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

Answer:

number of gold atoms = $1.528X10^{22}$

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 = $\frac{massofgold}{massofatom}=\frac{5}{3.271X10^{-22}} =1.528X10^{22}$

Thus number of gold atoms = $1.528X10^{22}$

Answer 2

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