The Feasibillity of a Reaction (OCR A Level Chemistry A): Revision Note

Exam code: H432

Philippa Platt

Written by: Philippa Platt

Reviewed by: Caroline Carroll

Updated on

The Feasibility of a Reaction

  • The Gibbs equation can be used to calculate whether a reaction is feasible or not

ΔGꝋ = ΔHreactionꝋ - TΔSsystemꝋ

  • When ΔGꝋ is negative, the reaction is feasible and likely to occur

  • When ΔGꝋis positive, the reaction is not feasible and unlikely to occur

  • Feasible and spontaneous are fairly similar terms to describe reactions

    • Feasible tends to be used to describe reactions which are energetically favourable, so reactions that should go

    • Spontaneous tends to be used to describe reactions that go of their own accord

Worked Example

Calculate the Gibbs free energy change for the following reaction at 298 K and determine whether the reaction is feasible.

2Ca (s) + O2 (g) → 2CaO (s)         ΔH = -1271 kJ mol-1

Sꝋ[Ca(s)] = 41.00 J K-1 mol-1

Sꝋ[O2(g)] = 205.0 J K-1 mol-1

Sꝋ[CaO(s)] = 40.00 J K-1 mol-1

Answer

Step 1: Calculate ΔSsystemꝋ

   ΔSsystemꝋ = ΣSproductsꝋ - ΣSreactantsꝋ

   ΔSsystemꝋ = (2 x ΔSꝋ [CaO(s)]) -  (2 x ΔSꝋ [Ca(s)] + ΔSꝋ [O2(g)])

   = (2 x 40.00) - (2 x 41.00 + 205.0)

   = -207.0 J K-1 mol-1

Step 2: Convert ΔSꝋ to kJ K-1 mol-1

   = -207.0 J K-1 mol-1÷ 1000 = -0.207 kJ K-1 mol-1

Step 3: Calculate ΔGꝋ

   ΔGꝋ = ΔHreactionꝋ - TΔSsystemꝋ

   = -1271 - (298 x -0.207)

   = -1209.3 kJ mol-1

Step 4: Determine whether the reaction is feasible

   Since the ΔGꝋ is negative the reaction is feasible

Feasibility and Temperature 

  • The feasibility of a reaction can be affected by the temperature

  • The Gibbs equation will be used to explain what will affect the feasibility of a reaction for exothermic and endothermic reactions

Gibbs equation: delta G = delta H (reaction) - T delta S (system), with delta H (reaction) labelled the first term and T delta S labelled the second term.

Exothermic reactions

  • In exothermic reactions, ΔHreactionꝋ is negative

  • If the ΔSsystemꝋ is positive:

    • Both the first and second term will be negative

    • Resulting in a negative ΔGꝋ so the reaction is feasible

    • Therefore, regardless of the temperature, an exothermic reaction with a positive ΔSsystemꝋ will always be feasible

  • If the ΔSsystemꝋ is negative:

    • The first term is negative and the second term is positive

    • At very high temperatures, the -TΔSsystemꝋ will be very large and positive and will overcome ΔHreactionꝋ

    • Therefore, at high temperatures ΔGꝋ is positive and the reaction is not feasible

  • Since the relative size of an entropy change is much smaller than an enthalpy change, it is unlikely that TΔS > ΔH as temperature increases

  • These reactions are therefore usually spontaneous at normal conditions

Flow chart for an exothermic reaction (delta H negative): with negative delta S, delta G is negative at low temperature (feasible) but positive at high temperature (not feasible); with positive delta S, delta G is always negative, so always feasible.

The diagram shows under which conditions exothermic reactions are feasible

Endothermic reactions

  • In endothermic reactions, ΔHreactionꝋ is positive

  • If the ΔSsystemꝋ is negative:

    • Both the first and second term will be positive

    • Resulting in a positive ΔGꝋ so the reaction is not feasible

    • Therefore, regardless of the temperature, endothermic with a negative ΔSsystemꝋ will never be feasible

  • If the ΔSsystemꝋ is positive:

    • The first term is positive and the second term is negative

    • At low temperatures, the -TΔSsystemꝋ will be small and negative and will not overcome the larger ΔHreactionꝋ

    • Therefore, at low temperatures ΔGꝋ is positive and the reaction is not feasible

    • The reaction is more feasible at high temperatures as the second term will become negative enough to overcome the ΔHreactionꝋ resulting in a negative ΔGꝋ

  • This tells us that for certain reactions which are not feasible at room temperature, they can become feasible at higher temperatures

    • An example of this is found in metal extractions, such as the extraction if iron in the blast furnace, which will be unsuccessful at low temperatures but can occur at higher temperatures (~1500 oC in the case of iron)

Flow chart for an endothermic reaction (delta H positive): with negative delta S, delta G is always positive, so never feasible; with positive delta S, not feasible at low temperature but feasible at high temperature.

The diagram shows under which conditions endothermic reactions are feasible

A summary table of free energy conditions

Summary table of delta H, delta S, the effect of increasing temperature and whether the reaction is spontaneous: negative and positive, always; negative and negative, usually; positive and positive, yes above a certain temperature; positive and negative, never.

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Philippa Platt

Author: Philippa Platt

Expertise: Chemistry Content Creator

Philippa has worked as a GCSE and A level chemistry teacher and tutor for over thirteen years. She studied chemistry and sport science at Loughborough University graduating in 2007 having also completed her PGCE in science. Throughout her time as a teacher she was incharge of a boarding house for five years and coached many teams in a variety of sports. When not producing resources with the chemistry team, Philippa enjoys being active outside with her young family and is a very keen gardener

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.