The process shown is dehydrogenation of propane to propylene. C$3$H$8->$ C$3$H$6+$H$2.$ The overall conversion of propane is $100\%$ and a fresh feed rate of $3000$ kg$/$hr of pure C$3$H$8$ is supplied to process, steady state. a$)$ completely label the process flow diagram $($all flow rates and compositions$).$ b$)$ How many more design criteria are needed to fully specify the process $($how much more info needed$)?$ c$)$ Given this list of design criteria$=$ A$-$Composition of recycle is $10\%$ mol C$3$H$8,$ B$-$All hydrogen leaves product stream, C$-$Single pass conversion is $51\%,$ D$-$Ratio of recycle to fresh feed flow rate is $4$:$1.$ Indicate which constraints you wish to use to fulfill degrees of freedom and use them to calculate the molar flow rates of each stream in process and molar compositions in the process. SOLVE FOR Total Mole Flow Rates $($n$1,$n$2,$n$3,$n$4,$n$5)$ and the molar compositions of C$3$H$8,$ C$3$H$6,$ and H$2$ in stream $1,2,3,4$ and $5.$