Final answer:
0.5 mol of diamond contains 3.01 x 10^23 carbon atoms.
Step-by-step explanation:
To find the number of carbon atoms in 0.5 mol of diamond, we can use Avogadro's number. Avogadro's number is defined as 6.02 x 1023 atoms/mol. So, when we multiply 0.5 mol by Avogadro's number, we get the number of carbon atoms.
0.5 mol x 6.02 x 1023 atoms/mol = 3.01 x 1023 atoms.
Therefore, the correct answer is Option A) 6.02 x 1023.