Answer: The percent of [tex]HC_2H_3O_2[/tex] in vinegar 5.04%.
Solution:
Given :
Moles of the [tex]HC_2H_3O_2[/tex] in 5 mL vinegar solution: 0.0042 moles
Molecular mass of the [tex]HC_2H_3O_2[/tex] = 60.0g/mol
[tex]\text{Number of moles}=\frac{\text{Given mass of the substance}}{\text{Molecular mass of the substance}}[/tex]
Mass of [tex]HC_2H_3O_2[/tex] in 5 mL vinegar solution = [tex]\text{Number of moles of}HC_2H_3O_2\times \text{Molecular mass of the}HC_2H_3O_2=0.0042mol\times 60.0g/mol=0.252 g[/tex]
The formula to determine the percent of [tex]HC_2H_3O_2[/tex] in vinegar :
[tex]=\frac{\text{Mass of}HC_2H_3O_2\times 100}{\text{volume of vinegar used (ml)}}=\frac{0.252\times 100}{5 mL}=5.04\%[/tex]
So, The percent of [tex]HC_2H_3O_2[/tex] in vinegar 5.04%.