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Can you explain the answer of this question below:
A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt % and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , where
Y = mass of C/mass of A and X = mass of C/mass of B.
Q.
If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, using
Kremser’s equation (adjusted to the next integer) is
 
Correct answer will be updated soon
  • A:
    5
  • B:
    9
  • C:
    11
  • D:
    13
The answer is A.
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Can you explain the answer of this question below:A counter-current ex...
The Kremser equation for a counter-current extraction column is:

N = log[((1-Y)/(1-X)) / ((Y/X)-1)] / log(R)

Where N is the number of theoretical stages, Y and X are the equilibrium concentrations of solute C in the solution of A and solvent B, respectively, and R is the ratio of flow rates of the two phases.

In this problem, we are given:

- Y = 2X (equilibrium relationship)
- X = 0 (pure solvent B)
- C0 = 20 wt% (initial concentration of solute in solution A)
- F0 = 1000 kg/h (total flow rate of solution A and solute C)
- FB = 2400 kg/h (flow rate of solvent B)

Using these values, we can calculate the ratio of flow rates:

R = F0/FB = 1000/2400 = 0.4167

Next, we need to calculate the equilibrium concentration of solute C in the solution of A:

Y = 2X = 2(0) = 0

This means that all the solute C is in the solvent B phase and none is in the solution of A.

Now we can use the Kremser equation to calculate the theoretical number of stages:

N = log[((1-0)/(1-0)) / ((0/0)-1)] / log(0.4167) = log(1) / log(0.4167) = 2.40

Therefore, the theoretical number of stages in the column using Kremser is 2.40 or approximately 3 stages.
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Can you explain the answer of this question below:A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt % and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , whereY = mass of C/mass of A and X = mass of C/mass of B.Q.If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, usingKremser’s equation (adjusted to the next integer) isCorrect answer will be updated soonA:5B:9C:11D:13The answer is A.
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Can you explain the answer of this question below:A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt % and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , whereY = mass of C/mass of A and X = mass of C/mass of B.Q.If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, usingKremser’s equation (adjusted to the next integer) isCorrect answer will be updated soonA:5B:9C:11D:13The answer is A. for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Can you explain the answer of this question below:A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt % and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , whereY = mass of C/mass of A and X = mass of C/mass of B.Q.If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, usingKremser’s equation (adjusted to the next integer) isCorrect answer will be updated soonA:5B:9C:11D:13The answer is A. covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt % and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , whereY = mass of C/mass of A and X = mass of C/mass of B.Q.If the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, usingKremser’s equation (adjusted to the next integer) isCorrect answer will be updated soonA:5B:9C:11D:13The answer is A..
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