Final answer:
To find the mass of copper with the same number of atoms as in 14.03 mg of potassium, we utilize Avogadro's number and the atomic masses to first calculate the number of potassium atoms and then convert that to the equivalent mass of copper.
Step-by-step explanation:
To determine the mass of copper that has the same number of atoms as there are in 14.03 mg of potassium, we need to use Avogadro's number and the atomic masses of both elements. First, we calculate the number of moles of potassium using its atomic mass (39.10 g/mol) and the given mass (14.03 mg, which is 0.01403 g). Once we have the number of moles of potassium, we can find the number of atoms using Avogadro's number. This will be the same number of copper atoms we need, as per the question.
Finally, using the atomic mass of copper (63.54 g/mol), we can determine the mass of copper with the same number of atoms.
The calculation steps are as follows:
Calculate moles of K: Moles of K = 0.01403 g / 39.10 g/mol.
Find number of K atoms using Avogadro's number.
Calculate the equivalent mass of copper (in mg) using the same number of atoms.
By the end, you will have the mass of copper in milligrams that has the same number of atoms as 14.03 mg of potassium.