7. How many moles of white phosphorus (P4) can you produce from 1 ton of fluoroapatite? O Question 17 8. How many moles of mixed-metal oxide (Ca3Si207) can you produce from 1 ton of fluoroapatite? O Question 18 9. How much money can you make selling off this mixed-metal oxide (Ca3Si207) to the corrupt contractor at 2¢ a pound?

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Question 16
7. How many moles of white phosphorus (P4) can you produce from 1 ton of
fluoroapatite?
D Question 17
8. How many moles of mixed-metal oxide (Ca3Si207) can you produce from 1
ton of fluoroapatite?
Question 18
9. How much money can you make selling off this mixed-metal oxide (Ca3Si207)
to the corrupt contractor at 2¢ a pound?
Transcribed Image Text:Question 16 7. How many moles of white phosphorus (P4) can you produce from 1 ton of fluoroapatite? D Question 17 8. How many moles of mixed-metal oxide (Ca3Si207) can you produce from 1 ton of fluoroapatite? Question 18 9. How much money can you make selling off this mixed-metal oxide (Ca3Si207) to the corrupt contractor at 2¢ a pound?
Introduction
Home Depot's market research shows that they can sell 20-lb. bags of ammonium
phosphate, a common fertilizer with the chemical formula (NH4)3PO4, for $9.99/bag.
This price has been marked up 6% from the wholesale price that they pay to the
manufacturer. You decide to use your knowledge of chemistry to produce your own
ammonium phosphate and sell it to Home Depot at 5¢ below the wholesale price.
You contact a packager, who agrees to package your product for 29¢ per bag.
Ammonium phosphate is produced from ammonia (NH3) and phosphoric acid
(H,PO4). Ammonia, in turn, can be produced at a 50% yield via the Haber process,
using a mixture of hydrogen (H2) and nitrogen (N2) gases with an iron catalyst.
Phosphoric acid is obtained from a naturally occurring mineral called fluorapatite,
Cas(PO4)3F, by the following process: fluoroapatite is mixed with silica sand (SiO2)
and coke (elemental carbon, C) in an electric furnace. The products are carbon
monoxide (CO), tetrafluorosilane (SIF4), white phosphorous (P4), and a mixed-metal
oxide with the formula Ca3Si207. Of these four products, only the white phosphorous
is useful in producirg phosphoric acid; the other products go to waste. However,
a (corrupt) contractor will buy the mixed-metal oxide (to dilute cement used in
freeway overpasses) from you for 2¢ a pound. You agree to this (of course not
knowing what he intends). The white phosphorus is then burned in oxygen (O2) to
give phosphoric acid anhydride, P.010, which is finally reacted with water to give
the desired phosphoric acid.
You decide to use air as your source of oxygen and nitrogen gases, so those reagents
come at no cost. Fluoroapatite costs $20/ton, silica sand costs $5/ton, elemental
carbon costs $3/ton, and hydrogen gas costs 9e for 10 yd' at STP, where 1 mole of
gas occupies 22.414 L. Let's ignore the cost of the electricity to run the furnace and
to compress and heat the gases, and assume that the iron catalyst is a one-time gift.
Let's also assume that water is free.
Transcribed Image Text:Introduction Home Depot's market research shows that they can sell 20-lb. bags of ammonium phosphate, a common fertilizer with the chemical formula (NH4)3PO4, for $9.99/bag. This price has been marked up 6% from the wholesale price that they pay to the manufacturer. You decide to use your knowledge of chemistry to produce your own ammonium phosphate and sell it to Home Depot at 5¢ below the wholesale price. You contact a packager, who agrees to package your product for 29¢ per bag. Ammonium phosphate is produced from ammonia (NH3) and phosphoric acid (H,PO4). Ammonia, in turn, can be produced at a 50% yield via the Haber process, using a mixture of hydrogen (H2) and nitrogen (N2) gases with an iron catalyst. Phosphoric acid is obtained from a naturally occurring mineral called fluorapatite, Cas(PO4)3F, by the following process: fluoroapatite is mixed with silica sand (SiO2) and coke (elemental carbon, C) in an electric furnace. The products are carbon monoxide (CO), tetrafluorosilane (SIF4), white phosphorous (P4), and a mixed-metal oxide with the formula Ca3Si207. Of these four products, only the white phosphorous is useful in producirg phosphoric acid; the other products go to waste. However, a (corrupt) contractor will buy the mixed-metal oxide (to dilute cement used in freeway overpasses) from you for 2¢ a pound. You agree to this (of course not knowing what he intends). The white phosphorus is then burned in oxygen (O2) to give phosphoric acid anhydride, P.010, which is finally reacted with water to give the desired phosphoric acid. You decide to use air as your source of oxygen and nitrogen gases, so those reagents come at no cost. Fluoroapatite costs $20/ton, silica sand costs $5/ton, elemental carbon costs $3/ton, and hydrogen gas costs 9e for 10 yd' at STP, where 1 mole of gas occupies 22.414 L. Let's ignore the cost of the electricity to run the furnace and to compress and heat the gases, and assume that the iron catalyst is a one-time gift. Let's also assume that water is free.
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