Two perfect gases at absolute temperature `T_(1) and T_(2)` are mixed. There is no loss of energy. The masses of the molecules are `m_(1) and m_(2)`. The number of molecules in the gases are `n_(1) and n_(2)`. The temperature of the mixture is

Options

A. `(m_(1)T_(1)+m_(2)T_(2))/(m_(1)+m_(2))`
B. `(M_(1)T_(1)+M_(2)T_(2))/(M_(1)+M_(2))`
C. `((m_(1))/(M_(1))T_(1)+(m_(2))/(M_(2))T_(2))/(((m_(1))/(M_(1))+(m_(2))/(M_(2))))`
D. `((M_(1))/(m_(1))T_(1)+(M_(2))/(m_(2))T_(2))/((M_(1))/(m_(1))+(M_(2))/(M_(2)))`

Answer

C