For an ideal gas,
A. $${\left( {\frac{{\partial p}}{{\partial T}}} \right)_V}{\left( {\frac{{\partial T}}{{\partial V}}} \right)_p}{\left( {\frac{{\partial V}}{{\partial p}}} \right)_T} = 0$$
B. $${\left( {\frac{{\partial p}}{{\partial T}}} \right)_V}{\left( {\frac{{\partial T}}{{\partial V}}} \right)_p}{\left( {\frac{{\partial V}}{{\partial p}}} \right)_T} = - 1$$
C. $${\left( {\frac{{\partial p}}{{\partial T}}} \right)_V}{\left( {\frac{{\partial T}}{{\partial V}}} \right)_p}{\left( {\frac{{\partial V}}{{\partial p}}} \right)_T} = + 1$$
D. $${\left( {\frac{{\partial p}}{{\partial T}}} \right)_V}{\left( {\frac{{\partial T}}{{\partial V}}} \right)_p}{\left( {\frac{{\partial V}}{{\partial p}}} \right)_T} = + 2$$
Answer: Option A
This Question Belongs to Engineering Chemistry >> Chemical And Ionic Equilibrium
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