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A-Level Enthalpy, entropy and the feasibility of reactions

What the A-Level syllabus expects for Enthalpy, entropy and the feasibility of reactions, and how to practise it.

What the syllabus expects

How it's examined

Questions on this topic most often ask you to calculate, state, deduce, define. About 8% of the past-paper style questions in Rae's bank for this subject sit in this topic.

Worked examples

Example 1 (3 marks)

Using Data Booklet values plus the figures below, find the mean Al–Cl bond energy in Al2Cl6. The data are: a dimerisation enthalpy for Al2Cl6(g) of −158.8 kJ mol−1, a formation enthalpy for AlCl3(g) of −248.6 kJ mol−1, and an atomisation enthalpy for Al(s) of +326 kJ mol−1. Draw an energy cycle and calculate the average Al–Cl bond energy.

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Build an energy cycle linking Al2Cl6(g) and its gaseous atoms via the elements. Formation of Al2Cl6(g) from elements = 2 x (formation of AlCl3(g)) + dimerisation = 2(-248.6) + (-158.8) = -656.0 kJ mol⁻¹. Atomising the same elements to gaseous atoms (2Al(s) + 3Cl2(g) -> 2Al(g) + 6Cl(g)): 2Al(s)->2Al(g) = 2(+326) = +652 ; 3Cl2->6Cl (Cl-Cl = +244) = 3(+244) = +732 ; total = +1384 kJ. By Hess' Law, atomising Al2Cl6(g) -> 2Al(g) + 6Cl(g): ΔH = -(-656.0) + 1384 = +2040 kJ mol⁻¹ (energy to break all Al-Cl bonds). Al2Cl6 is a chlorine-bridged dimer containing 8 Al-Cl bonds, so mean Al-Cl bond energy = 2040 / 8 = 255 kJ mol⁻¹.

Example 2 (2 marks)

Using bond energy values from the Data Booklet, work out C2H2's standard enthalpy change of combustion.

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C2H2 + 5/2 O2 -> 2CO2 + H2O Bonds broken (energy absorbed): 1 C(triple)C = 840 2 C-H = 2 x 410 = 820 2.5 O=O = 2.5 x 496 = 1240 total = 2900 kJ Bonds formed (energy released): 4 C=O (in CO2) = 4 x 805 = 3220 2 O-H = 2 x 460 = 920 total = 4140 kJ DeltaH_c = bonds broken - bonds formed = 2900 - 4140 = -1240 kJ/mol

Example 3 (2 marks)

Given that TiCl3 decomposes spontaneously only at high temperature, deduce the sign of the enthalpy change and explain your reasoning.

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For a reaction to be spontaneous, delta G = delta H - T delta S must be negative. Decomposition of a solid TiCl3 into products increases disorder (typically producing gas), so delta S is positive. If the reaction is spontaneous only at high temperature, then at low temperature it is non-spontaneous (delta G > 0) and only at high T does the -T delta S term become large enough and negative to make delta G < 0. This behaviour (non-spontaneous at low T, spontaneous at high T) requires delta H to be positive: with delta H > 0 and delta S > 0, delta G = delta H - T delta S is positive at low T and becomes negative only when T is large. Therefore delta H is positive (endothermic).

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More A-Level H2 Chemistry topics

The make-up of the atom and how its electrons are arranged · How atoms bond and how that governs a substance's behaviour · Ideal gases and working with gas mixtures · Competing definitions of acids and bases · Trends in the elements across a period and down a group · The mole and reacting-quantity calculations · all of A-Level H2 Chemistry