If a pump could produce a perfect vacuum, what is the MAXIMUM height it could lift water at sea level, in feet?

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The maximum height a pump could lift water is determined by the atmospheric pressure at sea level, which is typically about 14.7 psi. When converted, this pressure can lift a column of water to a specific height.

For water, which has a density of about 62.4 pounds per cubic foot, the relationship between pressure and height can be calculated using the formula that links pressure to height:

Height (in feet) = (Pressure (in psi) * 144) / (Weight of water per cubic foot).

Substituting in the values:

Height = (14.7 psi * 144 in²) / (62.4 lb/ft³) = approximately 34.0 feet.

However, since we are discussing maximum height under ideal conditions without vapor pressure and considering other factors, this theoretical maximum height is typically cited as approximately 33.9 feet.

This translates into the B choice being correct, as it aligns closely with the common understanding of the maximum achievable height a perfect vacuum pump could lift water under standard conditions at sea level. The other options do not represent this ideal calculation, making B the most accurate and scientifically sound choice.

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