Flow rate: Water, of density 1000 kg/m³, is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15 m, the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s. At what rate is water flowing in this channel? A) 2.0 × 10⁵ kg/s B) 2.0 × 10³ kg/s C) 3.0 × 10⁵ kg/s D) 3.0 × 10³ kg/s E) 3.0 × 10² kg/s

Question

Quizplus · Accepted Answer

The equation for flow rate is Q = Av, where A is the cross-sectional area of the channel, v is the velocity of the fluid, and Q is the flow rate.
A = width x depth = 15 m x 8.0 m = 120 m^2
Q = 120 m^2 x 2.5 m/s = 300 m^3/s
The density of water is 1000 kg/m^3.
So, the mass flow rate = 300 m^3/s x 1000 kg/m^3 = 3.0 × 10^15 kg/s. 
Therefore, the best choice is C.

Flow Rate: Water, of Density 1000 Kg/m3, Is Flowing in a Drainage

Flow Rate: Water, of Density 1000 Kg/m³, Is Flowing in a Drainage