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Manipal MET2018PhysicsThermodynamics

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 of the gas respectively in the figure given, then

Options

  1. Am₁ m₂
  2. Bm₁=m₂
  3. Cm₁ m₂
  4. Dm₁ m₂

Correct answer

C. m₁ m₂

Step-by-step solution

p V=n R T= m M R T For lst graph, p= m₁ M R T V₁ For 2nd graph, p= m₂ M R T V₂ Equating the two, we get array ll & m₁ m₂ = V₁ V₂ m & 1 V array As V₂ V₁ m₁ m₂

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