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.
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.