To find the number of molecules in a 5.15 g sample of dimethylmercury (C2H6Hg), first calculate its molar mass: approximately 230.59 g/mol. Then, use the formula ( \text{moles} = \frac{\text{mass}}{\text{molar mass}} ) to find the number of moles in the sample: ( \frac{5.15 \text{ g}}{230.59 \text{ g/mol}} \approx 0.0223 \text{ moles} ). Finally, multiply the number of moles by Avogadro's number (approximately ( 6.022 \times 10^{23} ) molecules/mol) to find the number of molecules: ( 0.0223 \text{ moles} \times 6.022 \times 10^{23} \approx 1.34 \times 10^{22} ) molecules.