The density of copper is 8.96 g cm^−3 and its molar
mass is 64 g mol^−1.
Calculate the mass of 1 atom of copper.
64 grams/ mol * (1 mol / 6*10^23 atoms)
Google Avogadro number
To calculate the mass of 1 atom of copper, we need to use the molar mass and Avogadro's number.
Step 1: Determine the mass of one mole of copper atoms.
The molar mass of copper is given as 64 g mol^-1.
Step 2: Convert the molar mass to grams per atom.
Divide the molar mass by Avogadro's number, which is approximately 6.022 x 10^23 particles per mole.
64 g mol^-1 ÷ (6.022 x 10^23 atoms/mol) = 1.06 x 10^-22 g/atom
Therefore, the mass of 1 atom of copper is approximately 1.06 x 10^-22 grams.
To calculate the mass of 1 atom of copper, you can follow these steps:
Step 1: Find the mass of 1 mole of copper.
Given that the molar mass of copper is 64 g/mol, this means that 1 mole of copper atoms weighs 64 grams.
Step 2: Calculate the number of atoms in 1 mole of copper.
Avogadro's number tells us that there are 6.022 x 10^23 atoms in 1 mole.
Step 3: Convert the density of copper to volume.
Given that the density of copper is 8.96 g/cm^3, this means that 1 cm^3 of copper has a mass of 8.96 grams.
Step 4: Calculate the volume of 1 copper atom.
Since the density is given in grams per cubic centimeter (g/cm^3), we can say that 1 cm^3 of copper is equal to the mass of 1 mole of copper: 8.96 grams.
Step 5: Calculate the mass of 1 atom of copper.
We need to find the mass of one atom of copper, so we divide the mass of 1 mole of copper by Avogadro's number (6.022 x 10^23) to get the mass of 1 atom.
Mass of 1 mole of copper = 64 g
Number of atoms in 1 mole of copper = 6.022 x 10^23 atoms
Mass of 1 atom of copper = (64 g) / (6.022 x 10^23 atoms) = (64 / 6.022) x (10^-23 g/atom)
Mass of 1 atom of copper = 1.064 x 10^-22 g/atom
Therefore, the mass of 1 atom of copper is approximately 1.064 x 10^-22 grams.