Which is not constant for an ideal gas?

A. $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$

B. $${\left( {\frac{{\partial {\text{V}}}}{{\partial {\text{T}}}}} \right)_{\text{P}}}$$

C. $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{V}}}$$

D. All of the above

Answer: Option A

Solution(By Examveda Team)

For an ideal gas $$PV = nRT$$
$$\eqalign{ & So,{\left( {\frac{{\partial P}}{{\partial V}}} \right)_T} = \frac{{ - nRT}}{{{V^2}}} \cr & \frac{{\partial V}}{{\partial {T_P}}} = \frac{{nR}}{P} \cr & \frac{{\partial P}}{{\partial {V_V}}} = \frac{{nR}}{V}{\left( {\frac{{\partial T}}{{\partial V}}} \right)_V} \cr} $$