Suppose you were preparing 1.0 L of a bleaching solution in a volumetric flask, and it calls for 0.21 mol of NaOCl. If all you had available was a jug of bleach that contained 0.82 M NaOCl, what volume of bleach would you need to add to the volumetric flask before you added enough water to reach the 1.0 L line?

Respuesta :

Answer:

0.256 L  

Explanation:

We should use the following formula:

concentration (1) × volume (1) =  concentration (2) × volume (2)

concentration (1) = 0.82 M NaOCl

volume (1) = ?

concentration (2) = 0.21 M NaOCl

volume (2) = 1 L

volume (1) = [concentration (2) × volume (2)] / concentration (1)

volume (1) = [0.21 / 1] / 0.82 = 0.256 L

To prepare 1.0 L of a bleaching solution that contains 0.21 mol of NaOCl, we need 0.26 L of a 0.82 M NaOCl solution.

We want to prepare 1.0 L (V₂) of a solution that contains 0.21 mol of NaOCl. The molar concentration (C₂) of the solution is:

[tex]C_2 = \frac{0.21 mol}{1.0L} = 0.21 M[/tex]

We will start from a 0.82 M (C₁) NaOCl solution and dilute it. We can calculate the volume (V₁) of this concentrated solution using the dilution rule.

[tex]C_1 \times V_1 = C_2 \times V_2\\\\V_1 = \frac{C_2 \times V_2}{C_1} = \frac{0.21M \times 1.0L}{0.82M} = 0.26 L[/tex]

To prepare 1.0 L of a bleaching solution that contains 0.21 mol of NaOCl, we need 0.26 L of a 0.82 M NaOCl solution.

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