To find out how many moles are present in 3.55 × 10²³ atoms of Silver, we'll follow these steps:
1. Understanding Avogadro's Constant:
Avogadro's constant is a fundamental number in chemistry that provides the number of atoms, molecules, or ions in one mole of a substance. The value of Avogadro's constant is approximately 6.02214076 × 10²³.
2. Given Data:
- Number of atoms of Silver: 3.55 × 10²³ atoms.
- Avogadro's constant: 6.02214076 × 10²³ atoms/mole.
3. Formula to Find Number of Moles:
The formula to find the number of moles from the number of atoms is:
[tex]\[
\text{Number of moles} = \frac{\text{Number of atoms}}{\text{Avogadro's constant}}
\][/tex]
4. Substituting the Given Values:
[tex]\[
\text{Number of moles} = \frac{3.55 \times 10^{23}}{6.02214076 \times 10^{23}}
\][/tex]
5. Calculation:
When we divide 3.55 by 6.02214076, we obtain the result:
[tex]\[
\text{Number of moles} ≈ 0.5894913688467156
\][/tex]
6. Conclusion:
Therefore, the number of moles in 3.55 × 10²³ atoms of Silver is approximately 0.589 moles.
