An ideal gas having initial pressure P, volume Vand temperature T is allowed to expand adiabatically until its volume becomes 5.66 V while the temperature falls to T/2. How many degrees of freedom do the gas molecule have ?

An ideal gas having initial pressure P, volume Vand temperature T is a

1.	An ideal gas having initial pressure P, volume Vand temperature T is allowed to expand adiabatically until its volume becomes 5.66 V while the temperature falls to T/2. How many degrees of freedom do the gas molecule have ?
Answer» Solution :`(T_(2) //T_(1)) = (V _(1) //V _(2)) ^( gamma -1) , (1//2) = (1//5 . 66) ^( gamma -1) , gamma =1 .4,` Number of degrees of FREEDOM `= f = 2 //(gamma -1)= 2//(1.4 - 1) = 5`