Sure, let's solve this step-by-step.
1. Identify the given values:
- Molar mass of gold, [tex]\( \text{Au} \)[/tex], is [tex]\( 196.97 \, \text{g/mol} \)[/tex].
- Mass of gold sample, [tex]\( m \)[/tex], is [tex]\( 383.74 \, \text{g} \)[/tex].
2. Recall the formula for calculating the number of moles:
[tex]\[
\text{Number of moles} = \frac{\text{Mass of the substance}}{\text{Molar mass of the substance}}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
\text{Number of moles of Au} = \frac{383.74 \, \text{g}}{196.97 \, \text{g/mol}}
\][/tex]
4. Perform the division:
[tex]\[
\frac{383.74}{196.97} \approx 1.948
\][/tex]
Therefore, the number of moles of gold in [tex]\( 383.74 \, \text{g} \)[/tex] of Au is approximately [tex]\( 1.948 \, \text{mol} \)[/tex].
