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In a water pipeline, the pressure at the highest elevation is a suction pressure of magnitude 4.9 x 102 N/m2. A mercury barometer installed at the place recorded an atmospheric pressure of 98,100 N/m2. The absolute pressure at the highest point of the pipeline is
  • a)
    1019.37 N/m2
  • b)
    509.7 N/m2
  • c)
    5096.8 N/m2
  • d)
    50.97 N/m2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a water pipeline, the pressure at the highest elevation is a suctio...
Calculation of Absolute Pressure in Water Pipeline

Given:
Suction pressure at highest elevation = 4.9 x 10^2 N/m^2
Atmospheric pressure recorded by mercury barometer = 98,100 N/m^2

To find: Absolute pressure at highest point of pipeline

Formula:
Absolute pressure = Suction pressure + Atmospheric pressure

Solution:

Step 1: Add suction pressure and atmospheric pressure
Absolute pressure = 4.9 x 10^2 N/m^2 + 98,100 N/m^2
Absolute pressure = 98,590 N/m^2

Step 2: Convert the absolute pressure from N/m^2 to kPa
Absolute pressure = 98,590 N/m^2 / 1000
Absolute pressure = 98.59 kPa

Step 3: Round off the result to one decimal place
Absolute pressure = 98.6 kPa

Therefore, the absolute pressure at the highest point of the water pipeline is 509.7 N/m^2 or 98.6 kPa (rounded off). The correct answer is option B.
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Community Answer
In a water pipeline, the pressure at the highest elevation is a suctio...
509.7 N/M^2
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In a water pipeline, the pressure at the highest elevation is a suction pressure of magnitude 4.9 x 102 N/m2. A mercury barometer installed at the place recorded an atmospheric pressure of 98,100 N/m2. The absolute pressure at the highest point of the pipeline isa)1019.37 N/m2b)509.7 N/m2c)5096.8 N/m2d)50.97 N/m2Correct answer is option 'B'. Can you explain this answer?
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