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Ch.3 - Mass Relationships in Chemical Reactions
Chapter 3, Problem 37

Which of the following equations is balanced? Balance any that need it.
(a) The thermite reaction, used in welding: Al + Fe2O3 → Al2O3 + Fe
(b) The photosynthesis of glucose from CO2: 6 CO2 + 6 H2O → C6H12O6 + 6 O2
(c) The separation of gold from its ore: Au + 2 NaCN + O2 + H2O → NaAu(CN)2 + 3 NaOH

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1
Identify the number of each type of atom on both sides of the equation: Al, Fe, and O.
Count the aluminum (Al) atoms: 1 Al on the reactant side and 2 Al on the product side.
Count the iron (Fe) atoms: 2 Fe on the reactant side and 1 Fe on the product side.
Count the oxygen (O) atoms: 3 O on the reactant side and 3 O on the product side.
Adjust the coefficients to balance the equation: 2 Al + Fe_2O_3 → Al_2O_3 + 2 Fe.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Balancing Chemical Equations

Balancing chemical equations involves ensuring that the number of atoms of each element is the same on both sides of the equation. This is based on the law of conservation of mass, which states that matter cannot be created or destroyed in a chemical reaction. To balance an equation, coefficients are adjusted in front of the chemical formulas to achieve equal atom counts.
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Stoichiometry

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. It allows chemists to predict the amounts of substances consumed and produced in a reaction. Understanding stoichiometry is essential for balancing equations, as it provides the ratios needed to ensure that all atoms are accounted for.
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Types of Reactions

Chemical reactions can be classified into several types, including synthesis, decomposition, single replacement, and double replacement reactions. The thermite reaction, specifically, is a type of single replacement reaction where aluminum displaces iron from iron(III) oxide. Recognizing the type of reaction helps in predicting the products and understanding the balancing process.
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