A bottle has a stopper of area 1 cm^2. The bottle is completely filled with a li

Question

A bottle has a stopper of area 1 cm^2. The bottle is completely filled with a liquid, which touches the stopper; there are no air bubbles or pockets. The inside are of the bottle itself is 30 cm^2. Suppose a force of 5 Newtons is applied in a direction to push the stopper into the bottle. What extra pressure is exerted on the inner surface of the bottle as a result?

150 N/cm2. 0.167 N/cm2. 5 N/cm2. Don't forget the air pressure. Add that to the pressure exerted by the stopper on the liquid to get the correct result. None of the other answers is correct.

Explanation / Answer

actual pressure = force/area = 5/1 = 5 N/cm^2

air pressure p = 5/30 = 0.1667 N/cm^2

so change of presure = 5-0.167 = 4.833 N/cm^2

so none of the answers were correect

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