For the following reaction, 3.81 grams of sulfuric acid are mixed with excess barium hydroxide. The reaction yields 8.45 grams of barium sulfate.

barium hydroxide (aq) + sulfuric acid (aq) ---> barium sulfate (s) + water (l)

Respuesta :

This is an incomplete question, here is a complete question.

For the following reaction, 3.81 grams of sulfuric acid are mixed with excess barium hydroxide. The reaction yields 8.45 grams of barium sulfate.

[tex]Ba(OH)_2+H_2SO_4\rightarrow BaSO_4+2H_2O[/tex]

What the is theoretical mass of barium sulfate?

Answer: The theoretical mass of [tex]BaSO_4[/tex] is, 9.08 grams.

Explanation : Given,

Mass of [tex]H_2SO_4[/tex] = 3.81 g

Molar mass of [tex]H_2SO_4[/tex] = 98 g/mol

First we have to calculate the moles of [tex]H_2SO_4[/tex]

[tex]\text{Moles of }H_2SO_4=\frac{\text{Given mass }H_2SO_4}{\text{Molar mass }H_2SO_4}[/tex]

[tex]\text{Moles of }H_2SO_4=\frac{3.81g}{98g/mol}=0.0389mol[/tex]

Now we have to calculate the moles of [tex]BaSO_4[/tex]

The balanced chemical equation is:

[tex]Ba(OH)_2+H_2SO_4\rightarrow BaSO_4+2H_2O[/tex]

From the reaction, we conclude that

As, 1 mole of [tex]H_2SO_4[/tex] react to give 1 mole of [tex]BaSO_4[/tex]

So, 0.0389 mole of [tex]H_2SO_4[/tex] react to give 0.0389 mole of [tex]BaSO_4[/tex]

Now we have to calculate the mass of [tex]BaSO_4[/tex]

[tex]\text{ Mass of }BaSO_4=\text{ Moles of }BaSO_4\times \text{ Molar mass of }BaSO_4[/tex]

Molar mass of [tex]BaSO_4[/tex] = 233.38 g/mole

[tex]\text{ Mass of }BaSO_4=(0.0389moles)\times (233.38g/mole)=9.08g[/tex]

Therefore, the theoretical mass of [tex]BaSO_4[/tex] is, 9.08 grams.