Archimedes’ principle can be used to calculate the density of a fluid as well as that of a solid. Suppose a chunk of iron with a mass of 390.0 g in air is found to have an apparent mass of 350.5 g when completely submerged in an unknown liquid.

(a) What mass of fluid does the iron displace?

(b) What is the volume of iron, using its density as given in Table 11.1

(c) Calculate the fluid’s density and identify it.

Data given in Table 11.1

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Substance Solids Aluminum p(x10³ kg/m³ or g/mL) 2.7 Substance Liquids Water (4°C) p(103 kg/m³ or g/mL) 1.000 Substance Gases Air p(103 kg/m³ or g/mL) 1.29 × 10-3