Understanding the Concepts

* Mole (mol): A unit of measurement for the amount of a substance. One mole contains 6.022 x 10^23 particles (atoms, molecules, etc.). This number is called Avogadro's number.

Calculation

1. Use Avogadro's Number: We know that 1 mole of any substance contains 6.022 x 10^23 particles.

2. Set up a Conversion Factor: We can use this information to create a conversion factor:

(6.022 x 10^23 molecules H2O) / (1 mol H2O)

3. Multiply by the Given Amount: Multiply the given amount of moles (0.583 mol H2O) by the conversion factor:

0.583 mol H2O * (6.022 x 10^23 molecules H2O / 1 mol H2O)

4. Simplify: The "mol H2O" units cancel out, leaving us with:

(0.583 * 6.022 x 10^23) molecules H2O

5. Calculate: The final answer is:

3.51 x 10^23 molecules H2O

Therefore, there are approximately 3.51 x 10^23 molecules of H2O in 0.583 mol H2O.