An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume `V_1` and contains ideal gas at pressure `P_1` and temperature `T_1`.The other chamber has volume `V_2` and contains ideal gas at pressure `P_2` and temperature `T_2`. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

Options

A. `(P_(1) V _(1) T_(1) + P_(2) V _(2) T_(2))/(P _(1) V_(1) + P_(2) V_(2))`
B. `(P_(1) V _(1) T_(1) + P_(2) V _(2) T_(1))/(P _(1) V_(1) + P_(2) V_(2))`
C. `(T_(1) T _(2) (P_(1) V _(1) + P _(2) V_(2)))/(P _(1) V_(1)T_(1) + P _(2) V_(2) T_(2))`
D. `(T_(1) T _(2) (P_(1) V _(1) + P _(2) V_(2)))/(P _(1) V_(1)T_(2) + P _(2) V_(2) T_(1))`