$(6$ points$)$ An ideal Diesel cycle operates with a compression ratio of $24$ and a cutoff ratio of $1\mathrm{.}8.$ At the beginning of the compression process, the air is at $14\mathrm{.}4$ psia and $\backslash (90^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash ).$

Accounting for variable specific heats with temperature, determine:

the maximum temperature during the cycle $\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash )$

the maximum pressure during the cycle psia

the specific net work output Btu$/$lbm

the mean effective pressure $($MEP$)$ for the cycle psia

the thermal efficiency $\backslash \%$

What is the thermal efficiency of this Diesel cycle if the cold$-$air standard assumption is used? $\backslash \%$