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A distillation column separates 10000 kg / hr of a mixture containing equal mass of benzene and toluene. The product D recovered from the condenser at the top of the column contains 95 % benzene, and the bottom W from the column contains 96 % toluene. The vapor V entering the condenser from the top of the column is 8000 kg / hr. A portion of the product from the condenser is returned to the column as reflux R, and the rest is withdrawn as the final product D. Assume that V, R, and D are identical in composition since V is condensed completely. Find the ratio of the amount refluxed R to the product withdrawn D. Hint : Solve the simultaneous equations as follow in order to find the answer (R / D) : 10000 = D + W; 10000 (0.5) = D (0.95) + W (0.04); 8000 = R + D.
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Answer Posted / ak
Overall Process Balance : 10,000 = D + W. (1)
Benzene Balance : 10,000(0.50) = D (0.95) + W (0.04).(2)
Condenser Balance : 8000 = R + D (3)
Solving two simultaneous equations(1) and (2) we get ,
D = 5055 kg / hr; and W = 4945 kg / hr.
Solving for R using eq (3) : 8000 = R + D; we get R = 2945 kg / hr.
Answer : Ratio R / D = (2945 / 5055) = 0.58.
| Is This Answer Correct ? | 27 Yes | 3 No |
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