A substance with a volume of 2/3 cm (3) has a mass of 4/9 g. Find the volume if the mass is 1g.

univerkov | August 3, 2021 | education

Method 1) Find out the density of the specified substance: ρ = m1 / V1, where m1 is the first mass of the specified substance (m1 = 4/9 g); V1 is the first volume of the substance (V1 = 2/3 cm3).

Calculation: ρ = 4/9 / 2/3 = 4 * 3 / (9 * 2) = 2/3 g / cm3

Let us find the second volume of the indicated substance: V2 = m2 / ρ, where m2 is the second mass of the indicated substance (m2 = 1 g).

Calculation: V2 = m2 / ρ = 1 / 2/3 = 3/2 = 1.5 cm3.

Method 2) Since the density of the specified substance is constant, it will be true: m1 / V1 = m2 / V2, from where we express: V2 = m2 * V1 / m1.

Calculation: V2 = 1 * 2/3 / 4/9 = 2 * 9 / (3 * 4) = 3/2 = 1.5 cm3.

Answer: The mass of 1 g of the specified substance occupies a volume of 1 cm3.

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