$20$ pts$.$ An in$-$line six, $3\mathrm{.}3-$liter CI engine using light diesel fuel at an air$-$fuel ratio of $AF=20$ operates on

an air$-$standard Dual cycle. Half the fuel can be considered burned at constant volume, and half at

constant pressure with combustion efficiency of $100\%.$ Cylinder conditions at the start of compression are

$60C$ and $101$ kPa $.$ Compression ratio $rc=14$:$1.$ Calculate:

Temperature at each state of the cycle. $[$K$]$

Pressure at each state of the cycle. $[$kPa$]$

Cutoff ratio.

Pressure ratio.

Indicated thermal efficiency. $[\%]$

Heat added during combustion. $k\frac{J}{k}g$

Net indicated work. $k\frac{J}{k}g$

$10$ pts The engine in the previous problem is operated at $2000$ RPM Calculate the following:

Brake Power

Torque. $N-m$

Mechanical efficiency. $[\%]$

Brake mean effective pressure. $[$kPa$]$

Indicated specific fuel consumption. $[$gmlkW$-$hr$]$