Final answer:
To find the number of moles of potassium from 7.5 x 10^25 atoms, divide by Avogadro's number (6.022 x 10^23), resulting in about 124.5 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 utilize Avogadro's number, which is 6.022 x 1023 atoms per mole. This is a constant that relates the number of particles to moles. The formula to find the number of moles (n) is:
n = Number of atoms ÷ Avogadro's number
By substituting the given values into the formula, we have:
n = 7.5 x 1025 ÷ 6.022 x 1023
After carrying out the division:
n ≈ 124.5 moles of potassium
This calculation shows that there are approximately 124.5 moles of potassium in the given number of atoms.