Final answer:
To determine the greatest number of atoms, we need to calculate the number of atoms in each given option using Avogadro's number. The option with the largest number of atoms is c. 2.11 x 10^24 atoms of potassium.
Step-by-step explanation:
The greatest number of atoms can be determined by calculating the number of atoms in each given option. To calculate the number of atoms, we can use Avogadro's number, which tells us that there are approximately 6.022 x 10^23 atoms in one mole of any substance.
a. 3.50 moles of potassium: To calculate the number of atoms, we multiply the number of moles by Avogadro's number. In this case, the number of atoms would be 3.50 x 6.022 x 10^23.
b. 136.84 g of potassium: To calculate the number of atoms, we need to convert grams to moles first using the molar mass of potassium, which is approximately 39.10 g/mol. Then, we multiply the number of moles by Avogadro's number.
c. 2.11 x 10^24 atoms of potassium: This option already provides the exact number of atoms.
Comparing the numbers in each option, we can see that option c has the greatest number of atoms. Therefore, the correct answer is c. 2.11 x 10^24 atoms of potassium.
Learn more about Calculating the number of atoms in a given quantity of a substance