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An insulated container of gas has two ch...

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)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Two adiabatic containers have volumes V_(1) and V_(2) respectively. The first container has monoatomic gas at pressure p_(1) and temperature T_(1) . The second container has another monoatomic gas at pressure p_(2) and temperature T_(2) . When the two containers are connected by a narrow tube, the final temperature and pressure of the gases in the containers are P and T respectively. Then

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