Final answer:
To find the number of atoms in 14 moles of cadmium, multiply 14 by Avogadro's number (6.022 x 10²23) to get 8.4 x 10²24 atoms of cadmium.
Step-by-step explanation:
To calculate the number of atoms in 14 moles of cadmium, we use Avogadro's number, which is the number of atoms in one mole of any substance. Avogadro's number is approximately 6.022 x 1023 atoms per mole. Therefore, if we have 14 moles of cadmium, we need to multiply the number of moles by Avogadro's number to find the total number of atoms:
14 moles of cadmium x 6.022 x 1023 atoms/mole = 8.4308 x 1024 atoms of cadmium
When we express this value with two significant figures to match the precision given in Avogadro's number, we end up with:
8.4 x 1024 atoms of cadmium
Answer choice a) 8.4 x 1024 is the correct selection.