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Grade 11Mechanics

How many moles of P4 can be produced by reaction of 0.1 moles of Ca5(PO4)3F,0.36 moles SiO2 and 0.9 moles C according to the given reaction-
4Ca5(PO4)3F+18SiO2+30C GIVES 3P4+2CaF2+18CaSiO3
+30CO

Profile image of MANAS GOEL
8 Years agoGrade 11
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1 Answer

Profile image of HIMANSHU SHEKHAR DAS
8 Years ago
in this question let us find the limiting reagent first.
let us assume that Ca5(PO4)3F is consumed fully and the other 2 remains
so according to the balanced chemical equation,  4 moles of Ca5(PO4)3F will react with 18 moles of SiO2
so 0.1 moles react with 0.45 moles of SiO2, while the given amount is 0.36 moles.
So Ca5(PO4)3F cannot be the limiting reagent.
now let us go to SiO2 , here according to balanced chemical equation, 18 moles react with 4 moles of Ca5(PO4)3F.
so 0.36 moles of SiO2 will react with 0.08 moles which is less than the provided amount.
again 18 moles of SiO2 will react with 30 moles of C.
so 0.36 moles of SiO2 will react with 0.6 moles of C, which is also more than the provided amount.
so SiO2 is the limiting reagent.
now have to find the amount of product according to limiting reagent as the reaction will not carried forward after any reactant gets finished.
the the amount of any product produced can be found by balancing with the amount consumed of the limiting reagent.
so 18 moles of SiO2 will react to give 3 moles of P4
so 0.36 moles of will react to give 0.06 moles P4.
so 0.06 moles of P4 will be produced.(ans)
thanks
hope it helps !!!