Mass Transfer
At minimum reflux ratio for a given separation

Number of plates is zero
Minimum number of the theoretical plates is required
Separation is most efficient
Number of plates is infinity

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Mass Transfer
An aqueous solution of methanol is to be distilled in a tray column. High pressure steam is available as a source of heat. For a given reflux ratio and overhead composition, two options are being explored; (i) a reboiler is used and (ii) no reboiler is used but steam is fed directly to the bottom of the column. As compared to option (i), in option (ii)

Composition of the residue remains unchanged
Less number of trays are required
More number of trays are required but the residue composition remains unchanged
More number of trays are required and the residue composition is more dilute in methanol

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