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Two thermally insulated vessels 1 and 2 ...

Two thermally insulated vessels 1 and 2 are filled with air at temperature `(T_(1),T_(2))`, volume `(V_(1),V_(2))` and pressure `(P_(1),P_(2))` respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

A

`T_(1)+T_(2)`

B

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

C

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

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:
C
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