Thermodynamics

Thermodynamics

Question

The incorrect expression among the following is

  • fraction numerator increment space straight G subscript system over denominator increment straight G subscript total end fraction space equals space minus straight T
  • In isothermal process

    straight W subscript reversible space equals negative nRT space ln straight V subscript straight f over straight V subscript straight i

  • In space straight K space equals space fraction numerator increment straight H to the power of straight o minus straight T increment straight S over denominator RT end fraction
  • straight K space equals space straight e to the power of increment straight G to the power of straight o divided by RT end exponent

Answer

C.

In space straight K space equals space fraction numerator increment straight H to the power of straight o minus straight T increment straight S over denominator RT end fraction

Option C has incorrect expression. The correct expression is,
increment straight G to the power of straight o space equals space increment straight H to the power of straight o space minus straight T increment straight S to the power of straight o
increment straight G to the power of straight o space equals nRT space log space straight K
therefore equals negative RT space log space straight K space equals increment straight H to the power of straight o minus straight T increment straight S to the power of straight o
therefore space log space straight K space equals space minus space open parentheses fraction numerator increment straight H to the power of straight o minus straight T increment straight S to the power of straight o over denominator RT end fraction close parentheses

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