An air-standard Diesel cycle has a compression ratio of $18.2$. Air is at $80^{\circ} \mathrm{F}$ and $14.7 \mathrm{~psia}$ at the beginning of the compression process and at $3000 \mathrm{~R}$ at the end of the heataddition process. Accounting for the variation of specific heats with temperature, Find $(a)$ the cutoff ratio, $(b)$ the heat rejection per unit mass, and $(c)$ the thermal efficiency.