A fountain sends water to a height of 100 meters.What must be the pressurization (above atmospheric)of the water system? 1 ATM = 1.01 *10⁵ N/m². A)1.0 ATM B)4.2 ATM C)7.2 ATM D)9.7 ATM E)8.2 ATM

Question

Quizplus · Accepted Answer

Using the formula for pressure, P = ρgh, where ρ is the density of the water, g is the acceleration due to gravity, and h is the height of the water column, we can calculate the pressure required:
P = (1000 kg/m^3)(9.81 m/s^2)(100 m) = 981,000 Pa
Converting this to atmospheres using the conversion factor given,
P = 981,000 Pa × 1 atm/101,325 Pa = 9.67 atm
Rounding to the nearest tenth, we get a pressurization of 9.7 atm. Therefore, the correct answer is D.

A Fountain Sends Water to a Height of 100 Meters