Question

A substance of density 4g/cm3 causes 60g of turpentine of density 0.8g/cm3 to overflow from a displacement vessel. What is the mass of the substance?

Answer 1

We will use the following formulas :

Density = mass / Volume

Mass = Density × Volume

Volume = mass / Density.

The substance displaces its own volume.

This means that the volume of the turpentine that overflows equals to the volume of the substance.

Mass of Turpentine = 60g

Density of Turpentine = 0.8 g/cm cubed.

Volume of Turpentine = 60/0.8 = 75 cm cubed

This volume is equal to the volume of the substance.

Hence :

Mass of substance = 75 × 4 = 300g

Answer :

300 g