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Two thermally insulated vessel 1 and 2 a...

Two thermally insulated vessel 1 and 2 are filled with air at temperature `(T_1T_2), volume (V_1V_2)` and pressure `(P_1P_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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