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Entropy and Feasibility of Reactions

Gibbs free energy change

  • 3 things to know
  • Component 1

Overview

Equation that defines the Gibbs free energy change and units of each quantity used in the Gibbs equation.

What you need to know

Answer each one before you reveal it.

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Key term

For which signs of ΔH and ΔS is a reaction feasible at all temperatures, at none, or only at high temperatures?

Key term

State the equation that defines the Gibbs free energy change.

Key term

State the units of each quantity used in the Gibbs equation.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation that defines the Gibbs free energy change.

    Model answer

    ΔG = ΔH − TΔS.

  2. 2

    State the units of each quantity used in the Gibbs equation.

    Model answer

    ΔG and ΔH are in kJ mol⁻¹, T is in kelvin, and ΔS must be converted to kJ K⁻¹ mol⁻¹ before use.

  3. 3

    What must be true of the Gibbs free energy change for a reaction to be feasible?

    Model answer

    It must be negative.

  4. 4

    What is the value of the Gibbs free energy change when a system is at equilibrium?

    Model answer

    It is zero.

  5. 5

    Calculate ΔG at 298 K for CaCO₃(s) → CaO(s) + CO₂(g), given ΔH = +178 kJ mol⁻¹ and ΔS = +161 J K⁻¹ mol⁻¹.

    Model answer

    ΔG = 178 − 298 × 0.161 = 178 − 48.0 = +130 kJ mol⁻¹, so the decomposition is not feasible at that temperature.

  6. 6

    Calculate the minimum temperature at which CaCO₃(s) → CaO(s) + CO₂(g) becomes feasible, given ΔH = +178 kJ mol⁻¹ and ΔS = +161 J K⁻¹ mol⁻¹.

    Model answer

    Setting ΔG to zero gives T = 178 ÷ 0.161 = 1110 K.

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