Molar mass of P4O10 = 283.886 g/mol
4P + 5O2 = P4O10
From the balanced chemical reaction
We get that to produce 1 mole of P4O10, 5 mole of O2 needed
I.e for 283.886 g of P4O10, 5 mole of O2 needed
For 1 g of P4O10, (5/283.886) mole of O2 needed
For 14.2 g of P4O10, (5×14.2/283.886) mole of O2 needed
= 0.25 mole
Hence, 0.25 mole of O2 is needed to produce 14.2 grams of P4O10 from P.
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