The Gibbs Equation: Reaction Feasibility
- 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
Worked example
Worked example: Determining the feasibility of a reaction
Answer
- Step 1: Calculate ΔSsystemꝋ
ΔSsystemꝋ = ΣΔSproductsꝋ - ΣΔSreactantsꝋ
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
= -0.207
- Step 3: Calculate ΔGꝋ
ΔGꝋ = ΔHreactionꝋ - TΔSsystemꝋ
= -635.5 - (298 x -0.207)
= -573.8 kJ mol-1
- Step 4: Determine whether the reaction is feasible
Since the ΔGꝋ is negative the reaction is feasible and likely to occur