Calculating Gauge Pressure in a Two-Story House

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SUMMARY

The gauge pressure at a faucet located on the second floor of a two-story house, 7.0 meters above the first floor, is calculated using the formula P2 = P1 + (density x g x h). Given a gauge pressure of 2.00 x 105 Pa at the first floor, the correct calculation shows that P1 is 131330 Pa when accounting for the negative height due to the pipe entering from the basement. This adjustment is crucial for accurate pressure readings in multi-story buildings.

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wallace13
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The main water line enters a house on the first floor. The line has a gauge pressure of 2.00 x10^5 Pa.
(a) A faucet on the second floor, 7.0 m above the first floor, is turned off. What is the gauge pressure at this faucet?




P2= P1 + (density x g x h)



(2 x 10^5)= P1 + (1000 x 9.81 x 7)

P1= 131330 Pa
 
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Looks OK.
 
Ah, I see the error. Why is the pipe entering the house on the first floor? We all know pipes enter through the basement. Therefore, the height should be negative.
 

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