The number of moles of sulfuric acid in 500 mL of a 0.324 M solution can be calculated using the formula:

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

First, we need to convert the volume from milliliters (mL) to liters (L):

500 mL = 500 / 1000 L = 0.5 L

Now, we can calculate the moles of sulfuric acid:

Moles of sulfuric acid = 0.324 M x 0.5 L = 0.162 moles

Therefore, there are 0.162 moles of sulfuric acid in 500 mL of a 0.324 M solution.