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If $c_p$ and $c_v$ denote the specific heats (per unit mass) of an ideal gas of molecular weight M, then (where R is the molar gas constant)
A
$c_p - c_v = R/M^2$
B
$c_p - c_v = R$
C
$c_p - c_v = R/M$
D
$c_p - c_v = MR$
Detailed Solution
Mayer's relation holds for molar specific heats: $C_p - C_v = R$
Molar specific heat = molecular weight × specific heat per unit mass: $C_p = Mc_p$ and $C_v = Mc_v$
$Mc_p - Mc_v = R$
$c_p - c_v = \frac{R}{M}$
Molar specific heat = molecular weight × specific heat per unit mass: $C_p = Mc_p$ and $C_v = Mc_v$
$Mc_p - Mc_v = R$
$c_p - c_v = \frac{R}{M}$