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Kinetic Theory

JEE Main level, single correct, medium

165 of 168

Question 165 of 168

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

Show answer and solution

Answer: (A) $\frac{T_1 T_2\left(P_1 V_1+P_2 V_2\right)}{P_1 V_1 T_2+P_2 V_2 T_1}$

\begin{aligned} & U=U_1+U_2 \\ & T=\frac{\left(P_1 V_1+P_2 V_2\right) T_1 T_2}{\left(P_1 V_1 T_2+P_2 V_2 T_1\right)} \end{aligned}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Kinetic Theory (Pressure and Energy of gas), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.