For the following reaction, 4.53 grams of calcium hydroxide are mixed with excess sulfuric acid. The reaction yields 6.75 grams of calcium sulfate.

sulfuric acid (aq) + calcium hydroxide (s) calcium sulfate (s) + water (l)

What is the theoretical yield of calcium sulfate? (grams)
What is the percent yield for this reaction? (%)

Respuesta :

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Answer:

[tex]\large \boxed{\text{8.32 g; 81.1 \%}}}[/tex]

Explanation:

MM:                      74.09         136.14

           H₂SO₄ + Ca(OH)₂ ⟶ CaSO₄ + 2H₂O

m/g:                      4.53  

1. Theoretical yield

(a) Moles of Ca(OH)₂

[tex]\text{Moles of Ca(OH)${_2}$} = \text{4.53 g Ca(OH)${_2}$} \times \dfrac{\text{1 mol Ca(OH)${_2}$}}{\text{74.09 g Ca(OH)${_2}$}} = \text{0.161 14 mol Ca(OH)${_2}$}[/tex]

(b) Moles of CaSO₄

[tex]\text{Moles of NH${_3}$} = \text{0.061 14 mol Ca(OH)${_2}$} \times \dfrac{\text{1 mol CaSO${_4}$}}{\text{1 mol Ca(OH)${_2}$}} = \text{0.061 14 mol CaSO${_4}$}[/tex]

(c) Theoretical yield

[tex]\text{Mass of CaSO${_4}$} = \text{0.061 14 mol CaSO${_4}$} \times \dfrac{\text{136.14 g CaSO${_4}$}}{\text{1 mol CaSO${_4}$}} = \textbf{8.32 g CaSO${_4}$}[/tex]

2. Percent yield

[tex]\text{Percent yield} = \dfrac{\text{ actual yield}}{\text{ theoretical yield}} \times 100 \% = \dfrac{\text{6.75 g}}{\text{8.32 g}} \times 100 \, \% = \text{81.1 \%}[/tex]

[tex]\text{The percent yield is } \large \boxed{\textbf{81.1 \%}}}[/tex]