This topic explores the thermodynamic principles governing chemical stability and reaction feasibility. It builds upon energetics by linking enthalpy chang
Topic Synopsis
This topic explores the thermodynamic principles governing chemical stability and reaction feasibility. It builds upon energetics by linking enthalpy changes with entropy changes to calculate the Gibbs free-energy change, and utilizes Born-Haber cycles to analyze lattice enthalpies.
Key Concepts & Core Principles
- Entropy (S): A measure of the disorder or randomness of a system. Gases have higher entropy than liquids, which have higher entropy than solids. Standard molar entropies (S°) are tabulated for substances at 298 K and 1 bar.
- Second Law of Thermodynamics: The total entropy of the universe increases for a spontaneous process. For a reaction to be spontaneous, the entropy change of the system plus the surroundings must be positive.
- Gibbs Free Energy (G): Defined as G = H – TS. The change in Gibbs free energy, ΔG = ΔH – TΔS, determines spontaneity at constant temperature and pressure. ΔG < 0: spontaneous; ΔG = 0: equilibrium; ΔG > 0: non-spontaneous.
- Standard Gibbs Free Energy Change (ΔG°): The Gibbs free energy change when reactants in their standard states form products in their standard states. It can be calculated from ΔG° = ΔH° – TΔS° or from standard Gibbs free energies of formation (ΔGf°).
- Feasibility and Temperature: The sign of ΔG depends on temperature. For endothermic reactions (ΔH > 0) with positive ΔS, ΔG becomes negative at high temperatures. For exothermic reactions (ΔH < 0) with negative ΔS, ΔG becomes positive at high temperatures.
Exam Tips & Revision Strategies
- Always check that units for enthalpy (kJ/mol) and entropy (J/K/mol) are consistent before using the Gibbs equation
- When calculating the temperature of feasibility, remember that delta G = 0 at the transition point
- Clearly label all steps in a Born-Haber cycle to avoid missing energy terms
- Ensure the temperature in the Gibbs equation is in Kelvin
- Use the Chemistry Data Booklet for standard entropy values
Common Misconceptions & Mistakes to Avoid
- Confusing enthalpy of lattice dissociation with enthalpy of lattice formation
- Incorrectly identifying the sign of entropy changes during physical or chemical changes
- Failing to convert units (e.g., J to kJ) when using the Gibbs free-energy equation
- Incorrectly rearranging the Gibbs free-energy equation to find the temperature of feasibility
- Misinterpreting the significance of the sign of delta G regarding reaction feasibility
Examiner Marking Points
- Definition of lattice enthalpy (dissociation or formation)
- Construction of Born-Haber cycles using enthalpy of formation, ionisation energy, atomisation, bond enthalpy, and electron affinity
- Comparison of experimental lattice enthalpies with theoretical values to identify covalent character
- Definition of enthalpy of hydration
- Calculation of enthalpy of solution using lattice enthalpies and hydration enthalpies
- Definition of entropy change (delta S) as a measure of disorder
- Calculation of entropy changes from absolute entropy values
- Application of the Gibbs free-energy equation (delta G = delta H - T delta S)