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Answer :
Sure, let's solve this step-by-step.
1. Know the atomic mass of gold (Au):
The atomic mass of gold is [tex]\( 197.0 \)[/tex] grams per mole (g/mol).
2. Know the number of moles given:
The problem states that we have [tex]\( 39.1 \)[/tex] moles of gold.
3. Use the formula to calculate the mass:
The formula to find the mass is:
[tex]\[
\text{mass} = \text{moles} \times \text{atomic mass}
\][/tex]
4. Plug in the values:
[tex]\[
\text{mass} = 39.1 \, \text{moles} \times 197.0 \, \text{g/mol}
\][/tex]
5. Perform the multiplication:
[tex]\[
\text{mass} = 7702.7 \, \text{grams}
\][/tex]
6. Round the answer to 3 significant figures:
The answer rounded to 3 significant figures is:
[tex]\[
7700 \, \text{grams}
\][/tex]
So, the mass of 39.1 moles of gold is approximately [tex]\( 7700 \)[/tex] grams.
1. Know the atomic mass of gold (Au):
The atomic mass of gold is [tex]\( 197.0 \)[/tex] grams per mole (g/mol).
2. Know the number of moles given:
The problem states that we have [tex]\( 39.1 \)[/tex] moles of gold.
3. Use the formula to calculate the mass:
The formula to find the mass is:
[tex]\[
\text{mass} = \text{moles} \times \text{atomic mass}
\][/tex]
4. Plug in the values:
[tex]\[
\text{mass} = 39.1 \, \text{moles} \times 197.0 \, \text{g/mol}
\][/tex]
5. Perform the multiplication:
[tex]\[
\text{mass} = 7702.7 \, \text{grams}
\][/tex]
6. Round the answer to 3 significant figures:
The answer rounded to 3 significant figures is:
[tex]\[
7700 \, \text{grams}
\][/tex]
So, the mass of 39.1 moles of gold is approximately [tex]\( 7700 \)[/tex] grams.
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