Final answer:
There are 4.817 × 1024 electrons in 16 g of carbon. This calculation is based on the number of atoms in the sample and the fact that each carbon atom has 6 electrons.
Step-by-step explanation:
To calculate the number of electrons in 16 g of carbon, we first need to know the number of carbon atoms in 16 g. We use Avogadro's number for the conversion because 12 g of carbon equals to 6.022 × 1023 carbon atoms. Therefore, to find the number of atoms in 16 g of carbon we do the following:
(16 g C) × (6.022 × 1023 atoms C / 12 g C) = 8.029 × 1023 atoms C
Since each carbon atom has 6 protons, they must also have 6 electrons to be neutral in charge. Multiplying the number of carbon atoms by the number of electrons per atom gives us the total number of electrons in 16 g of carbon:
(8.029 × 1023 atoms C) × (6 electrons/atom C) = 4.817 × 1024 electrons