When carbon reacts with oxygen it forms CO2. This can depicted by the below equation.
C + O2→ CO2
It has been mentioned that when 14.4 g of C reacts with 53.9 g of O2, then 15.5 g of O2 remains unreacted. This indicates that Carbon is the limiting reagent and hence the amount of CO2 produced is based on the amount of Carbon burnt.
C + O2→ CO2
In the above equation , 1 mole of carbon reacts with 1 mole of O2 to produce 1 mole of CO2.
In this case 14.4 g of Carbon reacts with 53.9 of O2 to produce "x"g of CO2.
No of moles = mass of the substance÷molar mass of the substance
No of moles of carbon = 14.4 /12= 1.2 moles
No of moles of O2 = Mass of reacted O2/Molar mass of O2.
No of moles of O2 = (Total mass of O2 burned - Mass of unreacted O2)/32
No of moles of O2 = (53.9-15.5) ÷ 32 = 1.2 moles.
Hence as already discussed 1 mole of Carbon reacts with 1 mole of O2 to produce 1 mole of CO2. In this case 1.2 moles of carbon reacts with 1.2 moles of O2 to produce 1.2 moles of CO2.
Moles of carbon dioxide = Mass of CO2 produced /Molar mass of CO2
Mass of CO2 produced(x) = Moles of CO2 ×Molar mass of CO2
Mass of CO2 produced(x) = 1.2 x 44 = 52.8 g
Thus 52.8 g of CO2 is produced.
