Question

An empty density bottle weighs 22 g. When completely filled with water it weighs 50 g and when completely filled with brine solution it weighs 54 g. Calculate the density of the brine solution.

• A. 1.14
• B. 1.14 g/cm³
• C. 2.28
• D. 2.28 g/cm³

Answer 1

The correct option is B

1.14 g/cm³

Mass of empty density bottle = 22 g
Mass of empty density bottle and water = 50 g
Mass of empty density bottle and brine solution = 54 g
Mass of water in density bottle = 50 g – 22 g = 28 g
Mass of brine solution in density bottle = 54 g – 22 g = 32 g
Therefore, relative density of brine solution $=\frac{\text{Mass of brine solution}}{\text{Mass of water}}=\frac{32g}{28g}=1.14$
Hence, density of brine solution = relative density of brine solution $\times$ density of water = $1.14\times 1g/c{m}^3=1.14g/c{m}^3$.