Question

Why must a chemical equation be balanced?

Short answer

A chemical equation must be balanced to ensure that it obeys the Law of Conservation of Mass, which states that mass cannot be created or destroyed in a chemical reaction. Balancing the equation also accurately represents the stoichiometric relationships between reactants and products. For example, the balanced chemical equation for the reaction between hydrogen gas and oxygen gas to form water is \(2H_2 + O_2 \rightarrow 2H_2O\), which signifies that 2 hydrogen molecules and 1 oxygen molecule react to produce 2 water molecules.

Step-by-step solution

Write the unbalanced chemical equation

The chemical equation for the reaction between hydrogen gas and oxygen gas to form water is: \(H_2 + O_2 \rightarrow H_2O\) Notice that the equation is currently unbalanced because there are more hydrogen atoms on the left side than there are on the right side, and there are more oxygen atoms on the right side than there are on the left side.

Identify elements to balance

In this equation, there are two elements to balance: hydrogen (H) and oxygen (O). Pay attention to the number of atoms of each element on the reactants side and on the products side. Hydrogen atoms: - Left side (reactants): 2 - Right side (products): 2 Oxygen atoms: - Left side (reactants): 2 - Right side (products): 1

Balance the chemical equation

To balance the chemical equation, we need to adjust the coefficients (the whole-number multipliers in front of the chemical formula) for the reactants and products, so that the number of atoms of each element is equal on both sides of the equation. Since there is a discrepancy in the number of oxygen atoms, start balancing by placing a 2 in front of the H₂O product: \(H_2 + O_2 \rightarrow 2H_2O\) Now the number of oxygen atoms on both sides is equal, but the number of hydrogen atoms on the right side has doubled. To balance the hydrogen atoms, place a 2 in front of the H₂ reactant: \(2H_2 + O_2 \rightarrow 2H_2O\)

Verify the balanced chemical equation

Finally, confirm that the chemical equation is balanced by counting the number of atoms of each element on both sides: Hydrogen atoms: - Left side (reactants): \(2 \cdot 2 = 4\) - Right side (products): \(2 \cdot 2 = 4\) Oxygen atoms: - Left side (reactants): \(1 \cdot 2 = 2\) - Right side (products): \(2 \cdot 1 = 2\) The balanced chemical equation for the reaction between hydrogen gas and oxygen gas to form water is: \(2H_2 + O_2 \rightarrow 2H_2O\) This step-by-step process demonstrates the importance of balancing chemical equations, which ensures that both the Law of Conservation of Mass is obeyed and the stoichiometric relationships between reactants and products are represented accurately.

Key concepts

Chemical Equation

A chemical equation is a symbolic representation of a chemical reaction, where the reactants are written on the left, and the products on the right. They are separated by an arrow (\rightarrow) that indicates the direction of the reaction. For instance, in the synthesis of water from hydrogen and oxygen, the chemical equation is initially written as
\(H_2 + O_2 \rightarrow H_2O\).
However, for the equation to truly reflect the reaction, it must be balanced, which means the number of atoms of each element must be the same on both sides of the equation. Balancing chemical equations is not just about making numbers match; it's about ensuring that the actual quantities of substances involved are accurately represented, allowing chemists and students to predict the amounts of products formed from given reactants.

Law of Conservation of Mass

The Law of Conservation of Mass states that mass is neither created nor destroyed in a chemical reaction. In simpler terms, all atoms that enter a reaction as reactants must be accounted for among the products. When balancing chemical equations, such as \(2H_2 + O_2 \rightarrow 2H_2O\), this law is crucial. Here, it's verified that the total number of hydrogen and oxygen atoms remains constant throughout the reaction. If you were to weigh the reactants before the reaction and the products after, their masses would be the same. This concept is not only fundamental to chemistry but is also a foundational principle in physics, emphasizing the importance of balancing every chemical equation accurately.

Stoichiometry

Stoichiometry involves the calculation of reactants and products in chemical reactions. It is based on the balanced chemical equation, such as \(2H_2 + O_2 \rightarrow 2H_2O\), which serves as a recipe telling chemists the proportions of reactants needed to form a specific amount of product. For example, this balanced equation indicates that 2 moles of hydrogen gas react with 1 mole of oxygen gas to produce 2 moles of water. Stoichiometry is essential in making sure that reactions are efficient, cost-effective, and safe. It helps predict how much product can be made from given reactants or how much of one reactant is needed to completely react with another—a critical skill for anyone involved in chemical manufacturing and other practical applications of chemistry.

Reactants and Products

Reactants are substances that undergo chemical changes during a reaction, while products are substances formed as a result of that reaction. In the example given, hydrogen (\(H_2\)) and oxygen (\(O_2\)) are the reactants, and water (\(H_2O\)) is the product. The process of transforming reactants into products involves breaking and forming chemical bonds, which is represented symbolically in the balanced equation \(2H_2 + O_2 \rightarrow 2H_2O\). This equation tells us that 2 molecules of hydrogen react with 1 molecule of oxygen to form 2 molecules of water. The importance of accurately representing reactants and products cannot be overstated, as it is the backbone of understanding chemical reactions, from simple synthesis to complex biochemical pathways.