Calculating Entropy Changes (Cambridge (CIE) A Level Chemistry): Revision Note
Entropy Change Calculations
The standard entropy change (ΔSsystemθ) for a given reaction can be calculated using the standard entropies (Sθ) of the reactants and products
The equation to calculate the standard entropy change of a system is:
ΔSsystemθ = ∑Sproductsθ - ∑Sreactantsθ
(where ∑ = sum of)
For example, the standard entropy change for the formation of ammonia (NH3) from nitrogen (N2) and hydrogen (H2) can be calculated using this equation
N2 (g) + 3H2 (g) ⇋ 2NH3 (g)
ΔSsystemθ = (2 x ΔSθ(NH3)) - (ΔSθ(N2) + 3 x ΔSθ(H2))
Worked Example
Calculate the entropy change of the system for the following reaction:
2Mg (s) + O2 (g) → 2MgO (s)
Sθ [Mg (s)] = 32.60 J K–1 mol–1
Sθ [O2 (s)] = 205.0 J K–1 mol–1
Sθ [MgO (s)] = 38.20 J K–1 mol–1
Answer:
ΔSsystemθ = ΣΔSproductsθ - ΣΔSreactantsθ
ΔSsystemθ = (2 x 38.20) - (2 x 32.60 + 205.0)
ΔSsystemθ = –193.8 J K-1 mol-1
Examiner Tips and Tricks
Use the stoichiometry of the equation and the correct state of the compounds when calculating the entropy change of a reaction
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