Question

conversions with Avogadro's number how many atoms of helium are in a ballon that contains 5.68 moles of helium

Answers

GPT-4o mini
To find the number of atoms in a given number of moles, you can use Avogadro's number, which is approximately \(6.022 \times 10^{23}\) entities (atoms, molecules, etc.) per mole.

Given:
- Moles of helium = 5.68 moles
- Avogadro's number = \(6.022 \times 10^{23}\) atoms/mole

You can calculate the total number of helium atoms using the formula:

\[
\text{Number of atoms} = \text{Moles} \times \text{Avogadro's number}
\]

Substituting the values:

\[
\text{Number of atoms} = 5.68 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole}
\]

Calculating this:

\[
\text{Number of atoms} \approx 5.68 \times 6.022 \times 10^{23} \approx 3.42 \times 10^{24} \, \text{atoms}
\]

Therefore, there are approximately \(3.42 \times 10^{24}\) atoms of helium in a balloon that contains 5.68 moles of helium.