Questions: How many moles of IO contain 8.06 × 10^27 molecules of IO?

Solution Steps

To find the number of moles from a given number of molecules, we use Avogadro's number, which is \(6.022 \times 10^{23}\) molecules per mole. This allows us to convert between the number of molecules and moles.

Given that there are \(8.06 \times 10^{27}\) molecules of IO, we can calculate the number of moles by dividing the number of molecules by Avogadro's number:

\[ \text{Number of moles} = \frac{8.06 \times 10^{27} \text{ molecules}}{6.022 \times 10^{23} \text{ molecules/mole}} \]

Carrying out the division:

\[ \text{Number of moles} = \frac{8.06 \times 10^{27}}{6.022 \times 10^{23}} \approx 1.338 \times 10^{4} \]

Final Answer