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JEE Main2008PhysicsKinetic Theory of GasesActual

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V₁ and contains ideal gas at pressure P₁ and temperature T₁ . The other chamber has volume V₂ and contains ideal gas at pressure P₂ and temperature T₂ . If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

Options

  1. AT₁ T₂ (P₁ V₁+P₂ V₂ ) P₁ V₁ T₂+P₂ V₂ T₁
  2. BP₁ V₁ T₁+P₂ V₂ T₂ P₁ V₁+P₂ V₂
  3. CP₁ V₁ T₂+P₂ V₂ T₁ P₁ V₁+P₂ V₂
  4. DT₁ T₂ (P₁ V₁+P₂ V₂ ) P₁ V₁ T₁+P₂ V₂ T₂

Correct answer

A. T₁ T₂ (P₁ V₁+P₂ V₂ ) P₁ V₁ T₂+P₂ V₂ T₁

Step-by-step solution

aligned & U=U₁+U₂ & T= (P₁ V₁+P₂ V₂ ) T₁ T₂ (P₁ V₁ T₂+P₂ V₂ T₁ ) aligned

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