Final answer:
The number of moles of potassium in 7.5 x 10^25 atoms is calculated by dividing the total number of atoms by Avogadro's number (6.022 x 10^23 atoms/mol), resulting in 124.54 moles of potassium.
Step-by-step explanation:
To determine the number of moles of potassium in 7.5 x 1025 atoms of Potassium (K), we can use Avogadro's number, which is approximately 6.022 x 1023 atoms/mol. By dividing the total number of atoms by Avogadro's number, we can find the number of moles:
Number of moles = 7.5 x 1025 atoms ÷ 6.022 x 1023 atoms/mol
Calculating this value gives us:
Number of moles = 124.54 mol
Therefore, there are 124.54 moles of potassium in 7.5 x 1025 atoms.