Chapter 6 Section 3 Balancing Chemical Equations Objectives • Demonstrate how to balance chemical equations. • Interpret chemical equations to determine the relative number of moles of reactants needed and moles of products formed. • Explain how the law of definite proportions allows for predictions about reaction amounts. • Identify mole ratios in a balanced chemical equation. • Calculate the relative masses of reactants and products from a chemical equation. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Describing Reactions • One way to record the products and reactants of a reaction is to write a word equation. • Example: methane + oxygen → carbon dioxide + water • A chemical equation is a representation of a chemical reaction that uses symbols to show the relationship between the reactants and the products. • In a chemical equation, such as the one above, the reactants, which are on the left-hand side of the arrow, form the products, which are on the right-hand side. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Describing Reactions • When the number of atoms of reactants matches the number of atoms of products, then the chemical equation is said to be balanced. • Balancing equations follows the law of conservation of mass. • You cannot balance chemical equations by changing chemical formulas themselves, because that would change the substances involved. • To balance chemical equations, numbers called coefficients must be placed in front of the chemical formulas. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Law of Conservation of Mass Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Describing Reactions, continued • When the numbers of atoms for each element are the same on each side, the equation is balanced, as shown below. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Reading a Chemical Equation Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Chemical Equation Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Balancing a Chemical Equation by Inspection Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Math Skills Balancing Chemical Equations Write the equation that describes the burning of magnesium in air to form magnesium oxide. 1. Identify the reactants and products. Magnesium and oxygen gas are the reactants that form the product, magnesium oxide. 2. Write a word equation for the reaction. magnesium + oxygen → magnesium oxide. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Math Skills, continued 3. Write the equation using formulas for the elements and compounds in the word equation. Remember that some gaseous elements, like oxygen, are molecules, not atoms. Oxygen in air is O2, not O. Mg + O2 → MgO 4. Balance the equation one element at a time. The same number of each kind of atom must appear on both sides. So far, there is one atom of magnesium on each side of the equation. But there are two oxygen atoms on the left and only one on the right. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Math Skills, continued 4. Balance the equation one element at a time, continued To balance the number of oxygen atoms, you need to double the amount of magnesium oxide: Mg + O2 → 2MgO This equation gives you two magnesium atoms on the right and only one on the left. So you need to double the amount of magnesium on the left, as follows. 2Mg + O2 → 2MgO Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Math Skills, continued 4. Balance the equation one element at a time, continued 2Mg + O2 → 2MgO Now the equation is balanced. It has an equal number of each type of atom on both sides. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Determining Mole Ratios • The law of definite proportions states that a compound always contains the same elements in the same proportions, regardless of how the compound is made or how much of the compound is formed. • Because the law of definite proportions holds true for all chemical substances in all reactions, mole ratios can be derived from balanced equations. • Mole ratio is the relative number of moles of the substances required to produce a given amount of product in a chemical reaction. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Law of Definite Proportions Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 6 Section 3 Balancing Chemical Equations Determining Mole Ratios, continued • The mole ratio for any reaction comes from the balanced chemical equation. • Example: The equation for the electrolysis of water shows that the mole ratio for H2O:H2:O2 is 2:2:1. • 2H2O → 2H2 + [1]O2 • If you know the mole ratios of the substances in a reaction, you can find the relative masses of the substances required to react completely. • Relative masses can be found by multiplying the molecular mass of each substance by the mole ratio from the balanced equation. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved.