Question

One mole of a monoatomic ideal gas is taken along ABCA as shown in the diagram.

The ratio specific heat in the process CA to the specific heat in the process BC is:

• A. $2$
• B. $\frac{5}{3}$
• C. $4$
• D. None of these

Answer 1

Answer: (B)

$\frac{5}{3}$

Process CA is constant pressure,
and so $C=C_p$ = $\frac{5R}{2}$

Process AB is constant volume
and so $C=C_v$ = $\frac{3R}{2}$

Their ratio is $\frac{C_p}{C_v}=\gamma$

For a monoatomic ideal gas $\gamma =\frac{5}{3}$

Hence option B is correct.