Question #89486
when a mixture of acetone and propanal is burnt, 4.48 liters of carbon dioxide are produced at STP. What is the mass of water produced at the same time?
1
Expert's answer
2019-05-10T08:05:28-0400

Acetone and propanal are functional isomers having the same molecular formula C3H6O but different functional groups:



This means that both compounds have the same equation of combustion:


C3H6O + 4O2 = 3CO2 + 3H2O


Using ideal gas law pV=nRT we can find number of moles of carbon dioxide:


n(CO2)=pVRT=101325Pa0.00448m38.314JmolK273.15K=0.2moln(CO_2) = \frac{pV}{RT} = \frac {101325Pa \cdot 0.00448m^3}{8.314\frac{J}{mol \cdot K}\cdot 273.15K} = 0.2 mol


According to stoichiometry of the reaction


n(H2O)=n(CO2)=0.2moln(H_2O) = n(CO_2) = 0.2 mol


Thus mass of water produced in this reaction is


m(H2O)=n(H2O)M(H2O)=0.2mol18gmol=3.6gm(H_2O) = n(H_2O)\cdot M(H_2O) = 0.2 mol \cdot 18\frac{g}{mol} = 3.6g


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