Adam has 5 barrels of different volumes. The barrel of which volume can contain the most liquid?
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The maximum volume flow rate of kerosene is 8.3 L/s
<h3>What is the maximum volume flow rate?</h3>In fluid dynamics, the maximum volume flow rate (Q) is the volume or amount of fluid flowing via a required cross-sectional area per unit time.
In fluid mechanics, using the following relation, we can determine the maximum volume flow rate of kerosene.
- Power = mass flow rate(m) × specific work(w) --- (1)
- Specific work = acceleration due to gravity (g) × head (h) ---- (2)
- Mass flow rate (m) = density (ρ) × volume flow rate (Q) --- (3)
By combining the three equations together, we have:
The power gained through the fluid pump to be:
- P = ρ × Q × g × h
Making Q the subject, we have:
where:
- P = 2 kW = 2000 W
- ρ = 0.820 kg/L
- g = 9.8 m/s
- h = 30 m
Q = 0.008296 m³/s
Q ≅ 8.3 L/s
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