Question

12.01 g of carbon atoms contains 6.02x10^23 carbon atoms. What is the mass in grams of 3.48x10^25 carbon atoms?

Answer 1

This is just showing you how to use a mole of anything (in this case carbon atoms).

Equation

Set up a proportion for solution.

`\frac{12.01 \text{grams}}{6.02*10^(23) \text{ atoms C}} = \frac{x}{3.48 * 10^(25) \text{ atom C}}`

Notice that the two units that are the same will eventually cancel out and you will be left with grams.

Solution

Multiply both sides by 3.48 * 10^25

`\frac{3.48*10^(25) \text{ atoms C}*12.01\text{ grams}}{6.02*10^(23) \text{ atoms C}} = \text{x}`

Cancel out the powers and units that can be cancelled.

3.48*10 * 12.01 / 6.02 = x

Solve for x

x = 69.42 grams