Question

The density of pure silver is 10.5 g/cm3 at 20°C. If 5.25 g of pure silver pellets is added to a graduated cylinder containing 16.1 mL of water, to what volume level will the water in the cylinder rise?

Answer 1

Answer:

The correct answer is 16.6 mL

Explanation:

The density of a substance is defined as its mass per unit of volume. Thus:

density = mass/volume

So, to calculate volume: volume = mass/density

Given:

density= 10.5 g/cm³

mass= 5.25 g

We calculate the volume occupied by silver as follows:

volume= mass/density= (5.25 g)/(10.5 g/cm³)= 0.5 cm³

Moreover, we know that 1 cm³= 1 ml. So, a mass of 5.25 g of pure silver occupies a volume of 0.5 ml. If we add the mass of silver to a graduated cylinder with 16.1 mL of water, the final volume will be given by the initial volume of water plus the volume occupied by silver:

volume level = 16.1 mL + 0.5 mL = 16.6 mL