An ideal gas undergoes a process maintaining relation between pressure $$(P)$$ and volume $$(V)$$ as $$P = P_0\left(1 + \left(\frac{V_0}{V}\right)^2\right)^{-1}$$, where $$P_0$$ and $$V_0$$ are constants. If two samples A and B (two moles each) with initial volumes $$V_0$$ and $$3V_0$$ respectively undergo above mentioned process and attain same pressure, then the difference of the temperatures of these samples, $$T_B - T_A$$ is :
(R = gas constant)