Question

An ideal diatomic gas is expanding according to process pt2 = constant. the molar specific heat ca

Answer 1

This type of questions solved by comparison of adiabatic equation of relationship between p, v , T .
e.g., in adiabatic process, $PV^{\gamma}=\text{constant}$
or, $PT^{\frac{\gamma}{\gamma-1}}=\text{constant}$

given, PT² = constant , compare with above P, T relation
$2=\frac{\gamma}{\gamma-1}\\\\2{\gamma-2}=\gamma\\\\\gamma=2$

now, molar specific heat capacity at constant volume , Cv = R/(γ -1) = R/(2 -1) = R
molar molar specific heat capacity at constant pressure , Cp = Cv + R = R + R = 2R