Explain the system parameter relationships for adiabatic, isobaric & isochoric processes using the Non Flow Energy Equation in the following example.

A four stage $($closed system$)$ industrial process has initial conditions:

T$1=15$oC$,$ P$1=0\mathrm{.}1$ MPa and V$1=0\mathrm{.}3$ m$3$ where Cv $=0\mathrm{.}718$ kJ $/$ kg K and $=1\mathrm{.}3$

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The system undergoes adiabatic compression to $0\mathrm{.}20$ m$3$ followed by isobaric heating to $0\mathrm{.}26$ m$3.$ It then expands adiabatically to $0\mathrm{.}3$ m$3$ and finally returns to its initial conditions through isochoric cooling. $$

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Produce a P$-$V graph for the system showing the $4$ stages of the industrial process. Determine the work, heat and internal energy change for each stage of the process clearly labelling all of your work and calculate the overall work, heat and internal energy change for the system. Discuss the suitability of this system for use in the new prototype considering that an efficiency of $70\%$ is required.