How many moles of silver atoms are in 2.8 x 10^20 of silver?

recall that one mole of any substance is equal to Avogadro's number, which is

6.02 x 10^23
this number can be atoms, molecules, ions, etc.
to get the number of moles, we just divide the given by the Avogadro's number:
2.8 x 10^20 / 6.02 x 10^23 = ?

4.65x10^-4mol

To find the number of moles of silver atoms, we need to use Avogadro's number and the molar mass of silver.

1. First, let's find the molar mass of silver (Ag). According to the periodic table, the atomic mass of silver is approximately 107.87 g/mol.

2. Next, we can calculate the number of moles using the formula:
Moles = Given mass / Molar mass

Given mass = 2.8 x 10^20 silver atoms
Molar mass of silver (Ag) = 107.87 g/mol

Moles = (2.8 x 10^20) / (6.022 x 10^23 atoms/mol)
= 4.64 x 10^-4 moles

Therefore, there are approximately 4.64 x 10^-4 moles of silver atoms in 2.8 x 10^20 silver atoms.

To calculate the number of moles of silver atoms, we can use Avogadro's number and the molar mass of silver.

1. Determine the molar mass of silver (Ag).
The molar mass of silver is approximately 107.87 grams per mole (g/mol). This value can be found on the periodic table.

2. Convert the given quantity of silver into grams.
In the question, it is given that there are 2.8 x 10^20 silver atoms. To convert this into grams, we need to divide by Avogadro's number. Avogadro's number is approximately 6.022 x 10^23 atoms per mole.

Quantity in grams = (2.8 x 10^20) / (6.022 x 10^23) grams

3. Calculate the number of moles.
Now, we divide the quantity in grams by the molar mass.

Moles of silver = (Quantity in grams) / (Molar mass of silver)

Moles of silver = [(2.8 x 10^20) / (6.022 x 10^23)] / 107.87 grams/mol

After performing the calculations, you will obtain the number of moles of silver atoms in 2.8 x 10^20 silver atoms.