Two ideal polyatomic gases at temperatures T_1 and T_2 are mixed so that there is no loss of energy. If F_1 and F_2, m_1 and m_2, n_1 and n_2 be the…

Two ideal polyatomic gases at temperatures $\displaystyle \mathrm{T}_1$ and $\displaystyle \mathrm{T}_2$ are mixed so that there is no loss of energy. If $\displaystyle \mathrm{F}_1$ and $\displaystyle \mathrm{F}_2, \mathrm{~m}_1$ and $\displaystyle \mathrm{m}_2, \mathrm{n}_1$ and $\displaystyle \mathrm{n}_2$ be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is :