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1.8.4Physical Chemistry

Hess Cycles — Edexcel AS Chemistry Revision Notes & Topical Questions

5 min read 6 parts Lesson 36 of 42

📚 Edexcel AS Chemistry Hub / Topical Revision
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Part 1 of 6Hess Law

1.8.4 Hess Cycles
Statement
  • The enthalpy change of a reaction is the same whichever route is taken, provided the start and end conditions are the same.
Reason
  • Enthalpy is a state function, so it depends only on the initial and final states.
Use
  • It lets us calculate enthalpy changes that cannot be measured directly.
Cycles
  • Enthalpy cycles show direct and indirect routes between reactants and products.

Part 2 of 6Cycles Using Formation Data

Cycles Using Formation Data
Route
  • Reactants break down into elements, and the elements form the products.
Equation
  • Use ΔrH = ΣΔfH(products) − ΣΔfH(reactants), with every value multiplied by its coefficient.
Multiples
  • Multiply each ΔfH by the coefficient of that substance in the equation.
Elements
  • Elements in standard states have ΔfH = 0 and do not appear in the calculation.

Part 3 of 6Cycles Using Combustion Data

1
Write the equation for the reaction with all reactants and products.
2
Draw arrows from reactants and from products down to the combustion products.
3
Label each arrow with ΔcH multiplied by the right number of moles.
4
Apply the rule: ΔrH = ΣΔcH(reactants) − ΣΔcH(products).
5
Check the sign: a more exothermic combustion value means more energy released by that substance.
Data givenFormula
FormationΔrH = ΣΔfH(products) − ΣΔfH(reactants)
CombustionΔrH = ΣΔcH(reactants) − ΣΔcH(products)

Part 4 of 6Avoiding Mistakes

Direction of arrows
  • Follow an arrow in its direction to add the value and against it to subtract the value.
Coefficients
  • Multiply each enthalpy by the number of moles shown in the balanced equation.
States
  • Use the correct state for water, as ΔfH of H₂O(l) differs from H₂O(g).
Units
  • Give the final answer in kJ mol⁻¹ with the correct sign.

Part 5 of 6Worked Example

Question

  • Calculate ΔcH of methane given ΔfH values (kJ mol⁻¹): CH₄(g) = −75, CO₂(g) = −394, H₂O(l) = −286.
  • CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l).

  1. Sum of products = (−394) + 2(−286) = −966.
  2. Sum of reactants = (−75) + 0 = −75, because O₂ is an element.
  3. ΔrH = −966 − (−75) = −891 kJ mol⁻¹.

Answer ΔcH = −891 kJ mol⁻¹

Part 6 of 6Exam Checklist & Tips

1.8.4 – Key Points for the Exam

  • Hess law Total enthalpy change is independent of the route.
  • State function A property that depends only on the initial and final states.
  • Enthalpy cycle Diagram showing alternative routes between reactants and products.
  • Standard enthalpy of formation Enthalpy change forming one mole of a compound from its elements in standard states.

Common Mistakes

  • Adding formation values for reactants instead of subtracting them.
  • Forgetting to multiply by the stoichiometric coefficient.
  • Including ΔfH for elements as non-zero values.
  • Reversing the sign of ΔfH when applying combustion data.

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