The main water line enters a house on the first floor. the line has a gauge pressure of 2.10 x 105 pa. (a) a faucet on the second floor, 7.30 m above the first floor, is turned off. what is the gauge pressure at this faucet? (b) how high could a faucet be before no water would flow from it, even if the faucet were open?

To answer this question is necessary to apply the concepts related to Bernoulli's equation. The Bernoulli-related concept describes the behavior of a liquid moving along a streamline. Pressure can be defined as the proportional ratio between height, density and gravity:

Where,

h = Height

= Density

g = Gravity

Our values are

density of water at normal conditions

h = 7.3m

PART A) Replacing these values to find the total pressure difference we have to

In this way the pressure change would be subject to

PART B) Considering the pressure gauge of the group as the ideal so that at a height H the water cannot flow even if it is open we have to,

Therefore the high which could a faucet be before no water would flow from it is 21.42m

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