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Question: Answered & Verified by Expert

The variation of equilibrium constant with temperature is given below :

TemperatureEquilibriumConstantT1=25°CK1=10T2=100°CK2=100

The values of ΔH°, ΔG° at T1 and ΔG° at T2 (in kJ mol-1 ) respectively, are close to [use R=8.314JK-1mol-1]

ChemistryThermodynamics (C)JEE Main
Options:
  • A 28.4,-7.14 and -5.71
  • B 0.64,-7.14 and -5.71
  • C 28.4,-5.71 and -14.29
  • D 0.64,-5.71 and -14.29
Solution:
2217 Upvotes Verified Answer
The correct answer is: 28.4,-7.14 and -5.71

  T1=323K  T2=373K
k1=10  k2=100
logk2k1=ΔH2.303R1T1-1T2

log10010=ΔH2.303×8.3141298-1373

log10=ΔH2.303×8.31475298×373

ΔH=2.303×8.314×298×37375=28.4KJ

At T1=25°C=298K,K1=10

ΔG=-2.303RT1logk 1

=-2.303×8.314×298×log(10)

=-2.303×8.314×298×1

=-5.7KJ

At T2=100°C=373K  K2=100

ΔG=-2.303RT2logK2

=-2.303×8.314×373×log(10)2

=-2.303×2×8.314×373×1

=-14283.7J

=-14.29KJ

 

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