Question

An atom of gold has a mass of approximately 3.25 x 10-22 grams. What is the mass of 1000 atoms of gold? Express your answer in scientific notation.

Answer 1

Answer:

The mass of 1000 atoms of gold is, in grams, of $3.25 \times 10^{-19}$

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

One atom of gold has a mass, in grams, of $3.25 \times 10^{-22}$. What is the mass of 1000 atoms of gold?

1000 atoms is $10^3$. So

1 atom - $3.25 \times 10^{-22}$ grams

$10^3$ atoms - x

Applying cross multiplication:

$x = 3.25 \times 10^{-22} \times 10^3 = 3.25 \times 10^{-22+3} = 3.25 \times 10^{-19}$

The mass of 1000 atoms of gold is, in grams, of $3.25 \times 10^{-19}$