Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >   A single stage centrifugal pump runs at 500 ... Start Learning for Free
A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.
  • a)
    1977 rpm, 4.418 m3/min, 13.51 m
  • b)
    1977 rpm, 13.51 m3/min, 4.418 m
  • c)
    197.7 rpm, 1.35 m3/min, 4.41 m
  • d)
    441 rpm, 19.7 m3/min, 13.51 m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄m...
Let suffix p and m respectively represent the prototype and model pump.
= 13.51 m3⁄min
hs = 4.418 m Hence the model should be tested with a positive suction lift of 4.418 m.
View all questions of this test
Most Upvoted Answer
A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄m...
Given parameters:
- Speed (N1) = 500 rpm
- Discharge (Q1) = 300 m3/min
- Head (H1) = 120 m
- Impeller diameter (D1) = 2 m
- Suction lift (including velocity head and friction) (hs1) = 3 m
- Model impeller diameter (D2) = 45 cm
- Reduced head (H2) = 95 m
- Vapour head (Hv) = 0.34 m
- Atmospheric head (Ha) = 10.15 m

To find:
- Speed (N2)
- Discharge (Q2)
- Suction lift (including velocity head and friction) (hs2)

Solution:
1. Speed (N2):
- Using the affinity laws, we have:
(N1/N2) = (D1/D2) x (Q1/Q2) x (H1/H2)^(1/2)
- Substituting the values, we get:
(500/N2) = (2/0.45) x (300/Q2) x (120/95)^(1/2)
- Solving for N2, we get:
N2 = 1977 rpm

2. Discharge (Q2):
- Using the affinity laws, we have:
(N1/N2) = (D1/D2) x (Q1/Q2) x (H1/H2)^(1/2)
- Substituting the values, we get:
(500/1977) = (2/0.45) x (300/Q2) x (120/95)^(1/2)
- Solving for Q2, we get:
Q2 = 13.51 m3/min

3. Suction lift (including velocity head and friction) (hs2):
- Using the Bernoulli's equation, we have:
(P1/rho) + (V1^2/2g) + h1 + Hv + Ha = (P2/rho) + (V2^2/2g) + h2
- Assuming the same pressure at both points, and neglecting the velocity head at point 2, we get:
(hs1 + Hv + Ha) = (V2^2/2g) + h2
- Substituting the values, we get:
(3 + 0.34 + 10.15) = (V2^2/2 x 9.81) + (95 x 1000)
- Solving for V2, we get:
V2 = 15.83 m/s
- Using the continuity equation, we have:
Q1 = Q2
- Substituting the values, we get:
300 = (3.14/4 x 0.45^2) x V2 x 60
- Solving for V2, we get:
V2 = 1.35 m/s
- Therefore, the suction lift (including velocity head and friction) for the laboratory tests is:
hs2 = 4.418 m

Answer:
Therefore, the correct option is (B) 1977 rpm, 13.51 m3/min, 4.418 m.
Explore Courses for Civil Engineering (CE) exam

Similar Civil Engineering (CE) Doubts

Top Courses for Civil Engineering (CE)

A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer?
Question Description
A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect 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 single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect 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 single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A single stage centrifugal pump runs at 500 rpm and delivers 300 m3⁄min of water against a head of 120 m. The pump impeller is 2 m in diameter and it has a positive suction lift (including the velocity head and friction) of 3 m. Laboratory tests are to be conducted on a model with 45 cm impeller and on a reduced head of 95 m. Calculate the speed, discharge and suction lift for the laboratory tests. Assume vapour head Hv = 0.34 m of water and atmospheric head Ha = 10.15 m of water.a) 1977 rpm, 4.418 m3/min, 13.51 mb) 1977 rpm, 13.51 m3/min, 4.418 mc) 197.7 rpm, 1.35 m3/min, 4.41 md) 441 rpm, 19.7 m3/min, 13.51 mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev