Explain Why:
gamma/(gamma-1)=m×Cv

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Solution

gamma = Cp / Cv
Eq. 1a:
Cp - Cv = R
where Cp is the specific heat coefficient at constant pressure, Cv is the the specific heat coefficient at constant volume,gamma is the ratio of specific heats, and R is the gas constant from the equation of state. Divide Eq 1a by Cp:
Eq. 2:
1 - 1 / gamma = R / Cp
Regroup the terms:

Eq. 3:
Cp / R = gamma / (gamma - 1)

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