The molar mass of gold, Au, is [tex]$196.97 \, \text{g/mol}$[/tex].

How many moles of gold are in [tex]$383.74 \, \text{g}$[/tex] of Au?

[tex][?] \, \text{mol Au}[/tex]



Answer :

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].