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Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T1, T2 ), volume (V1, V2 ) and pressure (P1, P2 ) respectively. If the valve joining two vessels is opened, the temperature inside the vessel at equilibrium will be

T1 ~T2 (P1 ~V1+P2 ~V2 )P1 ~V1 ~T2+P2 ~V2 ~T1

T1 ~T2 (P1 ~V1+P2 ~V2 )P1 ~V1 ~T1+P2 ~T2 ~T2

Kinetic Theory

JEE Main level, single correct, medium

21 of 168

Question 21 of 168

Two thermally insulated vessels 1 and 2 are filled with air at temperatures $\left(T_1, T_2\right)$ , volume $\left(V_1, V_2\right)$ and pressure $\left(P_1, P_2\right)$ respectively. If the valve joining two vessels is opened, the temperature inside the vessel at equilibrium will be

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Answer: (C) $\frac{\mathrm{T}_1 \mathrm{~T}_2\left(\mathrm{P}_1 \mathrm{~V}_1+\mathrm{P}_2 \mathrm{~V}_2\right)}{\mathrm{P}_1 \mathrm{~V}_1 \mathrm{~T}_2+\mathrm{P}_2 \mathrm{~V}_2 \mathrm{~T}_1}$

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JEE Main 2025 Apr 2 Shift 1 question paper

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