Question

A diamond weighing 150 mg is dropped into graduated cylinder containing 23.270 mL of water causing the water level to rise to 23.312 mL. What is the density of diamond (in g/mL)?

Answer 1

Alright, here's the math:

1. Find the change in volume: 23.312 mL - 23.270 mL = 0.042 mL

2. Calculate the mass of the displaced water: 0.042 mL * 1 g/mL (density of water) = 0.042 g

3. Calculate the volume of the diamond: (23.270 mL - 23.270 mL) + 23.270 mL = 23.270 mL (the diamond displaces all of the water in the graduated cylinder

5. Calculate the density of the diamond: (150 mg) / (23.270 mL) = 0.00646 g/mL

The density of the diamond is 0.00646 g/mL.