Question

For which y =cb/cv is maximum

Answer 1

answer : for monoatomic gas

explanation : value of $\gamma$ depends on degree of freedom. it is inversely proportional to degree of freedom.

i.e., $\gamma=1+\frac{2}{f}$

where f is degree of freedom.

for monoatomic gas,

degree of freedom , f = 3

so, $\gamma=1+\frac{2}{3}=\frac{5}{3}\approx1.67$

for diatomic gas,

degree of freedom , f = 5

so, $\gamma=1+\frac{2}{5}=1.4$

for triatomic gas,

degree of freedom, f = 6

so, $\gamma=1+\frac{2}{6}\approx1.33$

here you can see in case of monoatomic gas , Cp/Cv value is maximum and i.e., 1.67 (approximately)