Question

An empty density bottle weighs 30 g. When completely filled with water, it weighs 55 g and when completely filled with brine solution it weighs 55.5 g. Calculate:

• Volume of the density bottle

• Density of brine solution.

Answer 1

Let V be the volume of the bottle whose mass is 30 g.

When filled with water the bottle weighs 55 g

Therefore, Mass of water in the bottle, m_w = 55 – 30 = 25 g

Density of water = m_w/V = 1 g/cc

=> V = 25 cc

So, the volume of the bottle is = 25 cc.

When filled with Brine solution the bottle weighs 55.5 g.

So, mass of brine solution in the bottle, m_b = 55.5 – 30 = 25.5 g

Therefore, density of the brine solution = m_b/V = 25.5/25 = 1.02 g/cc
Hence volume of density bottle is 25cc and density of brine solution is 1.02 g/cc