The work required to compress 2 kg of air in an insulated cy

The work required to compress 2 kg of air in an insulated cylinder from 100°C and 100 kPa to 600 kPa is nearest:

Mdot = 2 kg . P1 = 100kPa P2= 600KpA . the process canbe considered as asiabatic compression

E1 - Eout = 0

mdot x h1 + Win = mdotx h2

therfore Win = mdot(h2-h1)

= mdot Cp ( T2-T1)

k = Cp/Cv is taken as 1.4

T2 = T1x ( P2/P1)^(k-1/k) = 373 x( 600/100)0.2857 = 622.3 K

W in = mdot x Cp ( T2-T1)

= 2 x 1.013 x (622.3-373) = 505.08 kW