Final answer:
The percent by mass of carbon in acetic acid (HC2H3O2) is calculated using the molar masses of its constituent elements. Upon calculation, it is determined that the percent by mass of carbon in acetic acid is 40.00%.
Step-by-step explanation:
To calculate the percent by mass of carbon in acetic acid (HC2H3O2), we need to use the molar masses of the elements involved. The formula for acetic acid includes two carbon atoms, four hydrogen atoms, and two oxygen atoms. Using the given molar masses (carbon: 12.01 g/mol, hydrogen: 1.008 g/mol, oxygen: 16.00 g/mol), the molar mass of acetic acid can be calculated as follows:
- Carbon: 2 × 12.01 g/mol = 24.02 g/mol
- Hydrogen: 4 × 1.008 g/mol = 4.032 g/mol
- Oxygen: 2 × 16.00 g/mol = 32.00 g/mol
Adding these together gives the molar mass of acetic acid as 60.052 g/mol.
To find the percent by mass of carbon, we take the total mass of carbon in the compound and divide it by the total molar mass of the compound:
(24.02 g/mol / 60.052 g/mol) × 100% = 40.00%
Therefore, the percent by mass of carbon in acetic acid is 40.00%.