Calculate each of the following:
a. number of $\mathrm{C}$ atoms in $0.500 \mathrm{~mol}$ of $\mathrm{C}$
b. number of $\mathrm{SO}_{2}$ molecules in $1.28 \mathrm{~mol}$ of $\mathrm{SO}_{2}$
c. moles of $\mathrm{Fe}$ in $5.22 \times 10^{22}$ atoms of $\mathrm{Fe}$
d. moles of $\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}$ in $8.50 \times 10^{24}$ molecules of $\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}$