J.R. S. answered 02/25/22
Ph.D. University Professor with 10+ years Tutoring Experience
First thing, we must write a correctly balanced equation for the reaction of phosphorous (P) and oxygen (O2) to form phosphorous pentoxide (P2O5)
4P + 5O2 ==> 2P2O5
Now we convert grams O2 to moles O2, then moles O2 to moles P2O5 and finally moles P2O5 to grams P2O5.
moles O2 present = 750 g O2 x 1 mol O2 / 32 g = 23.4 mols O2
moles P2O5 formed = 23.4 mols O2 x 2 mols P2O5 / 5 mols O2 = 9.38 mols P2O5
grams P2O5 = 9.38 mols P2O5 x 142 g P2O5 / mol = 1332 g P2O5 = 1300 g P2O5 (2 sig. figs.)