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

Explanation

`K_(1) = n_(1) .(3)/(2) k T_(1)`
`K_(2) = n_(2) .(3)/(2) k T_(2)`
Total `K.E. K = (3)/(2) k [n_(1) T_(1) + n_(2) T_(2)]` (i)
Let `T` be the temperature of mixture,
Total `K.E, K' = (n_(1) + n_(2)). (3)/(2)k T` (ii)
`K' = K`
`T = (n_(1) T_(1) + n_(2)T_(2))/(n_(1) + n_(2))`