Assertion: The ratio Cp /Cv 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.

Question

Assertion: The ratio Cp /Cv 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

Tardigrade Admin · Accepted Answer

The ratio (Cp/CV) is given by, &gamma;=(Cp/CV)=1+(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

Q. 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.

It both Assertion and Reason are true and the Reason is a correct explanation of the Assertion

If both Assertion and Reason are true but Reason is not a correct explanation of the Assertion

If Assertion is true but the Reason is false

If both Assertion and Reason are false

The ratio $\frac{C _{p}}{C _{V}}$ is given by,
$γ = \frac{C _{p}}{C _{V}} = 1 + \frac{2}{n}$ 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), $γ_{monatomic} > γ_{dlatiomic}$

Q. Assertion: The ratio Cp​/Cv​ 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.