35.0 mL of stock hydrochloric acid solution is added to a 500 mL volumetric flask. A student adds distilled water up to the line. Using a pH meter and logarithms, he finds the molarity of the new solution to be 0.062 M HCl. What is the molarity of the stock solution?

Respuesta :

Answer:

Molarity of stock HCl solution is 0.89 M

Explanation:

The given problem can be solved using laws of dilution.

According to laws of dilution-    [tex]C_{1}V_{1}=C_{2}V_{2}[/tex]

Where, [tex]C_{1}[/tex] and [tex]C_{2}[/tex] are initial and final concentration of a solution

            [tex]V_{1}[/tex] and [tex]V_{2}[/tex] are initial and final volume of a solution

Here, [tex]V_{1}=35.0mL[/tex], [tex]C_{2}=0.062M[/tex] and [tex]V_{2}=500mL[/tex]

So, [tex]C_{1}=\frac{C_{2}V_{2}}{V_{1}}[/tex] = [tex]\frac{(0.062M)\times (500mL)}{35.0mL}[/tex] = 0.89 M

Hence, molarity of stock HCl solution is 0.89 M

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