Question

A supposedly silver crown is tested to determine its density. it displaces 10.7 ml of water and has a mass of 112 g. part a could the crown be made of silver?

Answer 1

The volume of water displace by crown is 10.7 mL. This will be equal to the volume of crown. Mass of crown is 112 g.

Density of a substance is defined as mass of substance per unit volume. It is mathematically represented as follows:

$d=\frac{m}{V}$

Putting the values,

$d=\frac{112 g}{10.7 mL}=10.46 g/mL$

The theoretical value of density of silver is $10.5 g/cm^{3}$ also, 1 mL is equal to $1 cm^{3}$ thus, density will be 10.5 g/mL.

This is approximately equal to the calculated value thus, the crown is made up of silver.