Balancing Chemical Equations
More lessons on Chemistry
In this lesson, we will look at some examples of
Balancing chemical equations containing polyatomic ions
The sum of atoms before reaction = the sum of atoms after reaction
The following figure gives some hints on how to balance chemical equations. Scroll down the page for more examples and solutions.
General Rules for balancing chemical equations – Polyatomic Ions
Balancing chemical equations may require some trial and error. There are some general rules that could be helpful, but they may not work all the time.
| Rule 1 Balancing chemical equations using the one’s and two’s technique | Rule 2 Balancing chemical equations using the two’s and three’s technique |
| Rule 3 Balancing chemical equations using the CHO technique | Rule 4 Balancing chemical equations using the even technique |
| Rule 5 Balancing chemical equations containing polyatomic ions |
Example:
Balance the equation
Ca + HNO3 → H2 + Ca(NO3)2
Solution:
- The nitrate ion NO3 is unchanged before and after the reaction.
- Start with Ca(NO3)2 since it looks most complicated.
- There is one NO3 on the left and two on the left.
- Using the one’s and two’s technique, the equation is balanced by placing the coefficient of 2 for HNO3
Ca + 2HNO3 → H2 + Ca(NO3)2
- We test the other atoms and we find that we already have a balanced equation.
- Check to make sure that all coefficients are in the lowest-possible ratio
Example:
Balance the following equation:
Ca(NO3)2 + Na2S → CaS + NaNO3 Example:
Balance the following chemical equation:
Fe(NO3)3 + (NH4)2CO3 → Fe2(CO3)3 + NH4NO3 Example:
Balance the following chemical equation:
AgNO3 + K2CrO4 → Ag2CrO4 + KNO3 How to balance chemical equations containing polyatomic ions?
Example:
Balance the following chemical equation:
Pb(NO3)2 + NA2CO3 → PbCO3 + NaNO3
Case 2: If the polyatomic ion is changed after the reaction then it would be necessary to consider each atom individually.
Example:
Balance the chemical equation
Ba(OH)2 + H3PO4 → BaHPO4 + H2O
Solution:
- Use the CHO technique. Since we don't have carbon, we could try to balance the hydrogen first.
- We have five hydrogen atoms on the left and three hydrogen atoms on the right.
- To balance the hydrogen, we can place the coefficient of 2 at H2O
Ba(OH)2 + H3PO4 → BaHPO4 + 2H2O
- We test the other atoms and we find that we already have a balanced equation.
- Check to make sure that all coefficients are in the lowest-possible ratio.
Examples:
Balance the following chemical equations:
Al4C3 + H2O → Al(OH)3 + CH4
C3H8 + O2 → CO2 + H2O
C6H6 + O2 → CO2 + H2O Three helpful tips and tricks that make Balancing Chemical Equations easier
Tip #1: Put a star(*) next to any element appearing more than once on either the product or the reactant side; balance those elements last.
Tip #2: Recognize polyatomic groups that appear on both sides of the equation, and tea them as single items (e.g. don't break SO4 into one sulfur and four oxygens)
Tip #3: If you have H and OH on one side and H2O on the other, it is helpful to rewrite H2) as H(OH).
Examples:
Balance the following chemical equations:
1. C3H8 + O2 → CO2 + H2O
2. Al2(SO4)3 + Ca(OH)2 → Al(OH)3 + CaSO4
3. H3PO4 + NaOH → Na3PO4 + H2O
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.
