] ( )k k k′ ′+ (c) 7 11.7 10 s−× , 9 3 1 12.7 10 dm mol s− −× , 21.6 10×
Topic 20D
P20D.3 116.7 kJ mol− , 10 3 1 11.14 10 dm mol s− −×
P20D.5 (a) 16 3 12.1 10 mol dm s− − −× (b) 114.3 10 kg or 430 Tg×
Topic 20E
P20E.1 Steady-state approximation
P20E.3 Steady-state intermediate
P20E.5 3r 1 2 3 2[HCl] [CH CH=CH ]k K K
Topic 20F
© Oxford University Press, 2014.
Atkins & de Paula: Atkins’ Physical Chemistry 10e
P20F.3 ( )1 22r 01 2 [A]k t+
Topic 20G
P20G.1 1.11
P20G.3 (a) 6.7 ns (b) 10.105 ns−
P20G.5 9 3 1 11.98 10 dm mol s− −×
P20G.7 3.5 nm
Topic 20H
P20H.1
[ ]
max
0
Rate law based on rapid pre-equilibrium approximation11SK
νν =
+
P20H.5 2.31 μmol dm−3 s−1, 115 s−1, 115 s−1, 1.11 μmol dm−3, 104 dm3 μmol−1 s−1
Chapter 21
Topic 21A
P21A.1 (a) 20 24.35 10 m−× (b) 0 15.
P21A.3 11 1 3 11.7 10 mol dm s− −× , 3.6ns
P21A.5 14 3 1 13.12 10 dm mol s− −× , 1193 kJ mol− , 11 3 1 17.29 10 dm mol s− −× , 1175 kJ mol−
Topic 21C
P21C.1 Ea = 86.0 kJ mol–1, +83.9 kJ mol–1, 1 119.6 J K mol− −+ , +79.0 kJ mol–1
P21C.5 +60.44 kJ mol–1, +62.9 kJ mol–1, 1 1181 J K mol− −− , +114.7 kJ mol–1
© Oxford University Press, 2014.
Atkins & de Paula: Atkins’ Physical Chemistry 10e
P21C.7 73 10×
P21C.9 Two univalent ions of the same sign
P21C.11 (a) 0.06 (b) 0.89 , 0.83
Topic 21D
P21D.1 0eLI I σ−= N
Topic 21E
P21E.1 kr ≈ (kAAkDDK)1/2
P21E.3 1.15 eV
Topic 21F
P21F.1 0.78, 0.38
P21F.3 (a) 0.618 V−
P21F.5 2.00×10–5 mA m–2, 0.498 , no
Chapter 22
Topic 22A
P22A.1 176.9 kJ mol−− , 1348.1 kJ mol−− , corner is the likely settling point
P22A.3 (a) 15 21.61 × 10 cm− (b) 15 21.14 × 10 cm− (c) 15 21.86 × 10 cm−
Topic 22B
P22B.3 (a) 165, 13.1 cm3 (b) 263, 12.5 cm3
P22B.5 15.78 mol kg− , 17.02 Pa−
P22B.7 120.0 kJ mol−− , 163.5 kJ mol−−
P22B.9 (a) values in the range 0.975 to 0.991 R (b) 33.68 10−× , 18.67 kJ mol−− , 5 12.62 10 ppm− −× , 1
b 15 7 kJ molH −∆ = − .
© Oxford University Press, 2014.
Atkins & de Paula: Atkins’ Physical Chemistry 10e
P22B.11 10.138 mg g− , 0.58
P22B.13 (a) 0.2289k = , 0.6180n = , 0.2289k = , 0.6180n = (c) 0.5227k = , 0.7273n =
Topic 22C
P22C.1 3
2
NHr
H
pkK p
− , 0 0c
0
lnp p p pk
t t p−
= − , kc = 2.5×10−3 kPa s−1
© Oxford University Press, 2014.