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AIIMS2014ChemistryThermodynamics (C)

A diatomic gas at pressure P , compressed adiabatically to half of its volume, what is the final pressure?

Options

  1. A(2)^ 1.4 P
  2. BP /(2)^ 1.4
  3. C(2)^ 5 / 3 P
  4. DP /(2)^ 5 / 3

Correct answer

A. (2)^ 1.4 P

Step-by-step solution

For adiabatic conditions, P V^ = Constant P₁ V₁^ =P₂ V₂^ ; V₂= 1 2 V₁P₂=P₁ ( V₁ V₂ )^ [For diatomic gas, =1.4 ] P₂=P₁ ( V₁ 2 V₁ )^ 1.4 P₂=P₁(2)^ 1.4 =(2)^ 1.4 P

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