For a reversible adiabatic process of an ideal gas with gamma = C_p/C_v, which relation holds?

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For a reversible adiabatic process of an ideal gas with $γ = C_{p} / C_{v}$ , which relation holds?

With

q = 0

and

d U = n C_{v} d T = - P d V

, integration gives

P V^{γ} = constant

, equivalently

T V^{γ - 1} = constant

P V = constant

is the isothermal (Boyle) relation.