Thermodynamics

Thermodynamics

Question

Standard entropy of X2, Y2 and XY3 are 60, 40 and 50 JK−1
mol −1, respectively. For the reaction,1/2X2 + 3/2Y2, ΔH = -30 kJ,to be at equilibrium, the temperature will be

  • 1250 K

  • 500 K 

  • 750 K

  • 1000 K

Answer

C.

750 K

1 half space straight X subscript 2 space plus space 3 over 2 straight Y subscript 2 space rightwards arrow space XY subscript 3
space increment straight S subscript reaction space equals space minus space 50 minus open parentheses 3 over 2 space straight x space 40 space plus space 1 half space straight x space 60 close parentheses space equals space minus space 40 space straight J space mol to the power of negative 1 end exponent
increment straight G space space equals space increment straight H space minus space straight T increment straight S
at space equilibrium space increment straight G space equals space 0
increment straight H space equals space straight T increment straight S
30 space straight x space 10 cubed space equals space straight T space straight x space 40
rightwards double arrow space straight T space equals space 750 space straight K

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