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Heat and Thermodynamics question

2008 · Shift 0 · Q79

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JEE Main
Physics
Heat and Thermodynamics
2008 · Shift 0 · Q79

Heat and Thermodynamics question

2008 · Shift 0 · Q79

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1

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
${{{T_1}{T_2}\left( {{P_1}{V_1} + {P_2}{V_2}} \right)} \over {{P_1}{V_1}{T_2} + {P_2}{V_2}{T_1}}}$
B
${{{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}} \over {{P_1}{V_1} + {P_2}{V_2}}}$
C
${{{P_1}{V_1}{T_2} + {P_2}{V_2}{T_1}} \over {{P_1}{V_1} + {P_2}{V_2}}}$
D
${{{T_1}{T_2}\left( {{P_1}{V_1} + {P_2}{V_2}} \right)} \over {{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}}}$

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