A piece of copper contains 3.6 x 10^8 atoms. What is the volume of the sample in units of liters?
I know that first you have to get atoms to cancel out but them I do not know what to do.
To find the volume of the sample, we need to use the concept of molar volume, which is the volume occupied by one mole of a substance. This value is experimentally determined to be approximately 22.4 liters/mol at standard temperature and pressure.
First, we need to find the number of moles of copper in the sample. To do this, we can use Avogadro's number, which states that there are 6.022 x 10^23 atoms in one mole of any substance.
Given: Number of atoms = 3.6 x 10^8 atoms
Step 1: Convert the number of atoms to moles.
Number of moles = (Number of atoms) / (Avogadro's number)
Number of moles = 3.6 x 10^8 / (6.022 x 10^23)
Number of moles ≈ 5.98 x 10^-16 moles
Step 2: Convert moles to liters using molar volume.
Volume = (Number of moles) * (Molar volume)
Volume = (5.98 x 10^-16 moles) * (22.4 liters/mol)
Volume ≈ 1.34 x 10^-14 liters
The volume of the copper sample is approximately 1.34 x 10^-14 liters.