A lead atom has a mass of 3.14 x 10 to the negative 22nd g.How
many lead atoms are in a cube of lead that has a volume of 2.00cm
cubed, if the density of lead is 11.3 g/cm cubed?

Respuesta :

Explanation:

The given data is as follows.

       Mass of a lead atom = [tex]3.14 \times 10^{-22}[/tex]

       Volume = 2.00 [tex]cm^{3}[/tex]

        Density = 11.3 [tex]g/cm^{3}[/tex]

As it is mentioned that 1 cubic centimeter contains 11.3 grams of lead.

So, in 2 cubic centimeter there will be [tex]2 \times 11.3 g = 22.6 g[/tex] of lead atoms.

One lead atom has a mass of [tex]3.14 \times 10^{-22}[/tex]. Therefore, number of atoms present in 22.6 g of lead will be as follows.

                [tex]\frac{22.6 g}{3.14 \times 10^{-22}}[/tex]

                  = [tex]7.197 \times 10^{22} atoms[/tex]

Thus, we can conclude that there are [tex]7.197 \times 10^{22} atoms[/tex] of lead are present.