Air with a density of 1.20 kg/m³ flows through a 75.0 cm diameter pipe with a velocity of 2.00 m/s. What is the mass flow rate? A) 0.95 kg/s B) 1.06 kg/s C) 1.20 kg/s D) 1.26 kg/s E) 1.48 kg/s

Question

Quizplus · Accepted Answer

The first step is to calculate the cross-sectional area of the pipe, which can be done using the formula:

A = (π/4) * d^2

where d is the diameter of the pipe. Substituting the given values, we get:

A = (π/4) * (0.75 m)^2 = 0.4418 m^2

Next, we can calculate the mass flow rate using the formula:

m_dot = ρ * A * V

where ρ is the density of the air and V is the velocity of the air. Substituting the given values, we get:

m_dot = (1.20 kg/m^3) * 0.4418 m^2 * 2.00 m/s = 1.058 kg/s

Therefore, the mass flow rate is 1.06 kg/s, which is closest to choice B.

Air with a Density of 1