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Thermodynamics

Question
CBSEENCH11008386

The values of ΔH and ΔS for the reaction, C(graphite) + CO2(g) → 2 CO (g) are 170 kJ and 170 JK-1 respectively. This reaction will be spontaneous at

  • 710 K 

  • 910 K

  • 1110 K

  • 510 K

Solution

C.

1110 K

For spontaneous process, ΔG < 0
increment straight G space equals space increment straight H minus straight T increment straight S
Given comma space increment straight H space equals space 170 space kJ
increment straight S space equals space 170 space JK to the power of negative 1 end exponent
straight T space equals ?
increment straight G space equals space increment straight H minus space straight T increment straight S

0 less than 170 space straight x space 10 cubed space minus space straight T space straight x space 170
straight T greater than 1000
straight T minus 1110 space straight K