The formula to calculate the number of moles (n) from the number of molecules (N) is:
\[ n = \frac{N}{N_A} \]
Where:
Molecules to moles conversion is a fundamental concept in chemistry that allows scientists to relate the number of molecules of a substance to the amount of substance in moles. This conversion is essential because chemical reactions often occur in proportions of moles rather than individual molecules. Avogadro’s number, which is approximately \(6.02214076 \times 10^{23}\) molecules per mole, is the key constant used in this conversion. By knowing the number of molecules and using Avogadro’s number, one can easily calculate the number of moles, facilitating the understanding and prediction of chemical reactions.
Example 1:
Using the formula:
\[ n = \frac{1.2044 \times 10^{24}}{6.02214076 \times 10^{23}} \approx 2 \text{ mol} \]
Example 2:
Using the formula:
\[ n = \frac{3.011 \times 10^{23}}{6.02214076 \times 10^{23}} \approx 0.5 \text{ mol} \]