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

Options

A. `T_(1) + T_(2)`
B. `T_(1)T_(2) (P_(1)V_(1) + P_(2)V_(2)) // (P_(1)V_(1)T_(1) + P_(2)V_(2)T_(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)) // 2`

Answer

C

Explanation

`n = (PV)/(RT) = Const`