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Common Data for Questions 58 and 59:
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.
Y = mass of C/mass of A and X = mass of C/mass of B.
Q.
The minimum flow rate of solvent B required (in kg/h) is
- a)1454
- b)1584
- c)1676
- d)1874
Correct answer is option 'B'. Can you explain this answer?
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Common Data for Questions 58 and 59:A counter-current extraction colum...
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Common Data for Questions 58 and 59:A counter-current extraction colum...
Given data:
- Initial concentration of solute C in solution A is 20 wt%
- Total flow of solution is 1000 kg/h
- Equilibrium relationship: Y = 2X, where Y is mass of C/mass of A and X is mass of C/mass of B
To find:
Minimum flow rate of solvent B required (in kg/h)
Approach:
To remove 99% of solute C from solution A, we need to design a counter-current extraction column using pure solvent B. In this column, solute C will be transferred from solution A to solvent B.
We need to determine the minimum flow rate of solvent B required to achieve this separation.
Solution:
Step 1: Calculation of mass flow rate of solute C in solution A
Given that the total flow rate of solution is 1000 kg/h and the initial concentration of solute C in solution A is 20 wt%, we can calculate the mass flow rate of solute C in solution A as follows:
Mass flow rate of solute C in solution A = Total flow rate of solution * Concentration of solute C in solution A
= 1000 kg/h * 0.20
= 200 kg/h
Step 2: Calculation of mass flow rate of solute C in solvent B
Using the equilibrium relationship Y = 2X, we can relate the mass of solute C in solution A (Y) to the mass of solute C in solvent B (X).
Given that we want to remove 99% of solute C from solution A, the final concentration of solute C in solution A will be 1% of its initial concentration. Therefore, the mass flow rate of solute C in solvent B can be calculated as follows:
Mass flow rate of solute C in solvent B = Mass flow rate of solute C in solution A * (1 - Final concentration of solute C in solution A)
= 200 kg/h * (1 - 0.01)
= 200 kg/h * 0.99
= 198 kg/h
Step 3: Calculation of mass flow rate of solvent B
The equilibrium relationship Y = 2X indicates that the mass flow rate of solute C in solvent B is twice the mass flow rate of solute C in solution A.
Therefore, the mass flow rate of solvent B can be calculated as:
Mass flow rate of solvent B = Mass flow rate of solute C in solvent B / X
= 198 kg/h / 0.99
= 200 kg/h
Conclusion:
The minimum flow rate of solvent B required to remove 99% of solute C from solution A is 200 kg/h. Therefore, the correct answer is option B (1584 kg/h).
- Initial concentration of solute C in solution A is 20 wt%
- Total flow of solution is 1000 kg/h
- Equilibrium relationship: Y = 2X, where Y is mass of C/mass of A and X is mass of C/mass of B
To find:
Minimum flow rate of solvent B required (in kg/h)
Approach:
To remove 99% of solute C from solution A, we need to design a counter-current extraction column using pure solvent B. In this column, solute C will be transferred from solution A to solvent B.
We need to determine the minimum flow rate of solvent B required to achieve this separation.
Solution:
Step 1: Calculation of mass flow rate of solute C in solution A
Given that the total flow rate of solution is 1000 kg/h and the initial concentration of solute C in solution A is 20 wt%, we can calculate the mass flow rate of solute C in solution A as follows:
Mass flow rate of solute C in solution A = Total flow rate of solution * Concentration of solute C in solution A
= 1000 kg/h * 0.20
= 200 kg/h
Step 2: Calculation of mass flow rate of solute C in solvent B
Using the equilibrium relationship Y = 2X, we can relate the mass of solute C in solution A (Y) to the mass of solute C in solvent B (X).
Given that we want to remove 99% of solute C from solution A, the final concentration of solute C in solution A will be 1% of its initial concentration. Therefore, the mass flow rate of solute C in solvent B can be calculated as follows:
Mass flow rate of solute C in solvent B = Mass flow rate of solute C in solution A * (1 - Final concentration of solute C in solution A)
= 200 kg/h * (1 - 0.01)
= 200 kg/h * 0.99
= 198 kg/h
Step 3: Calculation of mass flow rate of solvent B
The equilibrium relationship Y = 2X indicates that the mass flow rate of solute C in solvent B is twice the mass flow rate of solute C in solution A.
Therefore, the mass flow rate of solvent B can be calculated as:
Mass flow rate of solvent B = Mass flow rate of solute C in solvent B / X
= 198 kg/h / 0.99
= 200 kg/h
Conclusion:
The minimum flow rate of solvent B required to remove 99% of solute C from solution A is 200 kg/h. Therefore, the correct answer is option B (1584 kg/h).
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Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer?
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Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer?.
Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer?.
Solutions for Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Common Data for Questions 58 and 59: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.The minimum flow rate of solvent B required (in kg/h) isa)1454b)1584c)1676d)1874Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
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