The mass of a single silver atom is 1.79E-22 grams. How many silver atoms would there be in 112 milligrams of silver?

Follow the same process Cavadz show you in the Ba diameter problem a few posts above.

To find the number of silver atoms in 112 milligrams of silver, we can use the atomic mass of silver and convert the mass of the sample into grams. Then, we can use Avogadro's number, which states that there are 6.022 x 10^23 atoms in one mole of substance, to calculate the number of silver atoms.

Here's how to proceed step by step:

1. Convert the mass of the sample from milligrams to grams. Since 1 gram = 1000 milligrams, we have:
112 milligrams = 112 / 1000 = 0.112 grams

2. Determine the number of moles of silver in the sample. To do this, we divide the mass of the sample by the atomic mass of silver:
Number of moles = Mass of sample / Atomic mass of silver

The atomic mass of silver is given as 1.79E-22 grams, which can be written as 1.79 x 10^-22 grams. Therefore:
Number of moles = 0.112 grams / (1.79 x 10^-22 grams) = 6.257 x 10^19 moles

3. Use Avogadro's number to find the number of silver atoms. There are 6.022 x 10^23 atoms in one mole of a substance, so:
Number of silver atoms = Number of moles x Avogadro's number

Substituting the values we calculated:
Number of silver atoms = 6.257 x 10^19 moles x (6.022 x 10^23 atoms/mole)
Number of silver atoms = 3.764 x 10^43 atoms

Therefore, there are approximately 3.764 x 10^43 silver atoms in 112 milligrams of silver.