Example 10: A mixture containing 50% acetone (A) and 50% water (W) is to be separated into two streams one enriched in A, the other in W. The separation process consists of extraction of the acetone from the water into methyl isobutyl ketone (M), which dissolves acetone but is nearly immiscible with water. The process is shown below. M (solvent) M (solvent) Feed 50% A, 50% W Extractor Raffinate 1 Mostly W and A Extractor Raffinate 2 93.1% Y, some M and A Extract 1 Mostly M and A Extract 2 Mostly M, same A and W Product: 97% A, 2% M, 1% W A = acetane (solute) W = water (diluent) M = MBK (solvent) Combined extract Most of A in feed, M DISTILLATION COLUMN Recovered solvent Mostly M, some A and W The acetone (solute)-water (diluent) mixture is first contacted with the M (solvent) in extraction. The mixture is separately. The phase rich in the diluent (W) is referred to as the raffinate 1, and the phase rich in the solvent (M) is the extract (extract 1). For every 100 kg of acetone-water fed to the first extraction stage, 100 kg of M is fed to the first stage and 75 kg is fed to the second stage. The extract from the first stage is found to contain 27.5% A. The second-stage raffinate has a mass of 43.1 kg and contains 5.3% A, 1.6% M, and 93.1% water, and the second-stage extract contains 9% A, 88% M, and 3% W. The overhead product from the distillation column contains 2% M, 1% W, and the balance acetone. Calculate the masses and compositions of all streams (wt%)