1 kmol of N2 gas (ideal) is contained in a piston initially at 300K with a volume of 0.1 m^3. The piston cylinder is well insulated. A microwave gun then heats the gas for 30 seconds, where the poser of the microwave gun is 10 MW and the absortion coefficient of the gas is sigma= 0.1. During the microwave heating the N2 gas expands at a constant pressure.
a.) What is the initial pressure of the gas?
b.) What is the final temperature of the gas assuming the heat capacity is a constant?
c.) What is the final temperature from the change in enthalpy?
d.) What is the volume of the gas after heating?
e.) What is the change in entropy using the 1st TdS Relation? assuming Cv(T)=Cv(T1)
f.) What is the change in entropy using the 2nd TdS Relation? assuming Cp(T)=Cp(T1)
g.) What is the change in entropy using the 2nd TdS Relation? assuming Cp(T)=(Cp(T1)+Cp(T2))/2
h.) What is the change in entropy using the 2nd TdS Relation? using Ss and S1
i.) What is the work done by the gas?