Final answer:
To calculate the number of molecules of butane in the sample, we first calculate the number of moles of carbon and then convert it to moles of butane. Finally, we convert the moles of butane to the number of molecules of butane.
Step-by-step explanation:
To determine the number of molecules of butane in the sample, we need to first calculate the number of moles of carbon in the sample. The molar mass of carbon is 12.01 g/mol, so the number of moles of carbon can be calculated using the given number of atoms of carbon:
Number of moles of carbon = (8.0 x 10^3 atoms of carbon) / (6.02 x 10^23 atoms/mol) = 1.33 x 10^-20 mol
Next, we can determine the number of moles of butane by dividing the number of moles of carbon by 4 (since there are 4 carbon atoms in 1 molecule of butane):
Number of moles of butane = (1.33 x 10^-20 mol) / 4 = 3.33 x 10^-21 mol
Finally, we can convert the number of moles of butane to the number of molecules of butane:
Number of molecules of butane = (3.33 x 10^-21 mol) x (6.02 x 10^23 molecules/mol) = 2.00 x 10^3 molecules