The theoretical yield (in kilograms) of water produced from this reaction : 0.285 kg
Reaction
2C₁₂H₂₄O₁₁ + 25O₂ → 24CO₂ + 24H₂O
mass of C₁₂H₂₄O₁₁ - isomaltitol = 454 g
mol C₁₂H₂₄O₁₁(MW=344.31 g/mol) :
[tex]\tt mol=\dfrac{mass}{MW}\\\\mol=\dfrac{454}{344.31 g/mol}\\\\mol=1.319[/tex]
mol H₂O based on C₁₂H₂₄O₁₁ as limiting reactant(O₂-oxygen as an excess)
From the equation above, mol ratio of C₁₂H₂₄O₁₁ : H₂O = 2 : 24, so mol H₂O:
[tex]\tt mol~H_2O=\dfrac{24}{2}\times 1.319=15.828[/tex]
then mass H₂O (MW=18 g/mol) :
[tex]\tt mass=mol\times MW\\\\mass=15.828\times 18=284.904~g=0.285~kg[/tex]
