The ratio of the adiabatic to isothermal elasticities of a triatomic (non-linear) gas is
The ratio of the adiabatic to isothermal elasticities of a triatomic (non-linear) gas is
\(3: 4\)
\(1: 2\)
\(4: 3\)
\(5: 3\)
Solution
For triatomic non-linear gas degree of freedom, \(f=6\)
\(\begin{aligned}
& C_V=\frac{f R}{2}=\frac{6 R}{2}=3 R \\
\therefore \quad C_p & =C_V+R=3 R+R=4 R
\end{aligned}\)
\(\therefore\) Ratio of adiabatic to isothermal elasticities of a triatomic (non-linear) gas is
\(\gamma=\frac{C_p}{C_V}=\frac{4 R}{3 R}=\frac{4}{3}\)