Physics

Physics

Problem

Water with density 1.0×103 kg m−31.0\times10^{3}\,\text{kg}\,\text{m}^{-3} flows at a constant mass flow rate of 2.5 kg s−12.5\,\text{kg}\,\text{s}^{-1}. What total volume of water, in litres, is delivered after 4.0 min4.0\,\text{min}? a) 150 L150\,\text{L} b) 60 L60\,\text{L} c) 600 L600\,\text{L} d) 500 L500\,\text{L}
Intuitive explanation

This is about connecting mass flow rate to volume using density. Since mass flow rate tells you how many kilograms pass per second, you can find the total mass delivered over the time interval, then convert that mass to volume using the density relationship ρ=m/V\rho = m/V. The key is treating density as your conversion factor between the mass you calculate and the volume you need.

Intuitive explanation

This is about connecting mass flow rate to volume using density. Since mass flow rate tells you how many kilograms pass per second, you can find the total mass delivered over the time interval, then convert that mass to volume using the density relationship ρ=m/V\rho = m/V. The key is treating density as your conversion factor between the mass you calculate and the volume you need.

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