Consider a convergent$-$divergent nozzle with an exit$-$to$-$throat area Ae$/$A$*=3.$ A normal shock is inside the divergent portion at a location where the local area ratio is A$/$A$*=2.$ The working fluid is a perfect gas with properties of air at room temperature: specific heat ratio $1\mathrm{.}4$ and gas constant $287$ J$/($kg$$K$).$ Ambient pressure is $101\mathrm{.}325$ kPa. Calculate the ratio of exit pressure to combustion chamber pressure, Pe$/$Po$.($calculate Pe$/$Po where Po$=$Pc for no shock and with shock cases$)$