Edexcel International A Level (IAL) Chemistry (YCH11) - Unit 2 - 6.6 Hess’s Law and enthalpy cycles-Study Notes - New Syllabus

Edexcel International A Level (IAL) Chemistry (YCH11) -Unit 2 – 6.6 Hess’s Law and enthalpy cycles- Study Notes- New syllabus

Edexcel International A Level (IAL) Chemistry (YCH11) -Unit 2 – 6.6 Hess’s Law and enthalpy cycles- Study Notes -International A Level (IAL) Chemistry (YCH11) – per latest Syllabus.

Key Concepts:

6.6 know Hess’s Law and be able to apply it to:
i constructing enthalpy cycles
ii calculating enthalpy changes of reaction using data provided, or data selected from a table or obtained from experiments

Edexcel International A Level (IAL) Chemistry (YCH11) -Concise Summary Notes- All Topics

6.6 Hess’s Law

Hess’s Law states that:

The enthalpy change of a reaction is independent of the pathway taken and depends only on the initial and final states.

 

Key Idea

  • Energy is conserved.
  • Direct route = indirect route.
  • Allows calculation of ΔH when direct measurement is difficult.

(i) Constructing Enthalpy Cycles

An enthalpy cycle is a diagram showing different pathways between reactants and products.

How to Construct a Cycle

  • Step 1: Write the target reaction.
  • Step 2: Identify known enthalpy changes (e.g. ΔfH or ΔcH).
  • Step 3: Draw arrows linking reactants → elements → products (or other route).
  • Step 4: Ensure cycle is closed.

Using Formation Enthalpies

\( \Delta H = \sum \Delta_f H (\text{products}) – \sum \Delta_f H (\text{reactants}) \)

Example (Cycle Setup)

\( \mathrm{CO(g) + \frac{1}{2}O_2(g) \rightarrow CO_2(g)} \)

  • Use ΔfH values of CO and CO\(_2\).
  • Elements (C, O\(_2\)) form intermediate step.

(ii) Calculating Enthalpy Changes Using Hess’s Law

Enthalpy changes can be calculated by:

  • Reversing equations → change sign of ΔH
  • Multiplying equations → multiply ΔH
  • Adding equations → add ΔH values

Example 1 :

Calculate ΔH for:

\( \mathrm{CO(g) + \frac{1}{2}O_2(g) \rightarrow CO_2(g)} \)

Given:

  • \( \Delta_f H (\mathrm{CO_2}) = -394 \,\mathrm{kJ\,mol^{-1}} \)
  • \( \Delta_f H (\mathrm{CO}) = -111 \,\mathrm{kJ\,mol^{-1}} \)
▶️ Answer/Explanation

\( \Delta H = \sum \Delta_f H (\text{products}) – \sum \Delta_f H (\text{reactants}) \)

\( \Delta H = (-394) – (-111) \)

\( \Delta H = -283 \,\mathrm{kJ\,mol^{-1}} \)

Example 2:

Find ΔH for:

\( \mathrm{C(graphite) + \frac{1}{2}O_2(g) \rightarrow CO(g)} \)

Given:

\( \mathrm{C + O_2 \rightarrow CO_2} \quad \Delta H = -394 \,\mathrm{kJ\,mol^{-1}} \)

\( \mathrm{CO + \frac{1}{2}O_2 \rightarrow CO_2} \quad \Delta H = -283 \,\mathrm{kJ\,mol^{-1}} \)

▶️ Answer/Explanation

Reverse second equation:

\( \mathrm{CO_2 \rightarrow CO + \frac{1}{2}O_2} \quad \Delta H = +283 \)

Add equations:

\( \mathrm{C + O_2 \rightarrow CO_2} \)

\( \mathrm{CO_2 \rightarrow CO + \frac{1}{2}O_2} \)

Overall:

\( \mathrm{C + \frac{1}{2}O_2 \rightarrow CO} \)

\( \Delta H = -394 + 283 = -111 \,\mathrm{kJ\,mol^{-1}} \)

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