At 27^@Ctwo moles of an ideal monatomic gas occupies a volume V. The gas expands adiabatically to a volume 2V. Calculatefinal temperature of the gas

At 27^@Ctwo moles of an ideal monatomic gas occupies a volume V. The g

1.	At 27^@Ctwo moles of an ideal monatomic gas occupies a volume V. The gas expands adiabatically to a volume 2V. Calculatefinal temperature of the gas
Answer» Solution :in caseof adiabaticchange`pVr = ` constantwithPV= nRT Sothat`T_(1)V_(1)^( gamma -1) = T_2V_(2)^( gamma -1)= [" with"gamma= ( 5 //3 ) ] i.e.,300 xx V^(2//3)= T ( 2V)^(2//3)` `(or)T= 300// (2)^(2//3)= 189 K`