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Manipal MET2014PhysicsThermodynamics

The pressure p , volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2 p , volume V / 4 and temperature 2 T , then the ratio of the number of molecules in the jar A and B will be

Options

  1. A1: 1
  2. B1: 2
  3. C2: 1
  4. D4: 1

Correct answer

D. 4: 1

Step-by-step solution

We have, ideal gas equation p V= R T= ( N N_A ) R T where, N= number of molecule, N_A =Avogadro number N₁ N₂ = ( p₁ p₂ ) ( V₁ V₂ ) ( T₂ T₁ )= ( p 2 p ) ( V V / 4 ) ( 2 T T )= 4 1

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