Energy changes in reactions

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Energy cycles

DP Chemistry

Energy Cycles in Reactions

Have you ever thought about why some reactions give off heat while others take in heat? Why do we need energy to break bonds and lose energy when we make bonds? Chemical reactions involve energy changes, and each reaction can be understood in terms of an energy cycle.

In chemistry, energy is measured in kilojoules per mole (kJ/mol). Energy is involved in:

  • Breaking chemical bonds – requires energy (an endothermic process)
  • Forming chemical bonds – releases energy (an exothermic process)

Every chemical reaction is a balance of these two energy changes.

Types of Energy Changes

Exothermic Reactions

  • Energy is released to the surroundings.
  • Products have less energy than reactants.
  • Usually felt as heat, light, or sound.
  • Example: Combustion of fuels releases heat and light.

Endothermic Reactions

  • Energy is absorbed from the surroundings.
  • Products have more energy than reactants.
  • Often results in the cooling of the surroundings
  • Example: Photosynthesis uses sunlight to create glucose.

Key idea: The net energy change indicates if the reaction is exothermic or endothermic.

Bond Energies and Reaction Enthalpy

Chemical reactions include the breaking and formation of bonds.

  • To break bonds: put in energy → endothermic step
  • To form bonds: energy is released → exothermic step

The overall change in enthalpy (ΔH) of a reaction is given by:

ΔH = energy released from bond formation - energy absorbed from bond breaking

Example: Combustion of methane

  • Bonds broken: C–H and O=O → requires energy
  • Bonds formed: C=O and O–H → releases energy
  • Net ΔH is negative → reaction is exothermic.

Remember:

  • ΔH < 0 → exothermic, energy released
  • ΔH > 0 → endothermic, energy absorbed
  • Units = kJ/mol

Hess's Law: Energy Cycles

Hess's Law becomes handy when the direct measurement of energy changes is difficult.

Hess's Law states:

The total enthalpy change of a reaction is the same regardless of the route taken.

Hess's Law states energy is conserved in chemical reactions, allowing the use of energy cycles to calculate ΔH indirectly.

Example:

Direct measurement of the formation of CO₂ from C and O₂ may be challenging.

Alternative path:

  • C + ½ O₂ → CO (ΔH₁)
  • CO + ½ O₂ → CO₂ (ΔH₂)
  • Total ΔH = ΔH₁ + ΔH₂

Hess's law allows us to calculate ΔH for reactions that cannot be measured with a calorimeter.

Enthalpy is a state function → depends only on the initial and final states, not the path.

Energy cycles using bond enthalpies

Bond enthalpy tables give average bond energies, which can be used to estimate the enthalpy of a reaction.

Steps to use bond enthalpies:

  1. Write the bonds in the reactants
  2. Write the bonds in the products
  3. Apply the formula:

ΔH ≈ sum of bonds broken − sum of bonds formed

Example: Formation of H₂O.

  • Bonds Broken: H–H, O=O.
  • Bonds Formed: O–H in water
  • Calculate the net ΔH → to tell whether the reaction is exothermic or endothermic

Bullet points:

  • Useful for quick estimates of energy change
  • More accurate than rough guessing
  • Helps explain why reactions release or absorb heat

Calorimetry: Measuring Energy Changes

Energy changes can also be measured experimentally using calorimetry.

Calorimeter: A calorimeter measures the amount of heat involved in a chemical reaction.

Types of Calorimeters:

  • Bomb calorimeter: measures the heat of reaction for combustion.
  • Simple coffee cup calorimeter: measures the heat of reaction for aqueous reactions.

Basic Principle

q = mcΔT

q = heat absorbed/released (J)

m = mass of solution (g)

c = specific heat capacity (J/g·°C)

ΔT = temperature change (°C)

Heat gained by water = heat released by reaction

The sign of ΔH tells us if the reaction is exothermic (ΔH < 0) or endothermic (ΔH > 0)

Experimental ΔH will always be < theoretical ΔH

Energy Cycles in Ionic Reactions

Lattice enthalpy and hydration enthalpy are also important in ionic reactions.

Lattice Enthalpy (ΔHₗₐₜₜᵢcₑ) When gaseous ions turn into solid ions, energy is released, and is associated with the formation of an ionic lattice. Lattice enthalpy is highly exothermic, which is one of the reasons why ionic compounds are very stable.

Hydration Enthalpy (ΔHₕyₒₐₜᵢₒₙ) When ions dissolve in water, energy is released. Energy released is exothermic and depends on the size and charge of the ions.

Born-Haber Cycle: Lattice, and other energy changes of ionic compounds can be used to calculate the enthalpy of formation of an ionic compound. The Born-Haber cycle includes:

  • Sublimation of metal
  • Ionization of metal
  • Dissociation of non-metal
  • Electron affinity of non-metal
  • Lattice formation

The net ΔH can be calculated using Hess's Law.

Energy cycles explain the stability of ionic salts and why some salts are more stable/soluble.

Factors Affecting Energy Changes

  • Stronger bonds are formed, and more energy is released.
  • ΔH differs for solids, liquids, and gases
  • Temperature and pressure can slightly affect reaction enthalpy
  • Ionic charges and sizes affect lattice and hydration enthalpies.

Summary

Energetic cycles in chemistry consist of bond energy, enthalpy of reaction, and calorimetry. From this, we can predict if a reaction is exothermic or endothermic and calculate the enthalpy changes using Hess's Law. Enthalpy of lattice and hydration helps to understand compound stability, while energy changes and the making and breaking of bonds are interrelated.

Key Takeaway

  • Breaking bonds means energy is absorbed (endothermic).
  • Bonds formed = energy released = exothermic.
  • ΔH = bonds broken - bonds formed.
  • Hess's Law - total energy change does not depend on what steps you take.
  • Calorimetry measures ΔH.
  • Born-Haber cycles are used for ionic compounds.
  • Energy is never lost, only transferred. Predicting reaction pathways, fuels, and understanding reaction stability is only possible by understanding these cycles.

Energy pathways are formed by every chemical reaction, and understanding these pathways allows us to harness and manage energy efficiently.