Final answer:
To find the thickness of a monolayer, measure the distance between two parallel surfaces coated with the monolayer. The size of one carbon atom is approximately 0.077 nanometers. The volume of one mole of carbon can be calculated by multiplying the volume of one carbon atom by Avogadro's number.
Step-by-step explanation:
The thickness of a monolayer can be determined by measuring the distance between two parallel surfaces coated with a monolayer. For example, if the distance between the surfaces is 2 nanometers, then the thickness of the monolayer is 1 nanometer.
The size of one carbon atom can be estimated using the atomic radius, which is approximately 0.077 nanometers for carbon.
The volume of one carbon atom can be calculated using the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius of the atom. Assuming the atomic radius of carbon is 0.077 nanometers, the volume of one carbon atom is approximately 9.98 x 10^-25 cubic meters.
The volume of one mole of carbon can be calculated by multiplying the volume of one carbon atom by Avogadro's number (6.022 x 10^23 atoms/mole). Thus, the volume of one mole of carbon is approximately 0.0602 cubic meters.
Avogadro's number is a fundamental constant of nature and represents the number of atoms or molecules in one mole of a substance. It is equal to 6.022 x 10^23 atoms/mole or 6.022 x 10^23 molecules/mole.