A spoon of sterling silver is 92.5% silver by mass and the rest is made of other metals, usually copper. If the spoon contains 0.557 mol of silver, what is the mass of the spoon?
0.557 mol x atomic mass Ag = mass Ag
(mass Ag/mass sample)*100 = % Ag
Substitute and solve fo mass samle.
To find the mass of the spoon, we first need to calculate the molar mass of silver (Ag). The molar mass of silver is 107.87 g/mol.
Given that the spoon contains 0.557 mol of silver, we can multiply the amount of silver by its molar mass to find the mass of silver in the spoon:
Mass of silver = 0.557 mol * 107.87 g/mol = 60.076 g
Since the spoon is made of 92.5% silver by mass, we can set up the following equation:
Mass of silver / Total mass of the spoon = 92.5% / 100%
Total mass of the spoon = Mass of silver / (92.5% / 100%)
Plugging in the values we calculated earlier:
Total mass of the spoon = 60.076 g / (0.925) = 64.975 g
Therefore, the mass of the spoon is approximately 64.975 grams.