Consider two thermally insulated vessels filled with air, having volumes ( V_1 ), ( V_2), Pressure P_1, P_2 and temperature T_1, T_2 for vessels 1…

Consider two thermally insulated vessels filled with air, having volumes ( $\displaystyle \mathrm{V}_1$ ), $\displaystyle \left(\mathrm{V}_2\right)$, Pressure $\displaystyle \mathrm{P}_1, \mathrm{P}_2$ and temperature $\displaystyle \mathrm{T}_1, \mathrm{~T}_2$ for vessels $\displaystyle 1$ and $\displaystyle 2$ respectively. What is the temperature inside the vessel at equilibrium if Joining valve of vessels $\displaystyle 1$ and $\displaystyle 2$ is opened?