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An oil tank of height 6 m is half-filled with oil and the air above it exerts a pressure of 200 kPa on the upper surface. The density of oil varies according to the given relation:

What will be the percentage error in the calculation of the pressure at the base of the tank if the density is taken to be a constant equal to 800?
  • a)
    0.01
  • b)
    0.05
  • c)
    0.10
  • d)
    0.15
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An oil tank of height 6 m is half-filled with oil and the air above it...
 
Explanation: The change of pressure with the vertical direction y is given by
dP/dy = – ρg
dP = -ρg dy
If Pa and Pb be the pressures at the top and bottom surfaces of the tank,


Thus, Pb = 223.5746kPa. If the density is assumed to be constant,
Pb = 200 + 800 * 9.81 * 3 * 103 = 223.544 kPa. Hence, precentage error
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An oil tank of height 6 m is half-filled with oil and the air above it exerts a pressure of 200 kPa on the upper surface. The density of oil varies according to the given relation:What will be the percentage error in the calculation of the pressure at the base of the tank if the density is taken to be a constant equal to 800?a)0.01b)0.05c)0.10d)0.15Correct answer is option 'A'. Can you explain this answer?
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An oil tank of height 6 m is half-filled with oil and the air above it exerts a pressure of 200 kPa on the upper surface. The density of oil varies according to the given relation:What will be the percentage error in the calculation of the pressure at the base of the tank if the density is taken to be a constant equal to 800?a)0.01b)0.05c)0.10d)0.15Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about An oil tank of height 6 m is half-filled with oil and the air above it exerts a pressure of 200 kPa on the upper surface. The density of oil varies according to the given relation:What will be the percentage error in the calculation of the pressure at the base of the tank if the density is taken to be a constant equal to 800?a)0.01b)0.05c)0.10d)0.15Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An oil tank of height 6 m is half-filled with oil and the air above it exerts a pressure of 200 kPa on the upper surface. The density of oil varies according to the given relation:What will be the percentage error in the calculation of the pressure at the base of the tank if the density is taken to be a constant equal to 800?a)0.01b)0.05c)0.10d)0.15Correct answer is option 'A'. Can you explain this answer?.
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