Asked by Anonymous
if you start with 20.0g of phosphorus 30.0g of oxygen gas, and 15.0g water, what is the maximum mass of phosphoric acid that can be formed?
Answers
Answered by
DrBob222
This is a limiting reagent problem. There are other ways to do this but I like this method.
Basically you work three stoichiometry problems. I will assume you will use P for phosphorus (and not P4) and P2O5 for the oxide (and not P4L10) You will need to adjust the equation if yo use something other than what I use. I am rounding the atomic masses and molar masses; you should use better numbers and recalculate all.
4P + 5O2 + 6H2O ==> 4H3PO4
mols P = g/atomic mass P = 20.0/31 = 0.645
mols O2 = 30.0/32 = 0.937
mols H2O = 15.0/18 = 0.833
Now convert each of these mole amounts to mols H3PO4.
P is first.
0.645 mols P x (4 mols H3PO4/4 mols P) = 0.645 x 4/4 = 0.645 mols H3PO4.
Next is O2.
0.937 mols O2 x (4 mols H3PO4/5 mols O2) = 0.937 x 4/5 = 0.75 mols H3PO4.
Next is H2O.
0.833 mols H2O x (4 mols H3PO4/6 mols H2O) = 0.833 x 4/6 = 0.555 mols H3PO4.
In limiting reagent problems the correct for mols H3PO4 formed is the smallest value and that looks like 0.555 mol H3PO4.
Convert that number to grams. g = mols x molar mass.
Basically you work three stoichiometry problems. I will assume you will use P for phosphorus (and not P4) and P2O5 for the oxide (and not P4L10) You will need to adjust the equation if yo use something other than what I use. I am rounding the atomic masses and molar masses; you should use better numbers and recalculate all.
4P + 5O2 + 6H2O ==> 4H3PO4
mols P = g/atomic mass P = 20.0/31 = 0.645
mols O2 = 30.0/32 = 0.937
mols H2O = 15.0/18 = 0.833
Now convert each of these mole amounts to mols H3PO4.
P is first.
0.645 mols P x (4 mols H3PO4/4 mols P) = 0.645 x 4/4 = 0.645 mols H3PO4.
Next is O2.
0.937 mols O2 x (4 mols H3PO4/5 mols O2) = 0.937 x 4/5 = 0.75 mols H3PO4.
Next is H2O.
0.833 mols H2O x (4 mols H3PO4/6 mols H2O) = 0.833 x 4/6 = 0.555 mols H3PO4.
In limiting reagent problems the correct for mols H3PO4 formed is the smallest value and that looks like 0.555 mol H3PO4.
Convert that number to grams. g = mols x molar mass.
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