A fountain sends water to a height of 150 meters.What is the difference between the pressure of the water system and the atmospheric pressure?
A)9.71 atm
B)12.1 atm
C)14.6 atm
D)17.0 atm
E)19.4 atm

Question

Quizplus · Accepted Answer

The pressure difference between the water system and atmospheric pressure is equal to the gauge pressure at the base of the fountain, which is given by P = ρgh, where ρ is the density of water, g is the acceleration due to gravity, and h is the height of the fountain. Plugging in the values, we get P = (1000 kg/m³)(9.81 m/s²)(150 m) = 1,471,500 Pa. Converting to atm, we get P = 1.4715 atm. The atmospheric pressure is approximately 1 atm, so the pressure difference is P - 1 atm = 0.4715 atm. Rounded to one decimal place, the answer is C) 14.6 atm.

A Fountain Sends Water to a Height of 150 Meters