The concentration of an aqueous HC1 solution is 70% (w/v) with density equal to 1.17g/mL.The molarity of the solution will be: (a) 36.5 (c) 19.17 (b) 18.25 (d) 4.65​

Answer :

Answer:

The molarity of the HCl solution can be calculated using the given information.

Given:

- Concentration of HCl solution = 70% w/v (i.e., 70 g HCl in 100 mL solution)

- Density of the solution = 1.17 g/mL

First, let's find the mass of HCl in 100 mL of the solution:

\[ \text{Mass of HCl} = \text{Concentration} \times \text{Volume} \]

\[ \text{Mass of HCl} = 70 \text{ g/100 mL} \times 100 \text{ mL} = 70 \text{ g} \]

Next, determine the volume of 100 mL of the solution in liters:

\[ \text{Volume of solution} = 100 \text{ mL} \times \frac{1 \text{ L}}{1000 \text{ mL}} = 0.1 \text{ L} \]

Now, calculate the molarity using the formula:

\[ \text{Molarity} = \frac{\text{Moles of solute}}{\text{Volume of solution in liters}} \]

First, find the moles of HCl:

\[ \text{Moles of HCl} = \frac{\text{Mass of HCl}}{\text{Molar mass of HCl}} \]

The molar mass of HCl (hydrochloric acid) is approximately 36.5 g/mol.

\[ \text{Moles of HCl} = \frac{70 \text{ g}}{36.5 \text{ g/mol}} \approx 1.92 \text{ mol} \]

Finally, calculate the molarity:

\[ \text{Molarity} = \frac{1.92 \text{ mol}}{0.1 \text{ L}} = 19.2 \text{ mol/L} \]

So, the molarity of the HCl solution is approximately 19.2 mol/L. The closest option provided is (c) 19.17 Mol/L.

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