Let's consider propane in the initial state

State A: PA$=109\mathrm{.}3$ kPa, VA$=0\mathrm{.}0097$ m$3/$ kg and TA$=85\mathrm{.}73\backslash$deg F$.$

The following transformations are carried out:

A to B: Reversible isothermal transformation with VB$=3\mathrm{.}4$ VA

B to C: Reversible isochoretic transformation with TC$=25\backslash$deg F

C to A: Reversible adiabatic transformation, which returns the gas to its initial conditions.

a$)$ Determine the number of moles of propane, make a table showing the values P$,$ V and T in the three states A$,$ B and C$,$ and draw the cycle on the P$-$V diagram.

b$)$ Calculate in units of the international system the W$,$ Q and the variation of internal energy in each process.

c$)$ Find the total W and Q$.$