Wize University Chemistry Textbook > Stoichiometry

Combustion Reactions + Empirical and Molecular Formulae

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Introduction to Combustion Reactions

Combustion reactions: A reaction between a hydrocarbon (CxHyOz) with oxygen to produce carbon dioxide (CO2) and water (H2O).

CxHyOz (g) + O2 (g)    CO2 (g) + H2O (g)C_xH_yO_z\ \left(g\right)\ +\ O_2\ \left(g\right)\ \ \rightarrow\ \ CO_2\ \left(g\right)\ +\ H_2O\ \left(g\right)


Combustion reactions are commonly used in elemental analysis to determine the empirical formula of a compound.

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Steps to Balance a combustion reaction:

  1. Balance the carbons
  2. Balance the hydrogens
  3. Balance the oxygens using ONLY the coefficient of elemental oxygen (O2)
  4. If the equation has any fractions (often times the coefficient in front of O2 is a fraction), multiply the ENTIRE equation by 2


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Example: Balancing the Following Reaction


C2H6O(g)   +   O2 (g)        CO2 (g)   +   H2O (g)C_2H_6O\left(g\right)\ \ \ +\ \ \ O_2\ \left(g\right)\ \ \ \ \rightarrow\ \ \ \ CO_2\ \left(g\right)\ \ \ +\ \ \ H_2O\ \left(g\right)




C2H6O(g)   +   3O2 (g)        2CO2 (g)   +   3H2O (g)C_2H_6O\left(g\right)\ \ \ +\ \ \ 3O_2\ \left(g\right)\ \ \ \ \rightarrow\ \ \ \ 2CO_2\ \left(g\right)\ \ \ +\ \ \ 3H_2O\ \left(g\right)

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Determining Empirical Formulae from Combustion Reactions

Steps to Calculate Empirical Formulae:

  1. Determine the moles of carbon dioxide, n(CO2). This will give you the moles of carbon since 1 n(CO2) = 1 n(C).
  2. Determine the moles of water, n(H2O). This will give you moles of hydrogen since 1 n(H2O) = 2 n(H).
  3. Calculate the mass of carbon and the mass of hydrogen using their molar masses.
  4. Calculate the mass of oxygen by subtracting the masses of carbon and hydrogen from the mass of the hydrocarbon
  5. Calculate the moles of oxygen using the mass of oxygen and its molar mass.
  6. With the moles of C, H, and O known, divide all 3 mole values by the LOWEST value. If there are any fractions, multiply by a common factor to get whole numbers.


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Example: Determine the Empirical Formula from a Combustion Reaction

A 55.4 g sample of a compound containing only C, H and O was burned in the air to produce 143.2 g of carbon dioxide and 68.4 g of water. Determine the empirical formula of this compound.


1) 143.2 g CO2 (g)  (1 mol CO244.009 g CO2)  (1 mol C1 mol CO2) = 3.254 mol C143.2\ g\ CO_2\ \left(g\right)\ \cdot\ \left(\frac{1\ mol\ CO_2}{44.009\ g\ CO_2}\right)\ \cdot\ \left(\frac{1\ mol\ C}{1\ mol\ CO_2}\right)\ =\ 3.254\ mol\ C


2) 68.4 g H2O  (1 mol H2O18.015 g H2O)  (2 mol H1 mol H2O) = 7.594 mol H68.4\ g\ H_2O\ \cdot\ \left(\frac{1\ mol\ H_2O}{18.015\ g\ H_2O}\right)\ \cdot\ \left(\frac{2\ mol\ H}{1\ mol\ H_2O}\right)\ =\ 7.594\ mol\ H


3) 3.254 mol C  (12.011 g C1 mol C) = 39.08 g C3.254\ mol\ C\ \cdot\ \left(\frac{12.011\ g\ C}{1\ mol\ C}\right)\ =\ 39.08\ g\ C

7.594 mol H  (1.008 g H1 mol H) = 7.655 g H7.594\ mol\ H\ \cdot\ \left(\frac{1.008\ g\ H}{1\ mol\ H}\right)\ =\ 7.655\ g\ H


4) Mass of O = Mass of compound  mass of C  mass of HMass\ of\ O\ =\ Mass\ of\ compound\ -\ mass\ of\ C\ -\ mass\ of\ H

Mass of O = 55.4 g compound  39.08 g C  7.655 g HMass\ of\ O\ =\ 55.4\ g\ compound\ -\ 39.08\ g\ C\ -\ 7.655\ g\ H

Mass of O = 8.666 g OMass\ of\ O\ =\ 8.666\ g\ O


5) 8.666 g O  (1 mol O15.999 g O) = 0.5417 mol O8.666\ g\ O\ \cdot\ \left(\frac{1\ mol\ O}{15.999\ g\ O}\right)\ =\ 0.5417\ mol\ O


6) Number of C = 3.254 mol C0.5417 mol = 6.01 C  6 CNumber\ of\ C\ =\ \frac{3.254\ mol\ C}{0.5417\ mol}\ =\ 6.01\ C\ \sim\ 6\ C

Number of H = 7.594 mol H0.5417 mol = 14.02 H  14 HNumber\ of\ H\ =\ \frac{7.594\ mol\ H}{0.5417\ mol}\ =\ 14.02\ H\ \sim\ 14\ H

Number of O = 0.5417 mol O0.5417 mol = 1 ONumber\ of\ O\ =\ \frac{0.5417\ mol\ O}{0.5417\ mol}\ =\ 1\ O

 Empirical Formula = C6H14O\therefore\ Empirical\ Formula\ =\ C_6H_{14}O

Practice: Combustion Analysis Calculation

When 2.11 g of an unknown hydrocarbon (compound made up of only carbon and hydrogen atoms) was burned in excess oxygen as part of a combustion analysis. In the process 6.32 g of CO2 and 3.45 g of H2O are produced. What is the empirical formula of the hydrocarbon?
Extra Practice