Question

Assertion: The ratio $C_p /C_v$ for a diatomic gas is more than that for a monotomic gas.
Reason: The molecules of a monotomic gas have more degree of freedom than those of a diatomic gas.

• A. It both Assertion and Reason are true and the Reason is a correct explanation of the Assertion
• B. If both Assertion and Reason are true but Reason is not a correct explanation of the Assertion
• C. If Assertion is true but the Reason is false
• D. If both Assertion and Reason are false

Answer 1

Answer: (D)

The ratio $\frac{C_{p}}{C_{V}}$ is given by,
$\gamma=\frac{C_{p}}{C_{V}}=1+\frac{2}{n}$ where $n$ is the number of degrees of freedom. Since the number of degrees of freedom for monatomir. gas (3) is less than that of
diatomic gas (5), $\gamma_{\text {monatomic }}>\gamma_{\text {dlatiomic }}$