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Standard XII

Chemistry

Introduction

An insulated ...

Question

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 :

\frac{P_{1} V_{1} T_{2} + P_{2} V_{2} T_{1}}{P_{1} V_{1} + P_{2} V_{2}}

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\frac{T_{1} T_{2} (P_{1} V_{1} + P_{2} V_{2})}{P_{1} V_{1} T_{1} + P_{2} V_{2} T_{2}}

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\frac{T_{1} T_{2} (P_{1} V_{1} + P_{2} V_{2})}{P_{1} V_{1} T_{2} + P_{2} V_{2} T_{1}}

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\frac{P_{1} V_{1} T_{1} + P_{2} V_{2} T_{2}}{P_{1} V_{1} + P_{2} V_{2}}

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Solution

The correct option is C $\frac{T_{1} T_{2} (P_{1} V_{1} + P_{2} V_{2})}{P_{1} V_{1} T_{2} + P_{2} V_{2} T_{1}}$

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The correct option is C T1T2(P1V1+P2V2)P1V1T2+P2V2T1

The correct option is C $\frac{T_{1} T_{2} (P_{1} V_{1} + P_{2} V_{2})}{P_{1} V_{1} T_{2} + P_{2} V_{2} T_{1}}$