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Three perfect gases at absolute temperat...

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

A

`((T_(1)+T_(2)+T_(3)))/(3)`

B

`(n_(1)T_(1)+n_(2)T_(2)+n_(3)T_(3))/(n_(1)+n_(2)+n_(3))`

C

`(n_(1)T_(1)^(2)+n_(2)T_(2)^(2)+n_(3)T_(3)^(2))/(n_(1)T_(1)+n_(2)T_(2)+n_(3)T_(3))`

D

`(n_(1)^(2)T_(1)^(2)+n_(2)^(2)T_(2)^(2)+n_(3)^(2)T_(3)^(2))/(n_(1)T_(1)+n_(2)T_(2)+n_(3)T_(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
`T = (n_(1)T_(1)+n_(2)T_(2)+n_(3)T_(3))/(n_(1)+n_(2)+n_(3))`
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