# A polyatomic ideal gas has 24 vibrational modes. What is the value of gamma ?

more_vert

A polyatomic ideal gas has 24 vibrational modes. What is the value of $$\gamma$$ ?

(1) 10.3 (2) 1.03 (3) 1.30 (4) 1.37

more_vert

verified

(2) 1.03 is the correct option

Explaination ::

f= 3+3 +24 (vibrational modes) =30

$$\gamma = 1+{2\over30}={16\over15}$$

$$\gamma=1.067$$