The unbalanced equation for the combustion of liquid ethanol is:
\[\ce{C}_{2}\ce{H}_{6}\ce{O}+\ce{O}_{2}\rightarrow\ce{CO}_{2}+\ce{H}_{2}\ce{O}\]
Step 1: Write the reactants and products of the chemical equation using correct symbols and formulas. The reactants are written on the left side of the arrow and the products are written on the right. Use a plus (+) sign to separate each reactant or product from others.
The equation is given, so you can move on to the next step.
Step 2: Balance the chemical equation by writing the correct coefficients in front of each chemical formula. Start with the compound that is composed of the greatest number of atoms.
The compound with the greatest number of atoms is hydrogen, \(\ce{H2}\). The reactant side contains \(6\textrm{ H}\) atoms and the product side has \(2\textrm{ H}\) atoms.
To balance the number of \(\ce{H}\) atoms, \(6\textrm{ H}\) atoms are needed on either side, as \(6\) is the least common multiple. To achieve \(6\textrm{ H}\) atoms on either side, we need \(1\ce{C2H6O}\) molecules and \(3\ce{H2O}\) molecules.
\[1\ce{C}_{2}\ce{H}_{6}\ce{O}+\ce{O}_{2}\rightarrow\ce{CO}_{2}+\ce{3H}_{2}\ce{O}\]
Step 3: Repeat step 2 with each atom, as required.
- The next atom will be carbon. The reactant side has \(2\textrm{ C}\) atoms and the product side also has \(1\textrm{ C}\) atom. To balance the number of \(\ce{C}\) atoms, \(2\textrm{ C}\) atoms are need on either side. To achieve this, we need \(2\ce{CO2}\) molecules.
\[1\ce{C}_{2}\ce{H}_{6}\ce{O}+\ce{O}_{2}\rightarrow\ce{2CO}_{2}+\ce{3H}_{2}\ce{O}\]
- Finally, balance the oxygen atoms. The reactant side has \(3\textrm{ O}\) atoms, and the product side has \(7\textrm{ O}\) atoms. Placing \(3\) in front of \(\ce{O2}\) on the reactant side gives \(7\textrm{ O}\) atoms on each side.
\[1\ce{C}_{2}\ce{H}_{6}\ce{O}+\ce{3O}_{2}\rightarrow\ce{2CO}_{2}+\ce{3H}_{2}\ce{O}\]
Step 4: Do a final check to make sure all types of atoms in the equation are balanced.
\[\ce{N}_{2}+3\ce{H}_{2}\rightarrow2\ce{NH}_{3}\]
Element |
Left side |
Right side |
\(\ce{H}\) |
\(6\) |
\(3\times2=6\) |
\(\ce{C}\) |
\(2\) |
\(2\) |
\(\ce{O}\) |
\(1+\left(3\times2\right)=7\) |
\(\left(2\times2\right)+3=7\) |
Step 5: Check whether the coefficients are in their lowest possible whole numbers.
The ratio of \(1:3:2:3\) is the lowest possible in whole numbers. In the final equation, any coefficients of \(1\) do not need to be written. That is, \(1\ce{C2H6O}\) is simply \(\ce{C2H6O}\).
\[\ce{C}_{2}\ce{H}_{6}\ce{O}+\ce{3O}_{2}\rightarrow\ce{2CO}_{2}+\ce{3H}_{2}\ce{O}\]
Step 6: Add the states for each compound.
\[\ce{C}_{2}\ce{H}_{6}\ce{O}(\textrm{l})+\ce{3O}_{2}(\textrm{g})\rightarrow\ce{2CO}_{2}(\textrm{g})+\ce{3H}_{2}\ce{O}(\textrm{l})\]