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Common Data Questions: 58 and 59
A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.
Q.
The value of CR in mg/L, up to one digit after the decimal point, is
Important : you should answer only the numeric value
Correct answer is '3.26'. Can you explain this answer?
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Common Data Questions: 58 and59A reverse osmosis unit treats feed wate...
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Common Data Questions: 58 and59A reverse osmosis unit treats feed wate...
Given information:
- Feed water (F) contains fluoride with concentration CF = 2 mg/L.
- Permeate stream (P) has a fluoride concentration CP = 0.1 mg/L.
- Reject stream (R) has a volumetric flow rate of 60% of the inlet stream.
- The question asks for the concentration of fluoride in the reject stream, CR.
Approach:
To find the concentration of fluoride in the reject stream, we can use the mass balance principle. According to the principle, the mass of fluoride in the feed water should be equal to the sum of the mass of fluoride in the permeate stream and the reject stream.
Mass balance equation:
Mass of fluoride in feed water = Mass of fluoride in permeate stream + Mass of fluoride in reject stream
Calculating the masses of fluoride:
- Mass of fluoride in feed water = CF * Volumetric flow rate of feed water = 2 * F
- Mass of fluoride in permeate stream = CP * Volumetric flow rate of permeate stream = 0.1 * P
- Mass of fluoride in reject stream = CR * Volumetric flow rate of reject stream = CR * 0.6 * F
Applying the mass balance equation:
2 * F = 0.1 * P + CR * 0.6 * F
Simplifying the equation:
2 = 0.1 * (P/F) + 0.6 * CR
Substituting the given values:
2 = 0.1 * (0.1/2) + 0.6 * CR
2 = 0.005 + 0.6 * CR
1.995 = 0.6 * CR
Solving for CR:
CR = 1.995 / 0.6
CR ≈ 3.325
Rounding CR to one decimal place:
CR ≈ 3.3
Therefore, the value of CR in mg/L, up to one digit after the decimal point, is 3.3.
- Feed water (F) contains fluoride with concentration CF = 2 mg/L.
- Permeate stream (P) has a fluoride concentration CP = 0.1 mg/L.
- Reject stream (R) has a volumetric flow rate of 60% of the inlet stream.
- The question asks for the concentration of fluoride in the reject stream, CR.
Approach:
To find the concentration of fluoride in the reject stream, we can use the mass balance principle. According to the principle, the mass of fluoride in the feed water should be equal to the sum of the mass of fluoride in the permeate stream and the reject stream.
Mass balance equation:
Mass of fluoride in feed water = Mass of fluoride in permeate stream + Mass of fluoride in reject stream
Calculating the masses of fluoride:
- Mass of fluoride in feed water = CF * Volumetric flow rate of feed water = 2 * F
- Mass of fluoride in permeate stream = CP * Volumetric flow rate of permeate stream = 0.1 * P
- Mass of fluoride in reject stream = CR * Volumetric flow rate of reject stream = CR * 0.6 * F
Applying the mass balance equation:
2 * F = 0.1 * P + CR * 0.6 * F
Simplifying the equation:
2 = 0.1 * (P/F) + 0.6 * CR
Substituting the given values:
2 = 0.1 * (0.1/2) + 0.6 * CR
2 = 0.005 + 0.6 * CR
1.995 = 0.6 * CR
Solving for CR:
CR = 1.995 / 0.6
CR ≈ 3.325
Rounding CR to one decimal place:
CR ≈ 3.3
Therefore, the value of CR in mg/L, up to one digit after the decimal point, is 3.3.
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Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer?
Question Description
Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. 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 Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. 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 Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer?.
Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. 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 Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. 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 Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer?.
Solutions for Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Here you can find the meaning of Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer?, a detailed solution for Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer? has been provided alongside types of Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Common Data Questions: 58 and59A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let CF, CP, and CR denote the fluoride concentrations in the feed, permeate, and reject streams, respectively. Under steady state conditions, the volumetric flow rate of the reject is 60 % of the volumetric flow rate of the inlet stream, and CF = 2 mg/L and CP =0.1 mg/L.Q.The value of CR in mg/L, up to one digit after the decimal point, isImportant : you should answer only the numeric valueCorrect answer is '3.26'. Can you explain this answer? tests, examples and also practice GATE tests.
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