How to Convert Atoms of Carbon to Moles of Carbon?
Explanation:
Step 1: Identify the given value of atoms of carbon, which is 1.81 x 10^24 atoms.
Step 2: Use the conversion factor to convert atoms to moles.
1 mole of carbon = 6.022 x 10^23 atoms of carbon
Step 3: Set up the conversion calculation.
\[ \frac{1.81 \times 10^{24} \text{ atoms C}}{6.022 \times 10^{23} \text{ atoms C} \times \text{mol}^{-1}} = 3 \: \text{mol} \]
Step 4: Calculate the answer.
By substituting the given values into the formula, we get:
\[ \frac{1.81 \times 10^{24} \times \text{C atoms}}{6.022 \times 10^{23} \times \text{C atoms} \times \text{mol}^{-1}} = 3 \: \text{mol} \]Therefore, 1.81 x 10^24 atoms of carbon is equivalent to 3 moles of carbon.