Question

3. A piece of metal weighs 9.25 g in air, 8.20 g in water, and 8.36 g when immersed in gasoline.
a) What is the density of the metal?( 3)
b) What is the density of the gasoline? (3)

Answer 1

Answer:The density of the gasoline is 0.85 g cm^–3.

Explanation:-

When immersed in water, the metal object displaces (9.25 – 8.20) g = 1.05 g of water.

Whose volume is (1.05 g) / (1.00 g cm–3) = 1.05 cm^3.

The density of the metal is thus (9.25 g) / (1.05 cm^3) = 8.81 g cm^–3.

( b) The metal object displaces (9.25 - 8.36) g = 0.89 g of gasoline, whose density must therefore be (0.89 g) / (1.05 cm^3) = 0.85 g cm^–3.

Thus the density of the gasoline is 0.85 g cm^–3.