![]() Let’s solve the system by direct substitution and find the values of the remaining variables: To quickly solve this system of equations, we assign a numerical value to one of the variables. It is necessary to find such a solution that all the coefficients have the form of the smallest possible integers. This system has several solutions, since there are more variables than equations. It remains for us to solve the above system of linear equations in order to find the numerical values of the coefficients. As can be easily checked by substituting in the previous equations, this equality is a consequence of them, not an independent relation. Since the left and right sides must contain the same number of hydrogen atoms, we get: 2 b =3 c+ d. For example, on the left we have 2 b hydrogen atoms (2 in each H2O molecule), while on the right we have 3 c+ d hydrogen atoms (3 in each H3PO4 molecule and 1 in each HF molecule). Next, we equate the number of atoms of each element in the left and right sides of the equation. Put a factor in front of the single carbon atom on the right side of the equation to balance it with the 2 carbons on the left side of the equation: So the first thing to do in our case is to balance the carbon. If it is necessary to balance several elements, we first choose one that is part of only one molecule of reactants and one molecule of reaction products. Note that usually hydrogen and oxygen are part of several molecules at once, so it is better to balance them last. On the right side we have 1 carbon atom, 2 hydrogen atoms and 3 oxygen atoms: C=1, H=2, O=3.On the left side we have 2 carbon atoms, 6 hydrogen atoms and 2 oxygen atoms: C=2, H=6, O=2.Consider the subscripts next to each element to determine the total number of atoms. Let us first write down the number of atoms of each element for both sides of the equation. Relatively simple equations like this one can be balanced by inspection and directly fitting the stoichiometric coefficients. You can verify these results with our chemical equation balancer.As we can see, atoms of only three chemical elements are involved in this reaction. ![]() So, the equation is balanced now with the same number of each type of atom on both sides. To balance hydrogen, add a coefficient of 2 in front of H2O:įinally, check and balance the oxygens by adding a coefficient of 2 in front of O2: Now, the carbons are balanced, but the hydrogens and oxygens are not. Oxygen (O): 2 on the left, 3 on the rightĪs we see number of atoms of carbon is already balanced in the above unbalanced equation.Hydrogen (H): 4 on the left, 2 on the right.Carbon (C): 1 on the left, 1 on the right.Let's balance the equation for the combustion of methane (CH4) with oxygen (O2) to produce carbon dioxide (CO2) and water (H2O). That's how you balance the equation! Example: Repeat the second step: Adjust the coefficients until the number of atoms is the same on both sides.Adjust the numbers (coefficients) in front of one substance.Count the atoms on both sides of the equation.How to Balance Chemical Equations?Īn unbalanced chemical equation could be balanced by following these steps: This balancing process involves applying principles of stoichiometry, where the coefficients in the balanced equation not only represent the relative amounts of reactants and products but also convey the mole ratios between them. It ensures that the fundamental law of conservation of mass is maintained, which states that the quantity of each element is the same before and after the reaction occurs. Also, separate molecules and atoms contained within the given equationĪ balanced chemical equation is a representation of a chemical reaction that shows the exact numbers of atoms or molecules involved in the reaction on both the reactant and product sides. The calculator balances the equation by showing all coefficient proportions.Use the given Periodic Table to add the chemical equation that you need to balance.Once balanced, it ensures that the atoms for each element will remain equal on both sides of the chemical equation. Balancing chemical equations calculator automatically balances the chemical equations by adjusting the coefficients of reactants and products to ensure the conservation of atoms.
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