A mixture of components $1$ & $2$ are fed to the column at F kmol$/$h$,$ with mole fraction x$1$F and state q$.$ The column has an internal diameter of DC m and contains NR plates in the rectifying section with a plate efficiency of $.$ The column operates at an absolute pressure of PC bar.

Vapour leaves the top of the column at V kmol$/$h and passes through a partial condenser. The condenser works by vaporising a propane refrigerant, which is maintained at pressure Pp bar with resultant temperature Tp $\backslash$deg C$.$ Top product leaves at D kmol$/$h and a composition of y$1$D$,$ whilst the reflux stream is returned as a saturated liquid to the top of the column at L kmol$/$h$.$ The reflux ratio, R$,$ is defined as L$/$D$.$ At the bottom of the column some of the liquid leaving passes through a reboiler with a duty of QB kW$,$ giving a saturated vapour flow of V$$ kmol$/$h back into the column. Bottom product passes through a control valve with a flow coefficient

CV and downstream pressure of P$0$ bar $($absolute$),$ at a flowrate of W kmol$/$h with a molar composition of x$1$W$.$ The primary measured parameters used for process control are Pp at the top of the column and Tb at the bottom.

Liquid feed and product streams can be assumed to have a latent heat, $$avg of $12,000$ kJ$/$kmol$,$ a density $$avg of $700$ kg$/$m$3$ and molecular weight, Mavg of $100$ g$/$mol$,$ and a viscosity comparable to water. The flow valve has a maximum flow coefficient $($US$)$ CV value of $12.$

The values assign are

F$($kmol$/$hr$)150,$ X$1$F $0\mathrm{.}45,$ q $0\mathrm{.}67,$ Dc$($m$)0\mathrm{.}40,$ Pc$($bar$)30\mathrm{.}2,$ Qb$($kw$)935,$ Po$($bar$)17\mathrm{.}9,$ Z $0\mathrm{.}94,$ A$16\mathrm{.}82,$ B$1605\mathrm{.}1,$ C$1255\mathrm{.}48,$ A$26\mathrm{.}80,$ B$2655\mathrm{.}8,$ C$2237\mathrm{.}71,$ R $3\mathrm{.}8$

Task

You should use the template to present your answers to the following questions:

$1.$ With your individual data, calculate y$1$D$,$ D$,$ W$,$ xW$,$ Tt$,$ Tb$,$ Pp$,$ Tp and CV$.$

$2.$ Recalculate the output values from Question $1$ when your QB value changes by i$)+40\%,$ ii$)+70\%,$ iii$)-30\%$

$3.$ Recalculate the output values from Question $1$ when your x$1$F value changes by i$)+0\mathrm{.}2,$ ii$)-0\mathrm{.}2$

$4.$ Recalculate the output values from Question $1$ when your q value changes by i$)+0\mathrm{.}5,$ ii$)-0\mathrm{.}5$

$5.$ Recalculate the output values from Question $1$ when your reflux ratio, R is changed to i$)7,$ ii$)10,$ iii$)$ it$$s minimum at your QB value

$6.$ Recalculate the output values from Question $1$ when the column pressure, PC changes by i$)+7$ bar, ii$)3$ bar

$7.$ Calculate the minimum column pressure, PC needed to allow the feed flowrate, F to increase by $130\%,$ and the corresponding change in column conditions.

$8.$ Calculate the pressure and temperature set$-$points Pp and Tt to give y$1$D $=0\mathrm{.}80$ and x$1$W$=0\mathrm{.}25,$ and the corresponding reflux ratio.