Question

An atom of gold has a mass of 3.271 x 10^-22g. how many atoms of gold are in 5.00g of gold?

Answer 1

5.00g Au x(1 atom Au/3.271x10^-22 g) = 1.52858x10^22 atoms
Since one of your given terms has only 3 significant figures (5.00g), your answer should only have 3 sig figs showing: 1.53x10^22 atoms Au

Answer 2

number of gold atoms =
`1.528X10^(22)`

Step-by-step explanation:

The mass of one atom of gold is given to be =
`3.271X10^(-22)`

The mass of gold is given to be =
`5.00g`

In order to determine the number of atoms present in the 5 g of gold, we will divide the mass of the gold with the mass of each atom of the gold.

the number of atoms =
`(massofgold)/(massofatom)=(5)/(3.271X10^(-22)) =1.528X10^(22)`

Thus number of gold atoms =
`1.528X10^(22)`