Question

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?

Answer 1

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

Step-by-step 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:

`\text{Molarity}=\frac{\text{Number of moles of solute}}{\text{Volume of solution (in L)}}`

OR

`\text{Molarity}=\frac{\text{Given mass of solute }* 1000}{\text{Molar mass of solute }* \text{Volume of solution (in mL)}}` ......(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:

`0.84=\frac{\text{Mass of acetic acid }* 1000}{60 * 30}\\\\\text{Mass of acetic acid}=(0.84 * 60* 30)/(1000)\\\\\text{Mass of acetic acid}=1.512 g`

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