Water has a density of 1,000 kg/m³. The height of a column of water that would produce a pressure of 1.013 × 10⁵ N/m² is A) 7.330 m. B) 9.820 m. C) 10.34 m. D) 15.72 m. E) 20.01 in.

Question

Quizplus · Accepted Answer

The pressure exerted by a column of fluid is given by the formula:

P = ρgh

Where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the column.

Rearranging this formula to solve for h, we get:

h = P / (ρg)

Plugging in the given values, we get:

h = (1.013 × 10^5 N/m^2) / (1000 kg/m^3 × 9.81 m/s^2)

h = 10.34 m

Therefore, the height of a column of water that would produce a pressure of 1.013 × 10^5 N/m^2 is 10.34 m.

The correct answer is (C).

Water Has a Density of 1,000 Kg/m3

Water Has a Density of 1,000 Kg/m³