Let's write a balanced reaction equation:
2Mg + O2 "\\rightarrow" 2MgO.
As you see from the stoichiometric coefficients, when 1 molecule of oxygen reacts, 2 molecules of magnesium oxide are produced. Therefore, the number of the moles of the oxygen and magnesium oxide relate as:
"n(O_2) = n(MgO)\/2" .
When 0.27 moles of oxygen reacts completely:
"n(MgO) = 2\u00b7n(O_2) = 2\u00b70.27 = 0.54" mol
Answer: 0.54 mol of magnesium oxide is produced when 0.27 moles of oxygen gas reacts completely.
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