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 degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is;
