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A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to be
- a)H = 60, Q = 120
- b)H = 120, Q = 120
- c)H = 60, Q = 480
- d)H= 120, Q = 30
Correct answer is option 'B'. Can you explain this answer?
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A centrifugal pump running at 500 rpm and at its maximum efficiency is...
We also know that specific speed will be constant.
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A centrifugal pump running at 500 rpm and at its maximum efficiency is...
Given information:
- Centrifugal pump speed (N1) = 500 rpm
- Maximum efficiency at N1
- Head (H1) = 30 m
- Flow rate (Q1) = 60 L/min
Required information:
- Head (H2) and flow rate (Q2) at maximum efficiency when speed (N2) = 1000 rpm
Assumptions:
- The pump operates within its design limits and the performance is not affected by other factors such as cavitation.
Explanation:
1. Relationship between head, speed, and flow rate:
- The head, flow rate, and speed of a centrifugal pump are related by the affinity laws.
- According to the affinity laws, the head is proportional to the square of the speed, while the flow rate is directly proportional to the speed.
2. Affinity laws:
The affinity laws for centrifugal pumps are given by the following equations:
- Head ratio (H2/H1) = (N2/N1)^2
- Flow rate ratio (Q2/Q1) = N2/N1
3. Calculating head at N2:
Using the affinity law equation for the head ratio:
- (H2/30) = (1000/500)^2
- H2 = 30 * (1000/500)^2
- H2 = 30 * 4
- H2 = 120 m
4. Calculating flow rate at N2:
Using the affinity law equation for the flow rate ratio:
- (Q2/60) = 1000/500
- Q2 = 60 * (1000/500)
- Q2 = 60 * 2
- Q2 = 120 L/min
Conclusion:
At maximum efficiency, when the speed is changed from 500 rpm to 1000 rpm, the estimated values for head (H2) and flow rate (Q2) are:
- H2 = 120 m
- Q2 = 120 L/min
Therefore, the correct answer is option 'B' (H = 120, Q = 120).
- Centrifugal pump speed (N1) = 500 rpm
- Maximum efficiency at N1
- Head (H1) = 30 m
- Flow rate (Q1) = 60 L/min
Required information:
- Head (H2) and flow rate (Q2) at maximum efficiency when speed (N2) = 1000 rpm
Assumptions:
- The pump operates within its design limits and the performance is not affected by other factors such as cavitation.
Explanation:
1. Relationship between head, speed, and flow rate:
- The head, flow rate, and speed of a centrifugal pump are related by the affinity laws.
- According to the affinity laws, the head is proportional to the square of the speed, while the flow rate is directly proportional to the speed.
2. Affinity laws:
The affinity laws for centrifugal pumps are given by the following equations:
- Head ratio (H2/H1) = (N2/N1)^2
- Flow rate ratio (Q2/Q1) = N2/N1
3. Calculating head at N2:
Using the affinity law equation for the head ratio:
- (H2/30) = (1000/500)^2
- H2 = 30 * (1000/500)^2
- H2 = 30 * 4
- H2 = 120 m
4. Calculating flow rate at N2:
Using the affinity law equation for the flow rate ratio:
- (Q2/60) = 1000/500
- Q2 = 60 * (1000/500)
- Q2 = 60 * 2
- Q2 = 120 L/min
Conclusion:
At maximum efficiency, when the speed is changed from 500 rpm to 1000 rpm, the estimated values for head (H2) and flow rate (Q2) are:
- H2 = 120 m
- Q2 = 120 L/min
Therefore, the correct answer is option 'B' (H = 120, Q = 120).
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A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to bea)H = 60, Q = 120b)H = 120, Q = 120c)H = 60, Q = 480d)H= 120, Q = 30Correct answer is option 'B'. Can you explain this answer?
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A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to bea)H = 60, Q = 120b)H = 120, Q = 120c)H = 60, Q = 480d)H= 120, Q = 30Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to bea)H = 60, Q = 120b)H = 120, Q = 120c)H = 60, Q = 480d)H= 120, Q = 30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to bea)H = 60, Q = 120b)H = 120, Q = 120c)H = 60, Q = 480d)H= 120, Q = 30Correct answer is option 'B'. Can you explain this answer?.
A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to bea)H = 60, Q = 120b)H = 120, Q = 120c)H = 60, Q = 480d)H= 120, Q = 30Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to bea)H = 60, Q = 120b)H = 120, Q = 120c)H = 60, Q = 480d)H= 120, Q = 30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30 m at a flow rate of 60 liters per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to bea)H = 60, Q = 120b)H = 120, Q = 120c)H = 60, Q = 480d)H= 120, Q = 30Correct answer is option 'B'. Can you explain this answer?.
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