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Vinegars can be 5-20% acetic acid solutions and has been used for medicinal purposes for thousands of years. If a person takes 30 mL of vinegar a day and the molarity of the vinegar is 0.84 M, then how many grams of acetic acid (HC2H3O2) will be consumed?

Sagot :

Answer: The mass of acetic acid that will be consumed is 1.512 g.

Explanation:

Molarity is defined as the moles of solute present per liter of the solution.

The formula used to calculate the molarity of the solution is:

[tex]\text{Molarity}=\frac{\text{Number of moles of solute}}{\text{Volume of solution (in L)}}[/tex]

                       OR

[tex]\text{Molarity}=\frac{\text{Given mass of solute }\times 1000}{\text{Molar mass of solute }\times \text{Volume of solution (in mL)}}[/tex]          ......(1)

Given values:

Molarity of acetic acid = 0.84 M

Volume of solution = 30 mL

Molar mass of acetic acid = 60 g/mol

Plugging values in equation 1:

[tex]0.84=\frac{\text{Mass of acetic acid }\times 1000}{60 \times 30}\\\\\text{Mass of acetic acid}=\frac{0.84 \times 60\times 30}{1000}\\\\\text{Mass of acetic acid}=1.512 g[/tex]

Hence, the mass of acetic acid that will be consumed is 1.512 g.