The rate of the electron-exchange reaction between naphthalene (C10H8) and its anion radical (C10H8¬) in an organic solvent is diffusion controlled. C10H8¯ + C10H8=C10H8 + C10H8¯ The reaction is bimolecular and second order. The rate constants are as follows. T/K 305 295 291 275 k/109 M-1.s-1 2.64 2.21 2.05 1.49 Calculate the values of Ea, AHo#, ASº† and AGº† at 295 K for the reaction. [Hint: Rearrange the equation below and plot In(k/T) versus 1/T.] k = h kBT Asot/Re-AH®?/RT(M1 – m)

Chemistry
10th Edition
ISBN:9781305957404
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Chapter1: Chemical Foundations
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Phase Transition Thermodynamic Data
formula
Tm (°C)
AH fus (kJ/mol)
E (K-kg/mol)
T, (°C)
ΔΗ
vap (kJ/mol)
Еъ (К-kg/mol)
T. (°C)
P (atm)
C
4489
117
CBrCIF2
-3.6
153.73
42.0
CBRF3
CB12F2
CBr4
-57.7
67.1
39.2
25
198.2
40.8
92.3
3.76
CCIF3
-81.3
29
38.2
CL,F2
CCI3F
-29.7
111.80
40.8
23.8
198.0
44.1
CC14
-22.62
2.56
76.8
29.82
283.5
44.6
CF4
CHCIF2
-127.9
-45.5
36.9
-40.6
96.4
49.7
CHCI,F
CHC13
9.0
178.5
51.1
-63.41
9.5
61.17
29.24
263.3
54.0
CHF3
-82.0
26.2
47.9
CH,Cl,
CH2F2
CH3CN
CH;COC,H5
CH3CONH,
CH;CO,C,H5
-97.2
4.60
49.6
28.06
2.42
237
60.2
-51.5
78.5
57.5
81.65
1.44
272.5
48.2
5.16
3.92
2.82
CH3CI
-97.7
6.43
-24.09
21.40
143.10
65.9
CH3F
-78.3
44.7
58.0
CH3I
4.31
CH;NO
4.25
CH;NO2
2.09
CH3OH
-97.53
3.215
64.6
35.21
0.86
239.4
79.8
CH4
-182.47
0.94
-161.48
8.19
-82.9
45.4
CO
-205.02
0.833
-191.5
6.04
-140.2
34.5
COCI,
8
182
56.0
CO2
-56.56
9.02
-78.50
31.1
73.0
CS2
46
279
78.0
C19H160
C10H8
C12H11N
37.8
7.45
8.38
Transcribed Image Text:Phase Transition Thermodynamic Data formula Tm (°C) AH fus (kJ/mol) E (K-kg/mol) T, (°C) ΔΗ vap (kJ/mol) Еъ (К-kg/mol) T. (°C) P (atm) C 4489 117 CBrCIF2 -3.6 153.73 42.0 CBRF3 CB12F2 CBr4 -57.7 67.1 39.2 25 198.2 40.8 92.3 3.76 CCIF3 -81.3 29 38.2 CL,F2 CCI3F -29.7 111.80 40.8 23.8 198.0 44.1 CC14 -22.62 2.56 76.8 29.82 283.5 44.6 CF4 CHCIF2 -127.9 -45.5 36.9 -40.6 96.4 49.7 CHCI,F CHC13 9.0 178.5 51.1 -63.41 9.5 61.17 29.24 263.3 54.0 CHF3 -82.0 26.2 47.9 CH,Cl, CH2F2 CH3CN CH;COC,H5 CH3CONH, CH;CO,C,H5 -97.2 4.60 49.6 28.06 2.42 237 60.2 -51.5 78.5 57.5 81.65 1.44 272.5 48.2 5.16 3.92 2.82 CH3CI -97.7 6.43 -24.09 21.40 143.10 65.9 CH3F -78.3 44.7 58.0 CH3I 4.31 CH;NO 4.25 CH;NO2 2.09 CH3OH -97.53 3.215 64.6 35.21 0.86 239.4 79.8 CH4 -182.47 0.94 -161.48 8.19 -82.9 45.4 CO -205.02 0.833 -191.5 6.04 -140.2 34.5 COCI, 8 182 56.0 CO2 -56.56 9.02 -78.50 31.1 73.0 CS2 46 279 78.0 C19H160 C10H8 C12H11N 37.8 7.45 8.38
Please use the values in the resources listed below instead of the textbook values.
The rate of the electron-exchange reaction between naphthalene (C10H8) and its anion radical (C10H8¯) in an organic solvent is diffusion controlled.
C10H8 + C10H8=C10H8 + C10H8-
The reaction is bimolecular and second order. The rate constants are as follows.
T/K
305
295
291
275
k/109 M-1.s-1 2.64 2.21 2.05 1.49
Calculate the values of Ea, AH°†, AS°† and AG°† at 295 K for the reaction. [Hint: Rearrange the equation below and plot In(k/T) versus 1/T.]
kBT ASot/Re-AH°ł/RT(M1 – m)
k =
h
Ea =
17.8
X kJ•mol-1
AH°# =
12.9
X kJ•mol-1
ASot = |-22.3
X J-K-1.mol-1
AG°# =
19.5
kJ•mol-1
Transcribed Image Text:Please use the values in the resources listed below instead of the textbook values. The rate of the electron-exchange reaction between naphthalene (C10H8) and its anion radical (C10H8¯) in an organic solvent is diffusion controlled. C10H8 + C10H8=C10H8 + C10H8- The reaction is bimolecular and second order. The rate constants are as follows. T/K 305 295 291 275 k/109 M-1.s-1 2.64 2.21 2.05 1.49 Calculate the values of Ea, AH°†, AS°† and AG°† at 295 K for the reaction. [Hint: Rearrange the equation below and plot In(k/T) versus 1/T.] kBT ASot/Re-AH°ł/RT(M1 – m) k = h Ea = 17.8 X kJ•mol-1 AH°# = 12.9 X kJ•mol-1 ASot = |-22.3 X J-K-1.mol-1 AG°# = 19.5 kJ•mol-1
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