Define activation energy, $E_{a}$, as the minimum energy that colliding particles must have to react

Chemical Energetics: Exothermic & Endothermic Reactions

What is Activation Energy?

Activation energy, denoted by \$E_a\$, is the minimum amount of energy that colliding particles must possess to overcome the energy barrier and react. Think of it as a hill that the particles must climb before they can transform into products.

In chemistry, we often write:

\$E_a = \text{minimum energy required for reaction}\$

Exam Tip: Remember that only collisions with energy ≥ \$E_a\$ lead to a reaction. Use the analogy of cars climbing a hill to explain this concept.

Exothermic Reactions 🔥

In an exothermic reaction, the products have lower energy than the reactants. The excess energy is released as heat (or light). The enthalpy change, \$ΔH\$, is negative.

\$ΔH < 0 \quad \text{(exothermic)}\$

Example: Combustion of methane

\$\text{CH}4 + 2\text{O}2 \rightarrow \text{CO}2 + 2\text{H}2\text{O} \quad ΔH = -890 \text{ kJ mol}^{-1}\$

Endothermic Reactions ❄️

Endothermic reactions absorb energy from the surroundings. The products have higher energy than the reactants, so \$ΔH\$ is positive.

\$ΔH > 0 \quad \text{(endothermic)}\$

Example: Photosynthesis

\$6\text{CO}2 + 6\text{H}2\text{O} \rightarrow \text{C}6\text{H}{12}\text{O}6 + 6\text{O}2 \quad ΔH = +2800 \text{ kJ mol}^{-1}\$

Energy Diagram & Activation Energy

An energy diagram shows the relative energies of reactants, products, and the transition state (the top of the hill). The vertical distance from reactants to the transition state is \$E_a\$.

\$E_a = \text{height of the hill (energy barrier)}\$

The difference between reactants and products is the net enthalpy change, \$ΔH\$.

\$ΔH = H{\text{products}} - H{\text{reactants}}\$

Key points:

  • \$E_a\$ is always positive.
  • For a given reaction, \$E_a\$ does not change with temperature.
  • Temperature increases the average kinetic energy of particles, so more collisions reach \$E_a\$ and the rate rises.
  • A catalyst lowers \$E_a\$ but does not change \$ΔH\$.

Catalysts & Reaction Rates

A catalyst provides an alternative pathway with a lower activation energy. It is like a ramp that helps cars climb the hill more easily.

\$\text{Catalyst lowers } E_a \quad \text{but } ΔH \text{ remains unchanged}\$

Exam Tip: When asked about catalysts, mention that they reduce \$E_a\$ (increase rate) but do not affect the heat of reaction (\$ΔH\$). Use the “ramp” analogy to illustrate this.

Heat Flow in Reactions

Heat flow, \$Q\$, is related to the enthalpy change:

\$Q = -ΔH\$

Thus:

  • If \$ΔH < 0\$, then \$Q > 0\$ – heat is released (exothermic).
  • If \$ΔH > 0\$, then \$Q < 0\$ – heat is absorbed (endothermic).

Quick Reference Table

Reaction TypeΔH SignHeat FlowEmoji
Exothermic\$ΔH < 0\$\$Q > 0\$ (heat released)🔥
Endothermic\$ΔH > 0\$\$Q < 0\$ (heat absorbed)❄️

Final Exam Checklist:

  1. Define \$E_a\$ and explain its role in collision theory.
  2. Use the sign of \$ΔH\$ to identify exothermic vs endothermic reactions.
  3. Draw an energy diagram labeling reactants, products, transition state, \$E_a\$, and \$ΔH\$.
  4. Explain how a catalyst changes \$E_a\$ but not \$ΔH\$.
  5. Relate heat flow \$Q\$ to \$ΔH\$ and use the appropriate emoji to remember the direction of heat transfer.