Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Calcium phosphate, silicon dioxide, and coke may be heated together in an electr

ID: 473559 • Letter: C

Question

Calcium phosphate, silicon dioxide, and coke may be heated together in an electric furnace to produce phosphorus, as shown in the following equation: 2 Ca3(PO4)2 + 6 SiO2 + 10C--> 6CaSiO3 + 10 CO + P4 In this reaction, how many pounds of calcium phosphate would be needed to make 100 lb of phosphorus? I got 500 How much calcium silicate would be formed as a by product? How much sand would be used up in this same reaction? Calcium phosphate, silicon dioxide, and coke may be heated together in an electric furnace to produce phosphorus, as shown in the following equation: 2 Ca3(PO4)2 + 6 SiO2 + 10C--> 6CaSiO3 + 10 CO + P4 In this reaction, how many pounds of calcium phosphate would be needed to make 100 lb of phosphorus? I got 500 How much calcium silicate would be formed as a by product? How much sand would be used up in this same reaction? 2 Ca3(PO4)2 + 6 SiO2 + 10C--> 6CaSiO3 + 10 CO + P4 In this reaction, how many pounds of calcium phosphate would be needed to make 100 lb of phosphorus? I got 500 How much calcium silicate would be formed as a by product? How much sand would be used up in this same reaction?

Explanation / Answer

100 lb = 45.3592 Kg of Phosphours P4

Molar mass of P4 = 123.90 gm/mol

Number of moles of P4 = 45359.2/123.90 = 366.09 moles

Moles of Ca3(PO4)2 required = 2 * moles of P4 = 2 * 366.09 = 732.19 moles

Molar mass of Ca3(PO4)2 = 310.18 gm/mol

Mass of Ca3(PO4)2 required = 732.19 * 310.18 gm = 227110.6942 gms = 227.110 Kg

Mass in Lbs = 500.69 Lbs

number of moles of CaSiO3 formed = 366.09 * 6 = 2196.54 moles

Molar mass of CaSiO3 = 124.33 gm/mol

Weight of CaSiO3 formed = 2196.54 * 124.33 = 273095.81 gms = 273.095 Kg = 602.07 pounds

number of moles of SiO2 required= 366.09 * 6 = 2196.54 moles

Molar mass of SiO2 = 60.08 gm/mol

Weight of SiO2 required = 2196.54 * 60.08 = 131968.12 gms = 131.968 Kg =290.939 pounds