A mole is the unit of measurement in chemistry that allows you to compare one element to another.
For example, 1 mol of silver is equivalent to 1 mol of sodium in terms of the number of particles present.
It is however not correct to say that 1 gram of silver is equivalent to 1 gram of sodium in terms of the number of particles present. Silver is heavier, and therefore, less particles, or atoms, are required to make up 1 gram compared to sodium.
Basically, the mol measures the number of particles. Particles can be either individual atoms or molecules.
Avogrado's Constant is 6.02 x 1023. This basically means that 1 mol contains 6.02 x 1023 particles.
The molar mass is the mass of 1 mol of any given element or compound. (pretty much what is on the periodic table. MM sodium is 23, MM CO2 is 44 etc.)
Conversions:
Mol to mass (multiply by molar mass)
Mass to mol (divide by molar mass)
Mol to particles (multiply by Avogrado's Constant)
Particles to mol (divide by Avogrado's Constant)