3.2473 g of Na2CrO4 (MW = 161.97 g/mol) is dissolved in 100.0 mL of water. Assuming the solution has a density of 1.00 g/mL, what is the concentration of Na (MW = 22.9898 g/mol) in the solution in units of (a) molarity (M)? (b) parts per thousand (ppt)? (c) 10.0 mL of the solution is then diluted to a final volume of 1000.0 mL. What is the concentration of Na in the diluted solution in units of parts per million (ppm)?

Respuesta :

Answer:

a) 0.400 mol/L

b) 9.20 ppt

c) 91.96 ppm

Explanation:

The first step is considereing the dissociation of the salt in water:

Na₂CrO₄ (s) → 2Na⁺ (aq) + CrO₄²⁻ (aq)

This means that for every mol of Na₂CrO₄ 2 mol of Na⁺ will be produced.

a) molarity

[tex]C = \frac{n/ mol}{V / L} \\MW=\frac{m/g}{n/mol} \\C = \frac{m}{MW} .\frac{1}{V} \\\\[/tex]

For Na₂CrO₄:

[tex]C = \frac{3.2473g}{161.97g/mol} .\frac{1}{0.1L} \\C = 0.200 mol/L[/tex]

The molarity of Na will be the double of the molarity of the molarity of Na₂CrO₄:

[tex]C = 0.400 mol/L[/tex]

b) parts per thousand (ppt)

[tex]m ppt = \frac{m}{1000 g} \\m = MW.n\\m ppt = \frac{MW.n}{1000g} \\m ppt = \frac{22.9898.0.04}{1000} \\\\m = 9.20 g\\\\Na: \frac{9.20 g}{1000 g solution} = 9.20 ppt[/tex]

c) parts per million (ppm)

0.400 mol Na ____ 1000 mL solution

           x          ____  10 mL solution

x = 0.004 mol Na

The new solution has a concentration of Na of 0.004 mol/L.

ppm = mg/L

[tex]m=MW.n\\m = 22.9898 . 0.004\\m = 0.0916 g\\m = 91.6 mg\\\\Na = 91.96 ppm[/tex]

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