$(20$ points$)$ An in$-$line six $3\mathrm{.}5$ liter Cl engine using light diesel fuel $(LHV=42,500k\frac{J}{k}g)$ at an air$-$fuel ratio of $AF=20$ operates on an air$-$standard Dual cycle. Half of the fuel can be considered burned at constant volume, and half at constant pressure. Cylinder conditions at the start of compression are $60C$ and $101$ kPa $.$ The compression ratio is $14$:$1$ and the ratio of specific heats can be assumed to be $=1\mathrm{.}35.$

$[10$ points$]$ What is the temperature are each state in $K.$

T$1=$

$K,T2=$

K$,$ T$3$a $=$

$K,T3b=$

K$,$ T$4=$

$2.[5$ points$]$ What is the pressure at each state in $[$kPa$]$

P$1=$

kPa, P$2=$

kPa, P$3$a $=$

kPa,$P3b=$

kPa, P$4=$

kPa

$3.[5$ points$]$ What is the net indicated work in $k\frac{J}{k}g.$

Wnet $=$