Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom.
Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom. The gas is maintained at a temperature of $\mathrm{T}$. The total internal energy, U of a mole of this gas, and
the value of $\gamma\left(=\frac{C_{\mathrm{P}}}{C_{\mathrm{v}}}\right)$ given, respectively, by:
Correct Option: , 4
Total degree of freedom $=3+2=5$
$\mathrm{U}=\frac{\mathrm{nfRT}}{2} \Rightarrow \frac{5 \mathrm{RT}}{2}$
$\gamma \Rightarrow \frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}} \Rightarrow 1+\frac{2}{\mathrm{f}} \Rightarrow 1+\frac{2}{5} \Rightarrow \frac{7}{5}$
Ans. (4)
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