Question

What is the volume of vinegar in liters, given its molarity is 0.807 and its mass is 8.11g? a) 10 L b) 0.1 L c) 100 mL d) 0.01 L

Answer 1

To find the vinegar's volume using its molarity and mass, calculate the moles of acetic acid from the mass, then divide by the molarity to find liters. The calculation results in approximately 0.167 liters, which does not match any of the given answer options.

Step-by-step explanation:

To calculate the volume of vinegar, given its molarity and mass, you first need to find the number of moles of the solute (in this case, acetic acid) contained in the given mass. The molar mass of acetic acid (HC2H3O2) is approximately 60.05 g/mol. By dividing the mass of acetic acid by its molar mass, you can find the number of moles.

Number of moles = Mass / Molar Mass

Using the data from the question: 8.11 g / 60.05 g/mol = 0.135 moles (approximately).

Next, we can use the definition of molarity, which is moles of solute per liter of solution:

Molarity (M) = Moles of solute / Volume of solution (L)

Rearrange to find the volume:

Volume of solution (L) = Moles of solute / Molarity (M)

Using the given molarity of 0.807 M:

Volume = 0.135 moles / 0.807 M = 0.167 L (approximately)

This conversion shows that none of the provided answer options are correct. The volume of vinegar is approximately 0.167 liters, not 10 L, 0.1 L, 100 mL, or 0.01 L.