Question

A commercial-grade hydrochloric acid (HCl) solution is usually 39.0% (by mass) HCl in water. Calculate the molarity of the HCl if the solution has a density of 1.20 g/ml.

Options:
a) 13.9 M
b) 12.8 M
c) 10.7 M
d) 9.35 M
e) 7.79 M

Answer 1

The molarity of the HCl solution can be calculated using the formula: Molarity = (mass of solute / molar mass of solute) / volume of solution. However, the molarity value cannot be determined without knowing the volume of the solution.

Step-by-step explanation:

The molarity of the HCl solution can be calculated using the formula:

Molarity = (mass of solute / molar mass of solute) / volume of solution

First, we need to calculate the mass of HCl in the solution:

Mass of HCl = density of solution * volume of solution * mass percentage of HCl

Mass of HCl = 1.20 g/mL * volume of solution * 0.39

Next, we can calculate the molarity:

Molarity = (mass of HCl / molar mass of HCl) / volume of solution

Molarity = (mass of HCl / 36.46 g/mol) / volume of solution

Substituting the known values, we get:

Molarity = (1.20 g/mL * volume of solution * 0.39 / 36.46 g/mol) / volume of solution

Simplifying the equation, we get:

Molarity = 0.0316 / volume of solution

Therefore, the molarity of the HCl solution cannot be determined without knowing the volume of the solution. Please provide the volume of the solution to calculate the molarity.