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NEET2011PhysicsThermodynamicsActual

A mass of diatomic gas ( =1.4) at a pressure of 2 ~atm is compressed adiabatically so that its temperature rise from 27^ C to 927^ C . The pressure of the gas is final state is

Options

  1. A28 ~atm
  2. B68.7 ~atm
  3. C256 ~atm
  4. D8 ~atm

Correct answer

C. 256 ~atm

Step-by-step solution

aligned & T₁=273+27=300 ~K & T₂=273+927=1200 ~K aligned Gas equation for adiabatic process aligned & p V^ = constant & p ( T p )^ = constant ( p V=R T) & p₂ p₁ = ( T₂ T₁ )^ -1 & p₂=p₁ ( T₂ T₁ )^ -1 & p₂=2 ( 1200 300 )^ 1.4 1.4-1 & p₂=256 ~atm aligned

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