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NEET2016PhysicsKinetic Theory of GasesActual

Two different isotherms representing the relationship between pressure p and volume V at a given temperature of the same ideal gas are shown for masses m₁ and m₂ , then

Options

  1. ANothing can be predicted
  2. Bm₁ m₂
  3. Cm₁=m₂
  4. Dm₁ m₂

Correct answer

B. m₁ m₂

Step-by-step solution

p V=n R T= m M R T For m₁, p= m₁ M R T V₁ ...(i) For m₂, p= m₂ M R T V₂ ....(ii) From Eqs. (i) and (ii), we get m₁ M R T V₁ = m₂ M R T V₂ m₁ V₁ = m₂ V₂ aligned & Thus, V m & V₂ V₁ & m₂ m₁ & aligned

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