Which of the following identities can be most easily used to verify steam table data for superheated steam.

A $${\left( {\frac{{\partial {\text{T}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}} = {\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{S}}}}} \right)_{\text{V}}}$$
B $${\left( {\frac{{\partial {\text{T}}}}{{\partial {\text{P}}}}} \right)_{\text{S}}} = {\left( {\frac{{\partial {\text{V}}}}{{\partial {\text{S}}}}} \right)_{\text{P}}}$$
C $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{T}}}}} \right)_{\text{V}}} = {\left( {\frac{{\partial {\text{S}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$
D $${\left( {\frac{{\partial {\text{V}}}}{{\partial {\text{T}}}}} \right)_{\text{P}}} = - {\left( {\frac{{\partial {\text{S}}}}{{\partial {\text{P}}}}} \right)_{\text{T}}}$$

Correct Answer: $${\left( {\frac{{\partial {\text{V}}}}{{\partial {\text{T}}}}} \right)_{\text{P}}} = - {\left( {\frac{{\partial {\text{S}}}}{{\partial {\text{P}}}}} \right)_{\text{T}}}$$

Bissoy MCQ
#Chemical Engineering #Chemical Engineering Thermodynamics

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