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
A. `T_1T_2((P_1V_1+P_2V_2))/(P_1V_1T_2+P_2V_2T_1)`
B. `(P_1V_1T_1+P_2V_2T_2)/(P_1V_1+P_2v_2)`
C. `P_1V_1T_2+P_2V_2T_1/(P_1V_1+P_2V_2)`
D. `T_1T_2((P_1V_1+P_2V_2))/(P_1V_1T_1+P_2V_2T_2)`
