: An ideal air$-$standard Otto cycle engine has a compression ratio of $8.$ At the beginning of the compression process, the working fluid is at $100$ kPa, $27\backslash$deg C $(300$ K$),$ and $800$ kJ$/$kg heat is supplied during the constant volume heat addition process. Neatly sketch the pressure$-$volume $[$P$-$v$]$ diagram for this cycle, and using the specific heat values for air at a typical average cycle temperature of $900$K determine:a$)$ the temperature and pressure of the air at the end of each processb$)$ the net work output$/$cycle $[$kj$/$kg$],$ andc$)$ the thermal efficiency $[$th$]$ of this engine cycle.$($specific heat capacity values used for air at $300$K are Cv $=0\mathrm{.}717$ kJ$/$kg$.$K$,$ and k $=1\mathrm{.}4)($specific heat capacity values used for air at $900$K are CV $=0\mathrm{.}834$kJ$/$kg$.$K and k $=1\mathrm{.}344)$B:The pressure and temperature at the beginning of compression of an air$-$standard diesel cycle are $95$kPa and $300$K$,$ respectively. At the end of the heat addition, the pressure is $7\mathrm{.}2$MPa and the temperature is $2159$K$.$ Determinea$)$the compression ratiob$)$ the cut$-$off ratio c$)$ net cycle work kJ$/$kg d$)$ thermal efficiency of the cycle,e$)$ the mean effective pressure in kPa