Answer:
[tex]\boxed {\boxed {\sf 3.02 \ mol \ Ag}}[/tex]
Explanation:
We want to convert grams of silver to moles of silver. We can do this in 2 steps.
1. Convert Grams to Moles
We can convert grams to moles using the molar mass. It tells us the mass of 1 mole of a substance.
This is a value found on the Periodic Table. It is the same value as the atomic mass, but the units are grams per mole (g/mol) instead of atomic mass units (amu). Look up silver's molar mass.
Let's make a ratio using the molar mass.
[tex]\frac{107.868 \ g\ Ag}{ 1 \ mol \ Ag}[/tex]
Since we are converting 326 grams to moles, we multiply by that value.
[tex]326 \ g\ Ag*\frac{107.868 \ g\ Ag}{ 1 \ mol \ Ag}[/tex]
Flip the ratio so the units of grams of silver cancel.
[tex]326 \ g\ Ag*\frac{ 1 \ mol \ Ag}{107.868 \ g\ Ag}[/tex]
[tex]326*\frac{ 1 \ mol \ Ag}{107.868}[/tex]
[tex]\frac{ 326}{107.868} \ mol \ Ag[/tex]
[tex]3.02221233359 \ mol \ Ag[/tex]
2. Round
The original measurement of mass (326 grams) has 3 significant figures, so our answer must have the same.
For the number we found, that is the hundredth place. The 2 in the thousandth place (3.02221233359) tells us to leave the 2 in the hundredth place.
[tex]3.02 \ mol \ Ag[/tex]
A silver watchband with a mass of 326 grams is equal to 3.02 moles of silver.
