Answer:
9.58 Kg of air has entered the tank.
heat entered=3483.76 Kilo.Joule
Explanation:
(A) R=287 Kilo.J/Kg.K
as per initial conditions P=100 Kilo.Pa ,V=2 cubic meter, T=22 C=295.15 K,
using the relation P*V=m*R*T
m=(100*1000*2)/(287*295.15)=2.36 Kg this is the mass that is already present in tank.
after filling tank at 600 Kilo.Pa.
P=600 Kilo Pa T=77 C=350.15 K
P*V=m*R*T
m=(600*1000*2)/(287*350.15)=11.94 Kg
mass that has entered=11.94-2.36=9.58 Kg
(b) using air psychometric property table
specific heat content initial 100 KILO Pa and 22 C=295.576 Kilo.Joule/Kg
specific heat content final 600 Kilo Pa and 77 C=350.194 Kilo.Joule/Kg
heat at initial stage=295.576*2.36=697.56 Kilo.Joule
heat at final stage=350.194*11.94=4181.32 Kilo.Joule
heat entered=4181.32-697.56=3483.76 Kilo.Joule
