Volume Flow Rate Formula
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Is the volume of fluid which is transferred or passes per unit time, for example from one container to other.
It is represented by the symbol Q, with unit m3/s (cubic meters per second). The formula for volume flow rate is given:
Volume Flow Rate = (variation of volume) / (variation of time)
Q = ΔV/Δt
Where we have:
ΔV: Volume of the fluid that is variating
Δt: Variation of time
Volume flow rate Formula Questions:
1) A fluid is moving through a tube which has a transverse area of 0.3 m2. All the fluid in the tube of 30 cm flows to a container in 5 seconds. What is the volume flow through the tube?
Answer: The total volume of the fluid flowing is given by the formula, Q = Δv/Δt.
Q= 0.3 m2 * 0.3 m/ 5 s = 0.018 m3/s = 18 L/s
Q= 18 L/s
2) The volume flowing from a tube to a container is 5 L/s, and it has a density of 1.5 grams/m3. After 3 seconds, what is the mass of fluid in the container?
Answer: The total mass of the fluid flowing is given by the formula, m = density*Volume or m = ρ ΔV.
In this equation, we need to know the volume that has flown into the container. We use the volume flow rate formula Q = ΔV/Δt, from which we can obtain, ΔV = Q Δt. This is the volume that will be in the container after a time Δt.
Then, substituting in the mass formula, m = ρ ΔV we obtain,
m = ρ Q Δt
m = 1.5 grams/m3 * 5 L/s * 3 s = 1.5 grams/m3 * 0.005 m3/s * 3 s
m = 0.0225 grams
m = 3.9 m.
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