An atom of gold has a mass of approximately $3.25 \times 10^{-22}$ grams. What is the mass of 5000 atoms of gold? Express your answer in scientific notation.

Step 1 ：Given that the mass of one atom of gold is approximately \(3.25 \times 10^{-22}\) grams.

Step 2 ：We are asked to find the mass of 5000 atoms of gold.

Step 3 ：To find this, we need to multiply the mass of one atom by the number of atoms, which is 5000.

Step 4 ：Performing this multiplication gives us a total mass of \(1.625 \times 10^{-18}\) grams.

Step 5 ：Final Answer: The mass of 5000 atoms of gold is approximately \(\boxed{1.625 \times 10^{-18}}\) grams.