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A methanol (A) - water (B) solution containing \( 50 \mathrm{wt} \% \) methanol at \( 26.7^{\circ} \mathrm{C} \) is to be continuously rectified at 1 std atm pressure at a rate of \( 5000 \mathrm{~kg} / \mathrm{h} \) to provide a distillate containing \( 95 \% \) methanol and a residue containing \( 1.0 \% \) methanol (by weight). The feed is to be preheated by heat exchange with the residue, which will leave the system at \( 37 \cdot 8^{\circ} \mathrm{C} \). The distillate is to be totally condensed to a liquid and the reflux returned at a bubble point. The withdrawn distillate will be separately collected before storage. A reflux ratio of 1.5 times the minimum will be used. Determine (i) quantity of product, (ii) enthalpy of feed and of product, (iii) minimum reflux ratio, and (iv) minimum number of theoretical trays.