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Question

Calculate the percentage yield of sodium sulphate when 32.18 g of sulphuric acid reacts with excess sodium hydroxide to produce 37.91 g of sodium sulphate.
H2SO4+2NaOH(aq)2H2O(l)+Na2SO4(aq)

A
91.37%
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B
80.9%
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C
78.13%
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D
61.35%
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Solution

The correct option is B 80.9%
The balanced equation is :
H2SO4+2NaOH(aq)2H2O(l)+Na2SO4(aq)
Number of moles of H2SO4=32.18 g98 g/mol=0.33 mol
Number of moles of Na2SO4=37.91 g142 g/mol=0.27 mol
H2SO4 is the limiting reagent.
So, Na2SO4 formed will be =0.33 mole of H2SO4×1 mole of Na2SO41 mol of H2SO4=0.33 mol
Weight of Na2SO4=0.33 mol×142 g/mol=46.86 g
Percentage yield=Actual yieldtheoretical yield×100=37.9146.86×100=80.9%

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