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MHT CET202519 Apr 2025Morning ShiftPhysicsKinetic Theory of GasesActual

For ideal non-rigid diatomic gas, the value of R C_V is nearly ( = C_P C_V = 9 7 )

Options

  1. A0.4
  2. B0.66
  3. C0.28
  4. D1.28

Correct answer

C. 0.28

Step-by-step solution

The ratio R C_V can be derived using fundamental thermodynamic relations. The Mayer relation states C_P - C_V = R , while the specific heat ratio is defined as = C_P C_V . Substituting C_P = R + C_V into the expression for yields = R + C_V C_V = R C_V + 1 . Solving for the desired ratio gives R C_V = - 1 . Given = 9 7 , we compute R C_V = 9 7 - 1 = 2 7 0.2857 . Among the options, 0.28 provides the closest approximation. Final answer: C

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