A four$-$stroke four$-$cylinder internal combustion engine has a bore of $4\mathrm{.}40$ cm and a stroke of $7\mathrm{.}77$

cm $.$ The volume at the bottom dead center is $125$ cc $.$ Assume that the engine performs an ideal

Diesel cycle with a cut$-$off ratio of $2.$ At the engine, intake air is at $300$ K and $0\mathrm{.}1$ MPa $.$ Compute

$($a$)$ the temperature and pressure at the end of each process of the cycle;

$($b$)$ the thermal efficiency;

$($c$)$ and the power produced at $2,500rpm.$

cut$-$off ratio

$r_c=\frac{V_3}{V_2}$

Relating states of equal specific entropy: $s=0$ :