Question

If a solution of ascorbic acid (vitamin C, C6, H8, O6) has a molarity of 0.0875 M, how many milliliters of solution are needed to obtain 5.60g of ascorbic acid? (The molar mass of ascorbic acid is 176.12 g/moL)
Write your answer using three significant figures.

Answer 1

First, we need to calculate the number of moles of ascorbic acid needed to obtain 5.60g:

Number of moles = mass / molar mass
Number of moles = 5.60g / 176.12 g/mol
Number of moles = 0.0318 mol

Next, we can use the molarity equation to find the volume of the solution:

Molarity = moles / volume (in liters)
0.0875 M = 0.0318 mol / volume (in liters)

Rearranging the equation to solve for the volume:

volume (in liters) = 0.0318 mol / 0.0875 M
volume (in liters) = 0.363 L

To convert liters to milliliters, we can multiply by 1000:

volume (in milliliters) = 0.363 L * 1000 mL/L
volume (in milliliters) = 363 mL

Therefore, 363 milliliters of solution are needed to obtain 5.60g of ascorbic acid.