In 1986 an electrical power plant in Taylorsville. Georgia, burned 8.376, 726 to

Question

In 1986 an electrical power plant in Taylorsville. Georgia, burned 8.376, 726 tons of coal, a national record at that time. Coal is a fossil fuel made primarily of carbon, but it also contains sulfur among other elements When carbon, C, burns in air. it reacts with oxygen. O_2, to produce carbon dioxide, CO_2: When sulfur. S. bums in air. it reacts with oxygen. O_2. to produce sulfur dioxide. SO_2: Assuming that the coal was 82.2 % carbon by mass and that combustion was Complete, calculate the number of tons of carbon dioxide produced by the plant during the year. Express your answer numerically in tons. Assuming that the coal was 1.70 % sulfur by mass and that combustion was complete, calculate the number of tons of sulfur dioxide produced by the plant during the year. Express your answer numerically in tons.

Explanation / Answer

(A) Mass of coal = 8376726 tons

Mass of Carbon = 8376726 * 82.2 / 100 = 6885668.772 tons

C (s) + O2 (g) ------------> CO2 (g)

from the above balanced equation, 12 g. of C can produce 44 g. of CO2

then, 6885668.772 * 1000 g. of C can produce= 44 * 6885668.772 * 1000 / 12 g. of CO2

= 25247452164 g. of CO2

= 25247452.164 tons of CO2

PART (B)

Mass of coal = 8376726 tons

Mass of Sulfur = 8376726 * 1.70 / 100 = 142404.342 tons

S (s) + O2 (g)-----------> SO2 (g)

From the balanced equation, 32 g. of S = 64 g. of SO2

Then, 142404.342 * 1000 g. of S = 64 * 142404.342 * 1000 / 32

= 284808684 g. of SO2

= 284808.684 tons of SO2

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