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 copper sample in liters, we need to know the atomic radius of copper and the number of atoms in the sample. Given that the number of atoms in the sample is 3.6 x 10^8, we can use Avogadro's number to determine the amount of copper in moles.
1. Convert the number of copper atoms to moles:
- Divide the number of atoms by Avogadro's number, which is approximately 6.022 x 10^23 (mol^-1).
Number of moles = (3.6 x 10^8) / (6.022 x 10^23)
2. Now we can calculate the volume by using the equation:
- Volume = Number of moles x molar volume.
The molar volume is the volume occupied by one mole of any substance, which is approximately 22.41 liters at standard temperature and pressure (STP).
Volume = Number of moles x 22.41 liters
Plug in the calculated number of moles from step 1 into the equation above to get the volume in liters.
Note: Copper is a solid and its atoms are tightly packed, so the volume calculated here represents the volume of space occupied by the copper atoms.