Answer :
A mixture of 24.59 g zinc and sodium was reacted with H₂SO₄ and then with BaCl₂ to form BaSO₄. The percentage of sodium by mass in the mixture was found to be 16.97%.
The first step is to determine the amount of barium sulfate formed in the reaction. From the reaction equation, we can see that 1 mole of barium sulfate is produced for every mole of zinc in the mixture. Therefore, the amount of barium sulfate formed is:
24.59 g Zn x (1 mol Zn / 65.38 g Zn) x (1 mol BaSO₄ / 1 mol Zn) x (233.39 g BaSO₄ / 1 mol BaSO₄) = 8.80 g BaSO₄
Next, we need to calculate the amount of sodium in the original mixture. We can do this by subtracting the mass of zinc from the total mass of the mixture:
Mixture mass - Zinc mass = Sodium mass
24.59 g - (24.59 g x %Zn) = Sodium mass
We don't know the percent zinc by mass, but we can find it using the mass of barium sulfate formed. The mass percent of sodium in the mixture is then:
%Na = (Sodium mass / Mixture mass) x 100
To find the percent zinc by mass, we can subtract the percent sodium by mass from 100:
%Zn = 100 - %Na
Finally, we can substitute the values we found into the equations and solve for %Na:
8.80 g BaSO₄ x (1 mol BaSO₄ / 233.39 g BaSO₄) x (1 mol Na₂SO₄ / 1 mol BaSO₄) x (142.04 g Na₂SO₄ / 1 mol Na₂SO₄) = 4.04 g Na₂SO₄
Mixture mass - Zinc mass = Sodium mass
24.59 g - (24.59 g x %Zn) = Sodium mass
%Na = (Sodium mass / Mixture mass) x 100
Substituting the values we found:
%Na = (4.04 g / 24.59 g) x 100 = 16.4%
Therefore, the percent sodium by mass in the original mixture is 16.4%.
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