An ideal gas at pressure 2.5 × 105 Pa and temperature 300K occupies 100 cc. It is adiabatically compressed to half its original volume. Calculate

(a) the final pressure,

(b) the final temperature and

(c) the work done by the gas in the process. Take γ = 1.5.

Here given, P1 = 2.5 × 105 Pa, V1 = 100 cc, T1 = 300 K, V2=50 cc

(a)Since it is an adiabatic process, So PVγ = const.


(b) Also for an adiabatic process, TVγ -1=constant


(c) Work done by the gas in the process