ThermodynamicsHard

Question

If cp and cv denotes the specific heats (per unit mass of an ideal gas of molecular weight M, then

Options

A.cp - cv = R / M2
B.cp - cv = R
C.cp - cv = R/M
D.cp - cv = MR

Solution

Let Cv and Cp be molar specific heats of the ideal gas at constant volume and constant pressure, respectively, then
Cp = Mcp and Cv = Mcv
∵ Cv - Cp = R     ∴ Mcp - Mcv = R
cv - cp = R/M

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