Question

The molar heat capacity in a process of a diatomic gas if it does a work of $\frac{Q}{4}$when a heat of Q is supplied to it is –

• A. $\frac{2}{5}$ R
• B. $\frac{5}{2}$R
• C. $\frac{10}{3}$R
• D. $\frac{6}{7}$R

Answer 1

Answer: (C)

$\frac{10}{3}$R

Answer 2

From first law of thermodynamics

Q = W + DU

Q = $\frac{Q}{4}$ + nC_VDT

$\frac{3Q}{4}$= nC_VDT

$\frac{3}{4}$ nCDT = nC_VDT