How many moles of atoms are in 9.03 x 10^24 atoms?

To determine the number of moles of atoms in a given number of atoms, one can use Avogadro's number, which is approximately (6.022 \times 10^{23}) atoms per mole. This fundamental constant provides the conversion between the microscopic scale (atoms) and the macroscopic scale (moles).

To find the number of moles in (9.03 \times 10^{24}) atoms, the calculation is as follows:

1. Start with the total number of atoms: (9.03 \times 10^{24}) atoms.

2. Divide this quantity by Avogadro's number:

[

\text{Moles of atoms} = \frac{9.03 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mol}} \approx 15.0 \text{ mol}

]

Thus, the correct calculation demonstrates that there are approximately 15.0 moles of atoms in (9.03 \times 10^{24}) atoms. This understanding is crucial for converting between the number of atoms in a sample and the number of moles, which is a standard practice in analytical