What is the minimum mass of water necessary to produce 200. g of sulfuric acid in the following reaction
2SO₂ + O₂ + 2H₂O $\rarr$ 2H₂SO₄

Question

What is the minimum mass of water necessary to produce 200. g of sulfuric acid in the following reaction 2SO₂ + O₂ + 2H₂O $\rarr$2H₂SO₄

Quizplus · Accepted Answer

First, balance the equation:
2SO2 + O2 + 2H2O -> 2H2SO4
For every 2 moles of SO2, we need 2 moles of H2O, so we need 1 mole of H2O for every mole of SO2. 
The molar mass of SO2 is 64 g/mol, so to produce 200 g of sulfuric acid, we need (200 g)/(98 g/mol) = 2.04 moles of SO2. Therefore, we need 2.04 moles of H2O. The molar mass of H2O is 18 g/mol, so we need (2.04 moles)(18 g/mol) = 36.7 g of H2O. Therefore, the answer is choice B.

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