Let's assume we have 1 liter (1000 mL) of the 0.5M lactic acid solution.
The molecular weight of lactic acid (C3H6O3) is:
12.01 g/mol (for 3 carbons) + 6(1.008 g/mol) (for 6 hydrogens) + 3(16.00 g/mol) (for 3 oxygens) = 90.08 g/mol
Now, we can calculate the grams of lactic acid in 1 liter of the 0.5M solution:
Molarity (M) = moles of solute / liters of solution
0.5 M = moles of lactic acid / 1 L
Moles of lactic acid = 0.5 M x 1 L = 0.5 moles
Grams of lactic acid = moles of lactic acid x molecular weight
Grams of lactic acid = 0.5 moles x 90.08 g/mol = 45.04 grams
Therefore, there are 45.04 grams of lactic acid in 1 liter of a 0.5M lactic acid solution.