Match the C _ p C _ v ratio for ideal gases with different type of...

Relation between the ratio of specific heat and degree of freedom is given by,

$\gamma = 1 + \dfrac{2}{f} . . . ( 1 )$

For monoatomic molecule, $A$, $f = 3$

$⇒ \gamma = 1 + \dfrac{2}{3} = \dfrac{5}{3}$

For diatomic rigid molecule $B$, $f = 5$

$⇒ \gamma = 1 + \dfrac{2}{5} = \dfrac{7}{5}$

For diatomic non-rigid molecule $C$, $f = 7$ $⇒ \gamma = 1 + \dfrac{2}{7} = \dfrac{9}{7}$

For Triatomic rigid molecule $D$, $f = 6$ $⇒ \gamma = 1 + \dfrac{2}{6} = \dfrac{4}{3}$