This problem concerns a batch distillation at constant reflux ratio. A mixture of $A+B$ is to be distilled

in a batch column with $3$ trays and a total condenser. The VLE data is attached. The reflux ratio is to be

$2\mathrm{.}4.$ The initial concentration is $xA=0\mathrm{.}6.$ Initially there are $100$ moles.

Use the following steps to determine the quantity of product that can be obtained such that $($:$xD$:$)=0\mathrm{.}9.$

a$)$ Select several XD compositions and carefully plot the rectifying lines. Select XD compositions such that

at least one value results in $xA>xA0.$ The diagram will be crowded. Submit your diagram. Optionally

make different plots for each $xD.$

b Interpolate to find the appropriate xD that would correspond to XAo and use this as the initial point of

the integration. Determine the integration area using the trapezoidal rule to find $W$ and as a

function of $xA.$ Tabulate the results.

c$)$ Interpolate in the table to find the desired $D$ and $W$ and $xW$ such that $($:$xD$:$)=0\mathrm{.}9.$ Report the recovery

of $A$ in the distillate as a fraction relative to the initial pot contents.

This problem concerns a batch distillation where xD is maintained constant and reflux ratio is varied.

A mixture of $A+B$ is to be distilled in a batch column with $3$ trays and a total condenser. The VLE data is

attached. The initial concentration is $xA=0\mathrm{.}6.$ Initially there are $100$ moles. Use the following steps to

determine the quantity of product that can be obtained such that $xD=0\mathrm{.}9$ by varying reflux ratio during

distillation to hold xD constant during the batch distillation.

a$)$ Make a sorted table of $R$ vs$.xA$ for $xD=0\mathrm{.}9$ such that the distillation ends when $R=5.$ Select one $R$ such

that $xA$ is slightly above XAo to use for interpolation at xAo in the next part of the problem. Precision

may be best by choosing a $y-$intercept for the rectifying and line and then calculating the corresponding

$R.$ The highest reflux to be used is $R=5.$ Use care when drawing operating lines and stepping stages. The

diagram will be crowded, include your $y-$x plot. It is optional to include extra plot copies if you would like

use multiple plots for the various reflux ratios.

b$)$ Interpolate from the table to find the initial value of R that should be used for XAo. Using the

interpolated row as the start of the distillation, add to the table the calculated values for W and D$.$

Create a plot of $R($y axis$)$ vs$.D($x axis$)$ such that an operator could adjust $R$ using the quantity of

collected $D$ as a guide during operation. The distillation is to stop when $R=5.$

c$)$ Report the recovery of $A$ in the distillate as a fraction of the $A$ in the initial pot contents.