An in$-$line six, $3\mathrm{.}3-$liter CI engine using light diesel fuel at an air$-$fuel ratio of $\backslash (\backslash$mathrm$\{$AF$\}=20\backslash )$ 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 $\backslash (100\backslash \%\backslash ).$ Cylinder conditions at the start of compression are $\backslash (60^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $101$ kPa $.$ Compression ratio $\backslash (\backslash$mathrm$\{$rc$\}=14$: $1\backslash ).$ Calculate:

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

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

$-$ Cutoff ratio.

$-$ Pressure ratio.

$-$ Indicated thermal efficiency. $[\backslash \%]$

$-$ Heat added during combustion. $\backslash ([\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}]\backslash )$

$-$ Net indicated work. $\backslash ([\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}]\backslash )$

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

$-$ Brake Power

$-$ Torque. $[$N$-$m$]$

$-$ Mechanical efficiency. $[\backslash \%]$

$-$ Brake mean effective pressure. $\backslash ([\backslash$mathrm$\{$kPa$\}]\backslash )$

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