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An insulated container of gas has two ch...

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume `V_(1)` and contains ideal gas at pressure `P_(1)` and temperature `T_(1)`. The other chambers has volume `V_(2)` and contains ideal gas at pressure `P_(2)` and temperature `T_(2)`. If the partion is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

A

`(T_(1)T_(2)(P_(1)V_(1)+P_(2)V_(2)))/(P_(1)V_(1)T_(2)+P_(2)V_(2)T_(1))`

B

`(P_(1)V_(1)T_(1)+P_(2)V_(2)T_(2))/(P_(1)V_(1)+P_(2)V_(2))`

C

`(P_(1)V_(1)T_(2)+P_(2)V_(2)T_(1))/(P_(1)V_(1)+P_(2)V_(2))`

D

`(T_(1)T_(2)(P_(1)V_(1)+P_(2)V_(2)))/(P_(1)V_(1)T_(1)+P_(2)V_(2)T_(2))`

Text Solution

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The correct Answer is:
A
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