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MHT CET202020 Oct 2020Evening ShiftPhysicsKinetic Theory of GasesActual

We have a sample of gas characterised by P , V and T and another sample of gas characterised by 2 P , V / 4 , and 2 ~T . What is the ratio of the number of molecules in the first and second samples?

Options

  1. A2: 1
  2. B4: 1
  3. C8: 1
  4. D16: 1

Correct answer

B. 4: 1

Step-by-step solution

array ll PVT & 2 P , V / 4,2 ~T array P ₁ V ₁= n ₁ RT ₁ ; P ₂ V ₂= n ₂ RT ₂ n ₁ n ₂ = P ₁ V ₁ / RT ₁ P ₂ V ₂ / RT ₂ = P ₁ V ₁ T ₁ T ₂ P ₂ V ₂ = PV T 2 T 2 2 P V 4 =4: 1

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