SectionC8_BB - Tagged

CHEM10021 Chemistry for Bioscientists I: Equilibrium Notes

Page 1: Introduction to Equilibrium

  • University Context: Course on Chemistry for Bioscientists I, Section C8 focusing on the topic of Equilibrium.

  • Reference Year: Content relates to the context of Manchester in 1824.

Page 2: Chemical Equilibrium

  • Forward and Reverse Reactions: Every forward reaction has an accompanying reverse reaction.

  • Equilibrium Representation:

    • Conc. [P] R P

    • At equilibrium, the rate of formation of products equals the rate of decomposition of reactants.

  • Dynamic Chemical Equilibrium: A state where the concentrations of reactants and products remain constant over time as they are continuously formed and decomposed.

Page 3: Gibbs Energy and Equilibrium

  • Gibbs Energy Relation: When ∆G = 0, a reaction is at equilibrium.

  • Minimum Gibbs Energy: At equilibrium, the Gibbs energy is minimized; excess reactants or products will not lower Gibbs energy.

  • Extent of Reaction: Concentration changes do not drive the system away from its Gibbs energy state at equilibrium.

Page 4: Reaction Quotient, Q

  • Arbitrary Concentrations: To calculate

    • ∆G for arbitrary concentrations, we reference the standard Gibbs energy change (∆G°) which assumes standard concentrations for reactants/products.

  • Composition Calculation: The equilibrium composition can be calculated using the reaction quotient, Q.

Page 5: Gibbs Energy of a Reaction

  • Gibbs Energy Change: Defined for a theoretical reaction with 1 mole of reactants/products at standard conditions.

  • Formula:

    • ∆G° = ∆H° - T∆S°

  • Variables:

    • ∆H°: Standard enthalpy change

    • T: Absolute temperature

    • ∆S°: Standard entropy change

Page 6: Biological Standard State

  • Chemical Standard State: Typically defined at 1 mol dm⁻³ concentrations.

  • Biological Standard State: Maintains 1 mol dm⁻³ & pH 7 (with [H⁺]=10⁻⁷ mol dm⁻³).

  • Gibbs Energy Terminology:

    • ∆G°: Used for the chemical standard state.

    • ∆G⁺: Used for the biological standard state.

Page 7: Reaction Quotient Q Definition

  • General Reaction Representation:

    • aA + bB ⇌ cC + dD

  • Q Formula:

    • Q = [C]ⁱ[D]ʳ/[A]ᵃ[B]ᵇ

  • Meaning of Q: The reaction quotient provides a measure of the relative amounts of products and reactants at any point.

Page 8: Thermodynamic Activity and Q

  • Activity: A dimensionless quantity that generalizes Q to different phases: solutions, solids, gases.

  • Concentration Influence:

    • For ideal solutions: Activity equals molarity.

    • Concentration example: If "A" = 0.1 mol dm⁻³, then activity = 0.1.

  • Pure Substances: For pure solids/liquids, activity is unity (1) and can be omitted.

  • Gases: Their activity equals their partial pressure in bar.

Page 9: Measuring Reaction Quotient Q

  • Q Calculation:

    • Q = [C]ⁱ[D]ʳ/[A]ᵃ[B]ᵇ

  • Purpose of Q: Measures the current concentrations of reactants and products, reflecting the system's state.

Page 10: Gibbs Energy Change for Arbitrary Concentrations

  • Relation of Gibbs Energy:

    • The Gibbs energy change for arbitrary concentrations (∆G) connects with standard Gibbs change (∆G°) via:

    • ∆G = ∆G° + RT ln(Q)

    • R is the universal gas constant.

Page 11: Continuation of Chemistry for Bioscientists I

  • Section Reference: Continuation from previous content outlining the key principles of chemical equilibrium.