The mass of a single silver atom is 1.79E-22 grams. How many silver atoms would there be in 153 milligrams of silver?
1.79E-22 g x # atoms = 0.153 g
Solve for # atoms.
To determine the number of silver atoms in 153 milligrams of silver, we need to use the atomic mass of silver and convert the mass from milligrams to grams. Here are the steps to solve this problem:
Step 1: Convert the mass from milligrams to grams:
1 gram = 1000 milligrams
Therefore, 153 milligrams = 153/1000 = 0.153 grams
Step 2: Now, we need to find the number of moles of silver using the molecular mass of silver. The molecular mass of silver is given as 1.79E-22 grams per atom.
Step 3: Divide the mass in grams by the molecular mass of silver to find the number of moles:
Number of moles = mass (in grams) / molecular mass
Number of moles = 0.153 grams / 1.79E-22 grams per atom
Step 4: Compute the number of atoms using Avogadro's number. Avogadro's number is approximately 6.022 × 10^23 atoms/mol.
Number of atoms = Number of moles * Avogadro's number
Number of atoms = (0.153 grams / 1.79E-22 grams per atom) * (6.022 × 10^23 atoms/mol)
Now, let's calculate the number of silver atoms: