# Question #2b990

Apr 26, 2017

$4.07 \times {10}^{2} \text{ mol of S}$

#### Explanation:

The factor label method of converting units begins with writing the given quantity as the numerator of a fraction whose denominator is 1.

Given:

$\frac{2.45 \times {10}^{26} \text{ atoms of S}}{1}$

Multiply by the reciprocal of the Avogadro Constant so that units of atoms of Sulfur are cancelled:

$\left(2.45 \times {10}^{26} \text{ atoms of S")/1(1" mol of S")/(6.02xx10^23" atoms of S}\right)$

$\left(2.45 \times {10}^{26} \cancel{\text{ atoms of S")/1(1" mol of S")/(6.02xx10^23cancel" atoms of S}}\right)$
$\frac{2.45 \times {10}^{26}}{6.02 \times {10}^{23}} \text{ mol of S}$
$4.07 \times {10}^{2} \text{ mol of S}$