The ratio of specific heats, denoted by \( \gamma \), is defined as \( \gamma = \frac{C_p}{C_v} \). For monatomic ideal gases, \( \gamma = \frac{5}{3} \) due to translational degrees of freedom only. Diatomic ideal gases have \( \gamma = \frac{7}{5} \), accounting for both translational and rotational degrees of freedom. While vibrational degrees of freedom can exist at high temperatures, this analysis assumes simple diatomic molecules. Therefore, \( \frac{C_p}{C_v} = \frac{5}{3} \) for monatomic gases and \( \frac{C_p}{C_v} = \frac{7}{5} \) for diatomic gases.