A crown has a mass of 500g. It displaces 25g of water. What is the density of the crown?

To find the density of the crown, we need to use the formula for density, which is mass divided by volume.

Step 1: Convert the mass of the crown to kilograms, since the standard unit for mass in the International System of Units (SI) is the kilogram. 500g is equal to 0.5kg.

Step 2: Find the volume of the crown. We can use the fact that the crown displaces 25g of water. Because the density of water is 1g/cm³ (or equivalently 1kg/L), this means that the volume of the crown is 25cm³ (or equivalently 25mL or 0.025L).

Step 3: Substitute the mass and volume into the formula for density. The density ρ is therefore ρ = mass/volume = 0.5kg / 0.025L = 20kg/L.

So, the density of the crown is 20kg/L.