Three perfect gases at absolute temperature `T_(1), T_(2)` and `T_(3)` are mixed. The masses f molecules are `m_(1), m_(2)` and `m_(3)` and the number of molecules are `n_(1), n_(2)` and `n_(3)` respectively. Assuming no loss of energy, the final temperature of the mixture is

Options

A. `(T_1+T_2+T_3)/3`
B. (n_1T_1+n_2T_2+n_3T_3)/(n_1+n_2+n_3)`
C. `(n_1T_1^2+n_2T_2^2+ n_3T_3^2)/(n_1T_1+n_2T_2+n_3T_3)`
D. `(n_1^2T_1^2+n_2^2T_2^2+ n_3^2T_3^2)/(n_1T_1+n_2T_2+n_3T_3)`