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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the Conversion Factor
N_{A} = 6.022 \times 10^{23} \frac{\text{molecules}}{\text{mol}}
To convert molecules to moles, we need to use Avogadro's number, which represents the number of particles in one mole.
Step 3:: Set Up the Conversion Calculation
\text{Moles} = \frac{2.5 \times 10^{24} \text{ molecules}}{6.022 \times 10^{23} \frac{\text{molecules}}{\text{mol}}}
We'll divide the given number of molecules by Avogadro's number:
Step 4:: Perform the Calculation
\text{Moles} = \frac{2.5 \times 10^{24}}{6.022 \times 10^{23}} = 4.15 \text{ mol}
Simplify the division by canceling out the units and calculating:
Final Answer
4.15 \text{ mol}
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