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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2004 · Physics · Kinetic Theory of Gases

Two thermally insulated vessels 1 and 2 are filled with air at...

Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T1,T2)\left(T_1, T_2\right), volume \left(V_1, V_2\right)andpressure(P1,P2)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

Options

  1. AT1+T2\mathrm{T}_1+\mathrm{T}_2
  2. B(T1+T2)/2\left(\mathrm{T}_1+\mathrm{T}_2\right) / 2
  3. CT1 T2(P1 V1+P2 V2)P1 V1 T2+P2 V2 T1\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}
  4. DT1 T2(P1 V1+P2 V2)P1 V1 T1+P2 T2 T2\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}_1+\mathrm{P}_2 \mathrm{~T}_2 \mathrm{~T}_2}

Correct answer

C. T1 T2(P1 V1+P2 V2)P1 V1 T2+P2 V2 T1\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}

Step-by-step solution

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