Worked Example: Density, Mass, and Volume
This worked example demonstrates how to use the relationship between density, mass, and volume. This is a fundamental concept in fluid mechanics, structural design, and thermodynamics.
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This worked example demonstrates how to use the relationship between density, mass, and volume. This is a fundamental concept in fluid mechanics, structural design, and thermodynamics.
A storage tank contains 30.0 cubic meters of liquid water at 20°C. Calculate the total mass of the water.
Density () is defined as mass () divided by volume (): To find the mass, we rearrange the equation:
Substitute the known values into the rearranged equation:
Knowing the total mass is critical for structural engineering. In this case, 29,940 kg (nearly 30 metric tons) of mass will exert a massive downward force (weight) on the structural supports of the tank. This demonstrates how physical properties bridge process requirements to structural design.