Question

An ideal gas undergoes a process in which $T=T_{0}+a V^{3}$; where $T_{0}$ and ' $a$ ' are positive constants and $V$ is molar volume. The molar volume for which pressure will be minimum is

(A) $\left(\frac{T_{0}}{2 a}\right)^{1 / 3}$

(B) $\left(\frac{T_{0}}{3 a}\right)^{1 / 3}$

(C) $\left(\frac{a}{3 T_{0}}\right)^{2 / 3}$

(D) $\left(\frac{2 a}{T_{0}}\right)^{1 / 3}$

Answer 1

The molar volume at pressure $\left(\frac{T_{0}}{2 a}\right)^{1 / 3}$ will be minimum. So, The correct option of this question is (A).