9. To produce 1 ton of single super phosphate, 1.5 tons of rock phosphate are required. How much rock phosphate is needed to produce 5 tons of single super phosphate?
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How many tons of $\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}$ are necessary to prepare 5.0 tons of phosphorus if the yield is 90$\% ?$
A phosphate rock quarry yields rock that is $79.4 \%$ calcium phosphate, the raw material used in preparing $\mathrm{Ca}\left(\mathrm{H}_{2} \mathrm{PO}_{4}\right)_{2},$ a fertilizer known as superphosphate. The rock is made to react with sulfuric acid according to the equation $\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}+2 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow$ $\mathrm{Ca}\left(\mathrm{H}_{2} \mathrm{PO}_{4}\right)_{2}+2 \mathrm{CaSO}_{4} .$ What is the smallest number of kilo- grams of rock that must be processed to yield 0.500 ton of fertilizer?
A common natural source of phosphorus is phosphate rock, an ore found in extensive deposits in areas that were originally ocean floor. The formula of one type of phosphate rock is $\mathrm{Ca}_{10}(\mathrm{OH})_{2}\left(\mathrm{PO}_{4}\right)_{6} .$ Phosphate rock is converted to phosphoric acid by the reaction described by the equation $$ \begin{array}{r} \mathrm{Ca}_{10}(\mathrm{OH})_{2}\left(\mathrm{PO}_{4}\right)_{6}(s)+10 \mathrm{H}_{2} \mathrm{SO}_{4}(l) \rightarrow \\ 6 \mathrm{H}_{3} \mathrm{PO}_{4}(l)+10 \mathrm{CaSO}_{4}(s)+2 \mathrm{H}_{2} \mathrm{O}(l) \end{array} $$ Calculate how many metric tons of phosphoric acid can be produced from 100 metric tons of phosphate rock ( 1 metric ton $=1000$ kilograms).
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