Final answer:
The volume flow rate of water through a hose that fills a 5-L container in 45 seconds is 1.11 x 10⁻´ m³/s.
Step-by-step explanation:
Calculating the Volume Flow Rate
To determine the volume flow rate in cubic meters per second (m³/s) of a hose used to fill a 5-Liter container in 45 seconds, you need to use the formula for flow rate Q = ΔV/Δt, where ΔV is the change in volume and Δt is the change in time. In this scenario, the container volume ΔV is 5 Liters, which is equivalent to 0.005 cubic meters (since 1 L = 0.001 m³). The time taken Δt is 45 seconds.
By substituting the known values into the formula, we get:
Q = ΔV/Δt = 0.005 m³ / 45 s = 1.11 x 10⁻´ m³/s.
The volume flow rate of the water through the hose is therefore 1.11 x 10⁻´ m³/s.