Certainly! Let's go through the steps to calculate the number of atoms in 3 moles of carbon atoms.
### Step-by-Step Solution
1. Understand the problem:
- We need to find the number of atoms in a given number of moles of carbon atoms.
2. Given Information:
- We are given 3 moles of carbon atoms.
3. Recall Avogadro's constant:
- Avogadro's constant is a fundamental constant used to describe the number of atoms, ions, or molecules in one mole of a substance. The value of Avogadro's constant is [tex]\(6.022 \times 10^{23}\)[/tex] atoms/mole.
4. Calculate the number of atoms:
- To find the number of atoms, we multiply the number of moles of carbon atoms by Avogadro's constant:
[tex]\[
\text{Number of atoms} = (\text{Number of moles}) \times (\text{Avogadro's constant})
\][/tex]
- Substituting the given values:
[tex]\[
\text{Number of atoms} = 3 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole}
\][/tex]
5. Perform the multiplication:
- When you multiply:
[tex]\[
3 \times 6.022 \times 10^{23} = 18.066 \times 10^{23}
\][/tex]
6. Express the final answer in scientific notation:
- The product [tex]\(18.066 \times 10^{23}\)[/tex] can be expressed as:
[tex]\[
1.8066 \times 10^{24}
\][/tex]
### Final Answer
The number of atoms in 3 moles of carbon atoms is [tex]\(1.8066 \times 10^{24}\)[/tex] atoms.
This is the step-by-step solution to calculate the number of atoms in 3 moles of carbon atoms.
