Problem #$2$: $(40$ pts$.)$

A quantity of $0\mathrm{.}4m^3$ of air $(R=0\mathrm{.}287K\frac{J}{K}gK),$ contained in a piston$-$cylinder assembly at a pressure of $0\mathrm{.}2$ MPa and temperature of $27C($degrees Celsius$),$ undergoes two processes in series.

Process $1-2$; A constant Pressure expansion until its volume triples.

Process $2-3$: An Isothermal expansion until its volume doubles.

Assuming ideal gas behavior for the air, Determine:

a$)$ Complete the Property table below $(10$ points$)$

b$)$ The total amount of heat transfer, in KJ $(10$ points$)$

c$)$ The total work in KJ$.(10$ points$)-10)$

d$)$ Sketch the processes on a $P-v$ and a T$-$v diagram. $(10$ points$)$

$(-2)$

Shith

Friction between the piston and the cylinder wall, kinetic and potential energy effects are negligible.