Of course! Let's find out how many moles are in [tex]\(2.41 \times 10^{24}\)[/tex] molecules of HCN step by step.
We know that Avogadro's number represents the number of particles in one mole. Avogadro's number is approximately [tex]\(6.02 \times 10^{23}\)[/tex] particles per mole.
Given:
- Number of molecules of HCN = [tex]\(2.41 \times 10^{24}\)[/tex]
- Avogadro's number = [tex]\(6.02 \times 10^{23}\)[/tex] particles/mole
The relationship between the number of particles and the number of moles is given by the formula:
[tex]\[
\text{Number of moles} = \frac{\text{Number of particles}}{\text{Avogadro's number}}
\][/tex]
Substituting the given values into the formula:
[tex]\[
\text{Number of moles of HCN} = \frac{2.41 \times 10^{24} \text{ molecules}}{6.02 \times 10^{23} \text{ molecules/mole}}
\][/tex]
When you carry out the division:
[tex]\[
\text{Number of moles of HCN} \approx 4.00 \text{ moles of HCN}
\][/tex]
Therefore, there are approximately [tex]\(4.00\)[/tex] moles of HCN in [tex]\(2.41 \times 10^{24}\)[/tex] molecules of HCN.
