Questions: What is the empirical formula of acetic acid, HC2H3O2?
A HCO
B H2C4H6O4
C H2CO
D CO2
Transcript text: What is the empirical formula of acetic acid, $\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}$ ?
A
HCO
B
\[
\mathrm{H}_{2} \mathrm{C}_{4} \mathrm{H}_{6} \mathrm{O}_{4}
\]
C
\[
\mathrm{H}_{2} \mathrm{CO}
\]
D
\[
\mathrm{CO}_{2}
\]
Solution
Solution Steps
Step 1: Determine the Molecular Formula of Acetic Acid
The molecular formula of acetic acid is given as \(\mathrm{HC}_{2}\mathrm{H}_{3}\mathrm{O}_{2}\). This can be rewritten as \(\mathrm{C}_{2}\mathrm{H}_{4}\mathrm{O}_{2}\) to clearly show the number of each type of atom.
Step 2: Calculate the Simplest Whole Number Ratio
To find the empirical formula, we need to determine the simplest whole number ratio of the atoms in the compound. The molecular formula \(\mathrm{C}_{2}\mathrm{H}_{4}\mathrm{O}_{2}\) indicates there are 2 carbon atoms, 4 hydrogen atoms, and 2 oxygen atoms.
Step 3: Simplify the Ratio
Divide each subscript in the molecular formula by the greatest common divisor of the subscripts, which is 2 in this case:
Carbon: \(\frac{2}{2} = 1\)
Hydrogen: \(\frac{4}{2} = 2\)
Oxygen: \(\frac{2}{2} = 1\)
Thus, the empirical formula is \(\mathrm{CH}_{2}\mathrm{O}\).
Final Answer
The empirical formula of acetic acid is \(\boxed{\mathrm{CH}_{2}\mathrm{O}}\).
Note: The correct answer is not listed among the options provided.