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This question is misguided. You don't need pressure, you need energy.

Energy = work done = mass of water x g (acceleration due to gravity) x height raised.

Pressure = force/area over which it is applied (e.g. the cross section of the water pipe.)

So the pressure needed is given by

P = mgh/area

Be sure your value of g is in the right units for your mass and height measurements.

Differential air pressure will be shown by raising the water level in, for example, a U shaped tube, where differentail pressure is applied between the two arms. Yes, to move the water, energy is used. BTW, energy equals force (weight) times distance, but you are not lifting all the water by one foot.

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Q: How much pressure is needed to raise water one foot?
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