The Simplot\'s fertilizer manufacturing plant in Pocatello, Idaho uses 1.7 milli

Question

The Simplot's fertilizer manufacturing plant in Pocatello, Idaho uses 1.7 million short tons per annum to produce phosphoric acid (which is then converted to ammonium phosphate - a fertilizer). The formula for one type of phosphate rock is Ca10(OH)2(PO4)6(s). The reaction used in the process can be represented by:

Ca10(OH)2(PO4)6(s)+10H2SO4(l)-->6H3PO4+CaSO4(s)+2H2O(l)

Assuming 100% efficiency, calculate how many short tons of sulfuric acid are consumed and how many tons of phosphoric acid are produced annually by this plant.

Explanation / Answer

1short ton=0.9072metric tons

phosphate rock=1.7E+6 short tons

Ca10(OH)2(PO4)6(s)+10H2SO4(l)-->6H3PO4+10CaSO4(s)+2H2O(l)

1004short tons(rock) + 980short tons(H2SO4) --->588metric ton(phosphoric acid) +......

Divide all terms by 0.0005905

1.7E+6short tons(rock) + 1659610.5short tons(H2SO4) --->995766.3short tons(phosphoric acid) +......

short tons of H2SO4(100%pure) consumed=1659610.5short tons/annum

short tons of phosphoric acid produced=995766.3short tons/annum

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