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Two thermally insulated vessels (1) and ...

Two thermally insulated vessels (1) and (2) are filled with air at temperature `(T_1,T_2)` volumes `(V_1,V_2)` and pressures `(p_1,p_2)` respectively. If the valve joining the two vessela is opened, the temperature inside the vessel at equilibrium will be `(P = common pressure)`.

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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