A sample of table sugar (sucrose, C12H22O11) has a mass of 1.202 g.

C. Calculate the moles of each element (C, H, and O) in sucrose. Show work.

D. Calculate the number of atoms of each element (C, H, and O) in sucrose. Show work.

1 answer

C. To calculate the moles of each element in sucrose, we need to know the molar mass of sucrose, which is the sum of the molar masses of all the atoms in the molecule:

Molar mass of C: 12.01 g/mol (atomic mass of carbon)
Molar mass of H: 1.01 g/mol (atomic mass of hydrogen)
Molar mass of O: 16.00 g/mol (atomic mass of oxygen)

Molar mass of sucrose = (12.01 x 12) + (1.01 x 22) + (16.00 x 11) = 342.296 g/mol

Now we can use the mass of the sample and the molar mass of sucrose to calculate the moles of each element:

Moles of C = (12.01 g/mol x 12) / 342.296 g/mol = 0.422 mol
Moles of H = (1.01 g/mol x 22) / 342.296 g/mol = 0.065 mol
Moles of O = (16.00 g/mol x 11) / 342.296 g/mol = 0.513 mol

D. To calculate the number of atoms of each element in sucrose, we can use Avogadro's number (6.022 x 10^23 atoms/mol) and multiply it by the number of moles of each element we calculated in part C:

Number of atoms of C = 0.422 mol x 6.022 x 10^23 atoms/mol = 2.54 x 10^23 atoms
Number of atoms of H = 0.065 mol x 6.022 x 10^23 atoms/mol = 3.92 x 10^22 atoms
Number of atoms of O = 0.513 mol x 6.022 x 10^23 atoms/mol = 3.09 x 10^23 atoms