A continuous distillation column is used to produce an 85% ABV spirit as distillate product from an 8% ABV wash. Reflux is established through a partial condenser, also known as dephlegmator, using the wash as the cooling fluid in the partial condenser. The wash is supplied at 50 kmol/h at an initial temperature of 20 C, and leaves the partial condenser at 75 C. The pre-heated wash is then heated further up to its bubble point using steam, before being fed into the column. The bottom product contains 0.2 mol% ethanol (0.65% ABV). Use assumptions where required, and provide justification.

Calculate the heat flow rate transferred from condensing vapour to the wash within the dephlegmator. If no sensible answer was found, assume the wash to be only water.