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KVPY2014PhysicsKinetic Theory of Gases

An ideal gas follows aprocess described by P V²=C from (P₁, V₁, T₁ ) to (P₂, V₂, T₂ )(C is a constant). Then

Options

  1. Aif P₁>P₂ then T₂>T₁
  2. Bif V ₂¹> V ₁² then T ₂² < T ₁¹
  3. Cif V ₂²> V ₁¹ then T ₂²> T ₁¹
  4. Dif P₁²>P₂ then V₂²>V₂¹

Correct answer

B. if V ₂¹> V ₁² then T ₂² < T ₁¹

Step-by-step solution

array l P V²=C P V . V=K nR T . V=K V T=K V₁ T₁=V₂ T₂ V₂>V₁ T < T P² 1 V₁²=P 2 V₂² V₂² V₁² = P₁ P₂ P. K² T² =C P T² =k P₁ T₁² = T₁² T₂² P₁ P₂ = T₁² T₂² array

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