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A mercury-water manometer has a gauge difference of 500 mm (difference in elevation of menisci.) What will be the difference in pressure?
  • a)
    0.5 m
  • b)
    6.3 m
  • c)
    6.8 m
  • d)
    7.3 m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A mercury-water manometer has a gauge difference of 500 mm (differenc...
Difference in pressure
= x 0.5
= 6.3 m
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Most Upvoted Answer
A mercury-water manometer has a gauge difference of 500 mm (differenc...
To find the difference in pressure using a mercury-water manometer, we need to consider the difference in elevation of the mercury columns in the manometer. The pressure difference is directly proportional to the difference in elevation of the mercury columns.

Given that the gauge difference is 500 mm, we can use the equation:

Pressure difference = Density of mercury * g * Difference in elevation

1. Determine the density of mercury:
The density of mercury is approximately 13,600 kg/m³.

2. Determine the acceleration due to gravity (g):
The standard value for acceleration due to gravity is 9.8 m/s².

3. Convert the gauge difference to meters:
500 mm = 0.5 m

4. Plug the values into the equation:
Pressure difference = (13,600 kg/m³) * (9.8 m/s²) * (0.5 m)
= 66,760 N/m²

5. Convert the pressure difference to millibars:
1 millibar (mb) = 100 N/m²
Pressure difference = 66,760 N/m² * (1 mb / 100 N/m²)
= 667.6 mb

Thus, the difference in pressure is 667.6 mb.

The correct answer is option 'B' (6.3 m).
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A mercury-water manometer has a gauge difference of 500 mm (difference in elevation of menisci.) What will be the difference in pressure?a)0.5 mb)6.3 mc)6.8 md)7.3 mCorrect answer is option 'B'. Can you explain this answer?
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