An ideal gas at pressure 2.5 × 10 5 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.

Question

Philoid · Accepted Answer

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

(a)Since it is an adiabatic process, So PV^γ = const.

I.e.

(b) Also for an adiabatic process, TV^{γ -1}=constant

I.e.

(c) Work done by the gas in the process

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.

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.