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Question

A commercial system removes SO2 emission from smoke at 95C by the following set of reactions:
SO2+Cl2SO2Cl2 (Yield = 75 %)
SO2Cl2+2H2OH2SO4+2HCl (Yield = 80 %)
H2SO4+Ca(OH)2CaSO4+2H2O (Yield = 100 %)
How many grams of CaSO4 may be produced from 3.78 g of SO2?

A
4.82 g
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B
6.94 g
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C
2.26 g
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D
8.34 g
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Solution

The correct option is A 4.82 g
SO2(g)+Cl2SO2Cl2(g) (yield = 75 %) SO2Cl2(g)+2H2O(l)H2SO4+2HCl (yield = 80 %) H2SO4+Ca(OH)2CaSO4+2H2O (yield = 100 %)
Moles of SO2=3.7864 mol of SO2
1 mol SO2 gives 1 mol of SO2Cl2
3.7864 mol SO2 will give 3.7864 mol of SO2Cl2
As % yield is 75 %, moles of SO2Cl2=3.7864×75100
In reaction (ii),
1 mol SO2Cl2 gives 1 mol of H2SO4
3.7864×75100 mol SO2Cl2 gives 3.7864×75100 H2SO4
As % yield is 80 %, moles of H2SO4=3.7864×75100×80100
In reaction (iii),
1 mol of H2SO4 gives 1 mol of CaSO4
3.7864×75100×80100 will give the same number of moles of CaSO4
Mass of CaSO4=3.7864×75100×80100×136=4.82 g

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