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In an adiabatic process of an ideal gas PVγ = constant where
Question

In an adiabatic process of an ideal gas PVγ = constant where

A.

γ = Cp/Cv

B.

γ = Cv/Cp

C.

​γ = Cp – Cv

D.

​γ = Cv – Cp

Correct option is A

Correct Answer: (a) γ = Cp / Cv

Explanation

  • In an adiabatic process of an ideal gas, the relation is:

PVγ=constant

  • Here, γ (gamma) is the ratio of specific heats:

γ=CpCv\gamma = \frac{C_p}{C_v}​​

Information Booster

  • Cp → Specific heat at constant pressure
  • Cv → Specific heat at constant volume
  • For adiabatic process:
    • No heat exchange (Q = 0)
    • Temperature changes due to work done.

Additional Knowledge 

  • γ > 1 for all gases.
  • γ for monoatomic gas ≈ 1.67, diatomic gas ≈ 1.4.

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