Question

If a gas has f - degrees of freedom, the ratio $C_p/C_v$ of the gas is

• A. $\frac{1+f}{2}$
• B. $1+\frac{f}{2}$
• C. $f+\frac{1}{2}$
• D. $1+\frac{2}{f}$

Answer 1

The Correct Option is D

Given: $ \frac{C_{P}}{C_{v}}=r $ $C_{P}=$ Shecific heot ot constont pressure $C_{v}=$ sheofic heat ot constent volume $\begin{aligned} \text { We lenow thot, } & \text {, } C_{0}=\left(\frac{f}{\partial}+1\right) R \quad R \rightarrow \text { hoos Constent } \\ C_{v} &=\left(\frac{f}{2}\right) R \\ \Rightarrow \frac{C_{0}}{C_{v}} &=\frac{\frac{f}{2}+1}{f / 2} \Rightarrow \frac{f+2}{f} \\ \Rightarrow \quad V &=1+\frac{2}{f} \end{aligned}$