Question $4$

Given air undergoes following cycle with three processes in a piston$-$cylinder device:

$(20$ points$)$

i$.$ Isentropic compression of the atmospheric air at $300$ K to $1$ MPa $.$

ii$.$ Isobaric heat addition of $416$ kJ $.$

iii. Heat rejection according to the correlation for pressure, P$=$C$\_(1)*$v$+$C$\_(2)$ where C$\_(1)$ and C$\_(2)$ are some

constants, until the whole system returns to the initial state.

The amount of air in the piston$-$cylinder device is $0\mathrm{.}5$ kg $.$

determine the amount of net cycle work