Explanation:
Let molar heat capacity at constant pressure \( = {S_P}\)
and molar heat capacity at constant volume \( = {s_V}\)
\(\therefore \,\,\,\,\,{s_P} - {s_V} = R\)
Now, principal specific heat, \(C = \frac{s}{M}\)
\(\therefore \quad {C_P} - {C_V} = \frac{R}{M}\)
\(\therefore \) For \(He,a = \frac{R}{4};\) for \({O_2},\;b = \frac{R}{{32}}\)
\(\therefore \quad \frac{b}{a} = \frac{R}{{32}} \times \frac{4}{R} = \frac{1}{8}\)
\( \Rightarrow b = 0.125a = 0.13a\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{(Rounding}}\,{\rm{off}}\,{\rm{to}}\,{\rm{two}}\,{\rm{digits)}}\)