Final answer:
To find the number of carbon atoms in 5.50 g of carbon, you can set up a proportion using the conversion factor 12 g C = 6.022 x 10^23 atoms C. Solving for x, you would get 2.76 x 10^23 atoms of carbon.
Step-by-step explanation:
To find the number of carbon atoms in 5.50 g of carbon, we can use the conversion factor provided: 12 g C = 6.022 x 1023 atoms C. This means that 12 g of carbon contains 6.022 x 1023 carbon atoms. To find the number of atoms in 5.50 g of carbon, we can set up a proportion:
12 g/6.022 x 1023 atoms = 5.50 g/x atoms
Solving for x, we get:
x atoms = (5.50 g)(6.022 x 1023 atoms)/(12 g) = 2.76 x 1023 atoms