$($a$)$ An air$-$standard Diesel cycle has a compression ratio of $18$ and

cutoff ratio of $2.$ At the beginning of the compression process, alt he $100$kPa,$27C$ and $1917c{m}^3.$ Accounting for constant spectic heats with temperature,

Determine:

$($i$)$ The temperature and pressure of air at the end of each process.

$($ii$)$ The thermal efficiency.

$($iii$)$ The mean effective pressure.