What is the molarity of a hydrochloric acid solution prepared by diluting 500.0 mL of 1.00 M HCl to a total volume of 2.50 L?

Question

Quizplus · Accepted Answer

Molarity (M) is defined as moles of solute per liter of solution.

First, we need to find the number of moles of HCl in the initial solution:

moles of HCl = M x L 
moles of HCl = 1.00 mol/L x 0.5000 L 
moles of HCl = 0.500 mol

Next, we need to find the final volume of the solution after dilution:

V1 x C1 = V2 x C2

V1 = initial volume = 500.0 mL = 0.5000 L 
C1 = initial concentration = 1.00 M 
V2 = final volume = 2.50 L 
C2 = final concentration (unknown)

Solving for C2:

C2 = (V1 x C1) / V2 
C2 = (0.5000 L x 1.00 mol/L) / 2.50 L 
C2 = 0.200 M

Therefore, the molarity of the diluted HCl solution is 0.200 M. The best choice is B.

What Is the Molarity of a Hydrochloric Acid Solution Prepared