Show that the total amount of cooling needed is the same for a column with one total condenser \(\left(Q_{c}\right)\) as for a column with a total condenser and an intermediate total condenser \(\left(\mathrm{Q}_{\mathrm{c}}+\mathrm{Q}_{\mathrm{I}}\right) . \mathrm{F}, \mathrm{z}, \mathrm{q}, \mathrm{x}_{\mathrm{D}}, \mathrm{x}_{\mathrm{B}}\), and \(\mathrm{Q}_{\mathrm{R}}\) are constant for the two cases.