You are separating a mixture of isopropanol and water by distillation. The distillation column has a total condenser and a partial reboiler. The feed flow rate is $50$ kmol$/$hr and the feed is $30$mol$\%$ isopropanol. A bottoms composition of $1$mol$\%$ isopropanol is produced, and a

distillate composition of $64$mol$\%$ isopropanol is produced. This system can be assumed to perfectly obey constant molal overflow, such that all saturated liquids have the same enthalpy $($which can be taken as $0$ kJ$/$mol$).$ All saturated vapors have the same enthalpy of $40$ MJ$/$kmol$.$

a$)$ what are the distillate and bottoms flow rates?

$D=$

$B=$

If the column is always operated at $1\mathrm{.}2x$ the minimum reflux ratio, complete the table below for the different feed conditions given. Keep digits all the way through, round off Qc and Qr to nearest $1$ MJ$/$hr $($Hint $-$ set this up in Excel, and add columns for the intermediate results$)$