\(\frac{C_{p}}{C_{v}}=\gamma=1+\frac{2}{f}=\frac{29}{22}\)

It gives \(f=6.3 \approx 6 \quad(3 \text { translational, } 2 \text { rotational and } 1\) vibrational)

For \(B:\)

\(\frac{C_{p}}{C_{v}}=\gamma=1+\frac{2}{f}=\frac{30}{21}\)

\(\Rightarrow \mathrm{f}=4.67\)

\(\Rightarrow \quad \approx 5 \quad(3 \text { translational, } 2\) rotational, no vibrational)