A fountain sends water to a height of 100 m.What must be the pressurization (above atmospheric)of the underground water system? (1 atm = 10⁵ N/m²) A)1 atm B)4.2 atm C)7.2 atm D)9.8 atm

Question

Quizplus · Accepted Answer

The pressure required to lift water to a height of 100 m can be calculated using the formula:
Pressure = density x gravity x height
Assuming the density of water as 1000 kg/m³ and acceleration due to gravity as 9.8 m/s², we get:
Pressure = 1000 x 9.8 x 100
Pressure = 980,000 N/m²
Converting N/m² to atm, we get:
980,000 N/m² = 980,000/10¹² atm
Pressure = 9.8 atm
Therefore, the pressurization (above atmospheric) of the underground water system must be 9.8 atm. Hence, option D is the correct answer.

A Fountain Sends Water to a Height of 100 M