The reaction that takes place is
C + O2 => CO2
1 mole of Carbon reacts completely with 1 mole of Oxygen and produce 1 mole of CO2
given mass of carbon 32.24 grams
moles of carbon = 32.24 / 12 (molecular mass of Carbon) = 2.69
given mass of oxygen 54.75 grams
moles of O2 = 54.75 / 32 (molecular mass of O2) = 1.711
So limiting reagent in this reaction is O2
so moles of CO2 produced is equal to moles of O2, as 1 mole of O2 produce 1 mole of CO2
so moles of CO2 = 1.711
mass = 1.711 * 44 (molecular mass of CO2) = 75.28 grams
mass of carbon dioxide produced is 75.28 grams
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