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plz find the solution for question Question 2 For a mixture of Acetone in Water

ID: 570774 • Letter: P

Question

plz find the solution for question

Question 2 For a mixture of Acetone in Water 1) Calculate the vapour pressures of each component over this mixture over the range between their boiling points IS Marks) ex-y and T-x-y diagrams 6 Marks] Calculate the relative volatility at each temperature condition and comment on the values for this system and the significance of relative volatility for the prediction of separation. 3) 4 Marks) A bottom composition of 10 mol % Acetone and a top composition of 90 mol% acetone is desired. Using the Fenske-underwood equation, determine the number of minimum ideal plates required for this separation. 4) [5 Marks] 5) if a Feed stream containing 60 mol% Acetone enters the column at its boling point caculate the minimum reflux ratio for the operation using the Underwood equation. [5 Marks] Total 25 Marks Table 2: Antoine equation constants taken from R. Felder, R. Rousseau, Elementary Principles of Chemical Processes, 2nd ed. 1161.00 1668.21 224.0 228.0 Acetone 7.02447 Water (above 60 C) Antoine equation logP = A-T+C Where: P. = vapour pressure in mmHg T= Temperature in °C

Explanation / Answer

1) Given that LogP* = A - B/T+C

The boiling point of acetone = 56 oC

The boiling point of water = 100 oC

For acetone

LogP* = 7.02447 - 1161/56+224

i.e. LogP* = 2.878

i.e. P* = 102.878 = 755.16 mm Hg

Note: 1 atm = 760 mm Hg

Therefore, P*acetone = 0.994 atm

For water

LogP* = 7.96681 - 1668.21/100+228

i.e. LogP* = 2.8808

i.e. P* = 102.8808 = 759.98 mm Hg

Therefore, P*water ~ 1 atm