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Two thermally insulated vessels 1 and 2 ...

Two thermally insulated vessels 1 and 2 are filled with air at temperatures `(T_1, T_2)`, volumes `(V_1, V_2)` and pressures `(P_1, P_2)` respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will

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)`

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