A pure silver sphere has a radius of 0.886 cm. How many silver atoms does it contain? (volume of a sphere = 𝜋r3; density of silver = 10.5 g/cm3)

Solution 104P

Step 1:

Given :

Radius of pure silver sphere = 0.886 cm

Density of silver = 10.5 g/cm3

volume of a sphere =

Number of silver atoms, the sphere contains = ?

First, let’s find the volume of the sphere :

=

=(0.886 cm)3

= 2.914 cm3.

We have the density and volume, let’s calculate the mass of the silver using the density formula :

=

m = V

m = 30.59 g

Therefore the mass of the silver in the sphere is 30.59 g.