Writing Balanced Chemical Equations, Reaction Types, and Collision Energy
Key Principles of Chemical Equations and Conservation of Mass
Key Learning Idea: Balanced chemical equations display the precise numerical ratio of reactants and products participating in a chemical reaction, directly reflecting the Law of Conservation of Mass.
The Law of Conservation of Mass:
Formulated historically by Antoine Lavoisier: "Nothing is lost, nothing is created, everything is transformed."
States that matter is neither created nor destroyed during any chemical reaction.
Implies that the total mass of the reactants before a chemical reaction occurs must equal the total mass of the products formed after the reaction.
Requires that the total numbers of each individual type of atom are identical before and after the reaction takes place.
Nature of Chemical Transformations:
The fundamental difference between reactants and products lies solely in how the constituent atoms are arranged.
Chemical reactions involve the breaking of existing chemical bonds between atoms in the starting materials and the formation of new chemical bonds to generate new substances.
Balanced vs. Unbalanced Equations:
Unbalanced Chemical Equation: An equation that does not display equal numbers of each type of atom on both the reactant and product sides.
Balanced Chemical Equation: An equation where full-number coefficients are placed in front of chemical formulas, resulting in equal numbers of each type of atom on both sides.
Balancing equations reflects the actual quantitative ratios (stoichiometric coefficients) of reactants consumed and products yielded.
Atomic Tallies and Visual Representations of Reactions

Visualizing Molecular Transformations:
Molecules can be represented as linked atomic spheres to verify atom conservation visually.
Example: Synthesis of Ammonia from Nitrogen and Hydrogen Gas:
Reactants side: One diatomic nitrogen molecule ( = 2 Nitrogen atoms) plus three diatomic hydrogen molecules ( = 6 Hydrogen atoms).
Products side: Two ammonia molecules ( = 2 Nitrogen atoms + 6 Hydrogen atoms total).
Step-by-Step Diagram Construction for Water Synthesis:
Initial Unbalanced State:
Diagram: One diatomic hydrogen molecule () plus one diatomic oxygen molecule () forming one water molecule ().
Formula equation:
Tally Table:
Hydrogen (): Reactants = 2, Products = 2
Oxygen (): Reactants = 2, Products = 1
Status: Unbalanced.
Adding an Extra Water Molecule to Products:
Diagram: Adding a second molecule to the product side.
Formula equation:
Tally Table:
Hydrogen (): Reactants = 2, Products = 4
Oxygen (): Reactants = 2, Products = 2
Status: Unbalanced (Oxygen is balanced, but Hydrogen is now unequal).
Adding an Extra Hydrogen Molecule to Reactants:
Diagram: Adding a second molecule to the reactant side.
Formula equation:
Tally Table:
Hydrogen (): Reactants = 4, Products = 4
Oxygen (): Reactants = 2, Products = 2
Status: Balanced (Atom counts match completely on both sides).

Molecular Diagram Equations:
Methane combustion:
Nitrogen monoxide oxidation:
Ammonia formation:

Completing Diagrams by Drawing Molecules:
Sulfur dioxide oxidation:
Ammonia synthesis:
Nitrogen monoxide reduction:
Hydrochloric acid oxidation:

Rules and Step-by-Step Procedure for Balancing Chemical Equations
Key Terminology:
Reactants: Starting substances that undergo chemical transformation.
Products: New chemical substances formed as a result of the reaction.
Coefficient: The large number written directly in front of a chemical formula indicating the total quantity of entire molecules or formula units.
Subscript: The small subscript number inside a chemical formula indicating the exact number of atoms of an element bonded within that individual molecule.
The Golden Rule of Equation Balancing:
You can ONLY change coefficients.
NEVER change subscripts.
Rationale: Changing a subscript alters the actual chemical identity and molecular structure of the substance (e.g., changing to transforms water into hydrogen peroxide).
The 5 Systematic Steps to Balance Any Chemical Equation:
Write the equation: Obtain or construct the correct chemical formula equation.
Count atoms on each side: Perform an inventory tallies for every distinct element present in reactants and products.
Add coefficients: Place stoichiometric coefficients in front of formulas to equalize element counts starting with non-hydrogen and non-oxygen elements.
Recount atoms: Update tallies across both sides of the equation after applying coefficients.
Repeat until balanced: Continue adjusting coefficients and recounting until the atomic counts for every single element match identically on both sides.

Comprehensive Balancing Practice and Worked Examples
Detailed Worked Example 1: Balancing Water Formation
Step 1 (Write):
Step 2 (Count): Left side: H = 2, O = 2; Right side: H = 2, O = 1. Balanced? No.
Step 3 (Add coefficients): Place a coefficient of 2 in front of
Step 4 (Recount): Left side: H = 2, O = 2; Right side: H = 4, O = 2. Oxygen is fixed, but Hydrogen is unbalanced.
Step 5 (Repeat): Place a coefficient of 2 in front of on the left
Final Check: Left H = 4, Right H = 4; Left O = 2, Right O = 2. Fully balanced.
Detailed Worked Example 2: Guided Practice - Making Ammonia
Unbalanced equation:
Nitrogen (N) count on left = 2. The coefficient required to make N equal on the right is 2 ().
Rewrite:
Recount Hydrogen (H) on the right: H = 6. The coefficient required to make H equal on the left is 3 ().
Final balanced equation:
Single Step Verification Examples:
Check: C (R: 1, P: 1), O (R: 2, P: 2). Status: Already balanced.
Check: Mg (R: 1, P: 1), O (R: 2, P: 1).
Balanced equation:
Check: Al (R: 1, P: 2), O (R: 2, P: 3).
Balanced equation:

Categorization and Atom Tallies for Selected Reactions:
(a)
Atom Tallies: Fe (Reactants = 2, Products = 1); O (Reactants = 3, Products = 2).
Categorization: Unbalanced.
(b)
Atom Tallies: H (Reactants = 2, Products = 2); N (Reactants = 1, Products = 1); O (Reactants = 4, Products = 4); Na (Reactants = 1, Products = 1).
Categorization: Balanced.
(c)
Atom Tallies: Cu (R: 1, P: 1); C (R: 1, P: 1); O (R: 3, P: 3); H (R: 1, P: 2); Cl (R: 1, P: 2).
Categorization: Unbalanced.
(d)
Atom Tallies: S (Reactants = 8, Products = 8); O (Reactants = 32, Products = 16).
Categorization: Unbalanced.
(e)
Atom Tallies: H (R: 4, P: 4); S (R: 1, P: 1); O (R: 6, P: 6); Mg (R: 1, P: 1).
Categorization: Balanced.
(f)
Atom Tallies: C (R: 7, P: 7); H (R: 11, P: 11); N (R: 3, P: 3); O (R: 9, P: 9).
Categorization: Balanced.

Before and After Atom Count Analysis:
(a)
Before Balancing: H (R: 2, P: 2); O (R: 2, P: 1).
Balanced Equation:
After Balancing: H (R: 4, P: 4); O (R: 2, P: 2).
(b)
Before Balancing: P (R: 4, P: 2); O (R: 2, P: 5).
Balanced Equation:
After Balancing: P (R: 4, P: 4); O (R: 10, P: 10).
(c)
Before Balancing: Al (R: 1, P: 1); F (R: 3, P: 2); Mg (R: 1, P: 1); Cl (R: 2, P: 3).
Balanced Equation:
After Balancing: Al (R: 2, P: 2); F (R: 6, P: 6); Mg (R: 3, P: 3); Cl (R: 6, P: 6).
(d)
Before Balancing: C (R: 2, P: 1); H (R: 6, P: 2); O (R: 3, P: 3).
Balanced Equation:
After Balancing: C (R: 2, P: 2); H (R: 6, P: 6); O (R: 7, P: 7).

Complete Collection of Practice Chemical Equations:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)
(m)
(n)
(o)
(p)
(q)
(r)
(s)
(t)
(u)
(v)

States of Matter in Chemical Equations
Standard Symbols for Physical States:
Solid:
Liquid:
Gas:
Aqueous solution: (denotes a chemical substance dissolved completely in water)
Annotating Chemical Equations with State Symbols:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)

The Six Major Types of Chemical Reactions

1. Synthesis Reactions (Composition):
General Equation:
Word Equation: hydrogen + oxygen water
Chemical Equation:
How to Recognize: Two separate individual elements or simple compounds combine to form 1 single compound.
2. Decomposition Reactions:
General Equation:
Word Equation: water hydrogen + oxygen
Chemical Equation:
How to Recognize: One complex compound separates into 2 or more simpler components or constituent elements.
3. Single Displacement Reactions (Single Replacement):
General Equation (metal replacement):
General Equation (nonmetal replacement):
Word Equation: aluminum + copper chloride copper + aluminum chloride
Chemical Equation:
How to Recognize: A pure uncombined element reacts with a compound, replacing one component to form a single new element and a new compound.
4. Double Displacement Reactions (Double Replacement):
General Equation:
Word Equation: potassium iodide + lead nitrate potassium nitrate + lead iodide
Chemical Equation:
How to Recognize: Two reacting ionic compounds switch compound partners with each other.
5. Combustion Reactions (Complete Combustion of Hydrocarbons):
General Equation: Fuel + Oxygen
Reactants: ALWAYS include a hydrocarbon fuel plus oxygen ().
Products: ALWAYS yield carbon dioxide () and water ().
6. Neutralization (Acid-Base) Reactions:
Specialized Sub-type: A specific class of double displacement reaction occurring between an acid and a base.
General Equation: Acid + Base Salt + Water
Word Equation: hydrochloric acid + sodium hydroxide sodium chloride + water
Chemical Equation:
How to Recognize: Reactants consist of an acid (containing ) and a base (containing ), producing a salt ionic compound and neutral liquid water.
Reaction Type Identification Worksheet Solutions:
: Double displacement
: Double displacement
: Single displacement
: Combustion
: Decomposition
: Single displacement
: Synthesis
: Double displacement (Neutralization)

Collision Theory, Energy Changes, and Reaction Kinetics
Fundamental Definitions in Reaction Kinetics:
Chemical Reaction: The process of transforming one or more chemical substances into entirely new chemical substances with distinct properties.
Elements: Pure substances composed of only one single type of atom (e.g., elemental iron , metallic gold ).
Compounds: Substances composed of two or more different elements chemically bonded together in fixed proportions (e.g., , ).
Bond Re-arrangement Mechanism:
During chemical transformations, pre-existing chemical bonds binding reactant atoms must be broken, and new chemical bonds are established to construct product molecules.
Worked Example: Molecules of diatomic nitrogen () and diatomic oxygen () have their internal bonds broken to yield isolated nitrogen and oxygen atoms, which reorganize into molecules of nitrogen oxide ().

Collision Theory Requirements:
For any chemical reaction to proceed, reacting particles must physically collide with one another.
Not every collision leads to a successful chemical change.
The Two Criteria for a Successful (Effective) Collision:
Sufficient Energy: Reacting particles must collide with energy equal to or exceeding the activation energy, which is defined as the minimum energy threshold required to break pre-existing chemical bonds.
Correct Orientation: Colliding particles must line up with the correct spatial alignment at the exact moment of collision.
Collision Outcomes:
Ineffective Collision: Particles lack activation energy or proper alignment; they bounce apart unchanged.
Effective Collision: Particles satisfy both energy and orientation criteria; bonds break and new product molecules form.
Energy and Chemical Bonds:
Energy must be absorbed by starting substances to break existing chemical bonds (input of activation energy).
Energy is released when new chemical bonds form.
Chemical potential energy is stored directly within chemical bonds. Whether a reaction absorbs or releases energy overall depends on the net difference between energy stored in reactants versus products.
Exothermic vs. Endothermic Reactions Summary:
Exothermic Reactions:
Energy Behavior: Energy is released overall to the surrounding environment.
Energy Comparison: Energy stored in products is LOWER than in reactants.
Surroundings Temperature: Temperature of surroundings will RISE / INCREASE.
Everyday Example: Combustion (burning hydrocarbon fuel).
Endothermic Reactions:
Energy Behavior: Energy is absorbed overall from the surrounding environment.
Energy Comparison: Energy stored in products is HIGHER than in reactants.
Surroundings Temperature: Temperature of surroundings will FALL / DECREASE.
Everyday Example: Photosynthesis.

Energy Profile Diagrams:
Exothermic Profile Diagram:
Reactants start at a higher potential energy level.
Energy rises to a peak representing the activation energy required for bond breaking.
Energy drops significantly as new bonds form, ending with products at a lower potential energy level.
Net energy difference is released into surroundings as heat.
Endothermic Profile Diagram:
Reactants start at a lower potential energy level.
Energy climbs to a high peak representing activation energy.
Energy drops slightly as bonds form, but products remain at a higher potential energy level than reactants.
Net energy difference is absorbed from surroundings.

Comprehensive Multiple-Choice and Conceptual Review Questions
Question 1: Is the generalized equation classified as a decomposition reaction?
Answer: True (a single compound breaks down into two constituent elements).
Question 2: What type of reaction is represented by ?
Answer: Synthesis Reaction (or combination).
Question 3: What type of reaction is ?
Answer: Single Displacement Reaction.
Question 4: Consider the chemical equation . In this equation, is a:
Answer: reactant.
Question 5: Consider the equation . In this equation, is a:
Answer: reactant.
Question 6: Which generalized equation represents a synthesis reaction?
Answer: .
Question 7: Which generalized equation represents a decomposition reaction?
Answer: .
Question 8: Which generalized equation represents a single displacement reaction?
Answer: .
Question 9: Identify the reaction type:
Answer: Synthesis (or combination).
Question 10: Identify the reaction type:
Answer: Single displacement.
Question 11: Identify the reaction type:
Answer: Synthesis (or combination).
Question 12: The reaction simulates what type of reaction?
Answer: Double Replacement.

Question 13: What type of reaction involves 2 substances combining to form 1 new compound?
Answer: Synthesis Reaction.
Question 14: What type of reaction involves one element replacing another element in a compound?
Answer: Single Displacement Reaction.
Question 15: What are the reactants in the chemical equation ?
Answer: .
Question 16: What are the products of the chemical reaction ?
Answer: and .
Question 17: The right side of the equation is called the:
Answer: products.
Question 18: The reaction type is called:
Answer: Decomposition.
