Question

A particular coal contains 2.55% sulfur by mass. When the coal is burned, it produces SO2 emissions, which combine with rain water to produce sulfuric acid. Use the formula of sulfuric acid to calculate the mass percent of S in sulfuric acid. Then determine how much sulfuric acid (in metric tons) is produced by the combustion of 1.0 metric ton of this coal.

Answer 1

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Answer 2

0.0782 tons of sulfuric acid is produced by the combustion of 1.0 metric ton of this coal.

Explanation:

Mass of coal = 1.0 metric ton = 1,000,000 g

Mass of sulfur in coal sample = x

Mass percentage sulfur = 2.55%

$x=\frac{2.55}{100}\times 1,000,000 g=25,500 g$

Percentage of sulfur in sulfuric acid:

$S\%=\frac{1\times 32 g/mol}{98 g/mol}\times 100=32.6\%$

Mass of sulfuric acid with 25,500 grams of sulfur: m

$32.6\%=\frac{25,500 g}{m}\times 100$

m = 78,220.86 g = 0.07822086 Ton ≈ 0.0782 Ton

1 Ton = 1,000,000 g

0.0782 tons of sulfuric acid is produced by the combustion of 1.0 metric ton of this coal.

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