No, different copper atoms do not have different masses of moles. The concept of a mole is based on the atomic mass unit (amu), which is defined as 1/12th the mass of a carbon-12 atom. The mole is a unit of measurement that represents a specific number of entities, such as atoms, molecules, or ions. This number is known as Avogadro's number and is approximately 6.022 × 10^23 entities per mole.
In the case of copper, the atomic mass of copper (Cu) is approximately 63.55 g/mol. This means that one mole of copper atoms has a mass of 63.55 grams. It is important to note that this mass is an average value considering the natural abundance of copper isotopes.
When you are asked to calculate the "mass of a mole of copper atoms" after electrolysis, you are likely being asked to calculate the mass of copper deposited or liberated during the electrolysis process. In this case, you would need to know the number of moles of copper that were involved in the electrolysis reaction and then calculate the corresponding mass using the molar mass of copper (63.55 g/mol).