A standardized solution that is 0.0350 M in Na is necessary for a flame photometric determination of the element. How many grams of primary-standard-grade sodium carbonate are necessary to prepare 800.0 mL of this solution

Respuesta :

Answer:

1.484 grams.

Explanation:

At first we have to find the number of moles in 0.0350 M of 800.0 mL of Na solution. For this we will use the molarity equation as follows -

[tex]M = \frac{n}{V} \times 1000[/tex]

Where,

[tex]M[/tex] = molarity of the solution

[tex]n[/tex] = number of moles of Na

[tex]V[/tex] = volume of solution in mL

From the above equation,

[tex]n=\frac{M\times V}{1000}[/tex] = [tex]\frac{0.0350 \times 800}{1000}[/tex] = 0.028 moles.

Now, we know that sodium carbonate dissociates as

[tex]Na_2CO_3[/tex] ⇒ [tex]2Na^+ + CO_3^-[/tex]

That means 1 mole of sodium carbonate produces 2 moles of Na⁺ ion

So, the moles of sodium carbonate required for 0.028 mole of Na⁺ ion will be

[tex]\frac{1}{2} \times 0.028[/tex] = 0.014 moles.

So, the weight of sodium carbonate required = number of moles × molecular mass

= 0.014 × 105.9888 = 1.484 g

The weight of sodium carbonate required for preparing the solution mentioned in the question is 1.484 grams.

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