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.