Answer:
The molarity (M) of a solution is calculated by dividing the moles of solute by the volume of solution in liters.
First, we need to calculate the moles of aluminum chloride:
moles of AlCl3 = mass / molar mass
moles of AlCl3 = 20.0 g / 133.34 g/mol
moles of AlCl3 = 0.150 mol
Next, we need to convert the volume of solution from milliliters to liters:
volume of solution = 500 mL / 1000 mL/L
volume of solution = 0.500 L
Finally, we can calculate the molarity of the solution:
Molarity = moles of solute / volume of solution
Molarity = 0.150 mol / 0.500 L
Molarity = 0.30 M
Therefore, the molarity of the aluminum chloride solution is 0.30 M.