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Entropy and free energy

Past-paper questions pack

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Questions are numbered; the mark schemes (the answer key) follow on separate pages so the question pages can be handed out alone. www.chemistryaleveltutor.com

OCR AS and A-level Chemistry past-paper questions since 2016 · 25 parts · mark schemes follow the questions · www.chemistryaleveltutor.com · Questions and mark schemes © OCR

1. June 2025 · Paper 1 · Q17(a)(iii) · 2 marks ·
(iii) Explain why the standard entropy of CO2 is greater than the standard entropy of Fe2O3.
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2. June 2025 · Paper 1 · Q17(a)(iv) · 2 marks ·
(iv) The standard entropy change, ΔSɵ, for the forward reaction in Equilibrium 17.1 has a value of
+15 J K–1 mol–1.
Use data from the table to calculate the standard entropy, S ɵ, of Fe.
Sɵ =  ....................................... J K–1 mol–1 [2]
3. June 2025 · Paper 1 · Q17(b) · 3 marks ·
(b) Carbon can also reduce Fe2O3(s) to iron as shown in Equilibrium 17.2.
Fe2O3(s) + 3C(g) 3CO(g) + 2Fe(s) Equilibrium 17.2
ΔH = +491 kJ mol–1
ΔS = +543 J K–1 mol–1
The forward reaction is only feasible at high temperatures.
• Show that the forward reaction is not feasible at 100 °C.
• Calculate the minimum temperature, in K, for the forward reaction to be feasible.
Give the minimum temperature to the nearest whole number.
T =  ..................................................... K [3]
4. June 2024 · Paper 1 · Q16(a)(i) · 4 marks ·
SECTION B
16 This question is about energy changes.
Hydrogen peroxide decomposes as shown in Reaction 16.1.
H2O2(l) H2O(l) + 1 2O2(g) Reaction 16.1
(a) The table shows enthalpy changes of formation and entropies.
∆Hf ө / kJ mol–1 Sө / J K–1 mol–1
H2O2(l) –188 110
H2O(l) –286 70.0
O2(g) 0 205
(i) Calculate the free-energy change, ∆G, in kJ mol–1, of Reaction 16.1 at 25 °C.
Give your answer to 3 significant figures.
∆G = ..............................................kJ mol–1 [4]
5. June 2024 · Paper 1 · Q16(a)(ii) · 1 marks ·
(ii) The decomposition of hydrogen peroxide shown in Reaction 16.1 is feasible.
Suggest why Reaction 16.1 does not take place at 25 °C despite being feasible.
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6. June 2023 · Paper 1 · Q9 · 1 marks · AO2
9 The table below shows standard entropies, Sө.
Substance SO2(g) O2(g) SO3(l)
Sө/J K–1 mol–1 248 204 96
What is the standard entropy change, ∆Sө, in J K mol–1, for the formation of 1 mol of SO3(l) from
SO2(g) and O2(g)?
A –508
B –254
C +254
D +508
Your answer [1]
7. June 2023 · Paper 1 · Q15 · 1 marks · AO2
15 Chlorine trifluoride can be decomposed into its elements forming the equilibrium mixture below.
2Cl F3(g) Cl 2(g) + 3F2(g) ∆H = +318 kJ mol–1
colourless green yellow
gas gas gas
Which statement(s) is/are correct?
1 The decomposition is a redox reaction.
2 When the equilibrium mixture is cooled, the colour fades.
3 The decomposition has a negative entropy change.
A 1, 2 and 3
B Only 1 and 2
C Only 2 and 3
D Only 1
Your answer [1]
8. June 2023 · Paper 1 · Q18(c)(i) · 1 marks · AO2
(c) Ethene can be produced from ethanol, as shown in Reaction 2 below.
C2H5OH(g) C2H4(g) + H2O(g)            Reaction 2
(i) Predict the sign of the entropy change, ∆S, for Reaction 2.
Explain your reasoning.
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9. June 2023 · Paper 1 · Q18(c)(ii) · 5 marks · AO3
(ii) Reaction 2 is repeated:
C2H5OH(g) C2H4(g) + H2O(g)            Reaction 2
The Gibbs equation is shown below.
∆G = ∆H – T∆S
The enthalpy change, ∆H, and the entropy change, ∆S, can be assumed to be constant
at different temperatures.
Fig. 18.1 shows values of the free energy change, ∆G, in kJ mol–1, at different
temperatures, T, in K, for Reaction 2.
Fig. 18.1
60
50
40
30
20
10
∆G
0
/ kJ mol–1
–10
–20
–30
–40
–50
–60
0 100 200 300 400 500 600 700 800 900
T / K
Use the graph in Fig. 18.1 to answer the following:
• Draw the best-fit line on the graph in Fig. 18.1.
• Determine ∆S, in J K–1 mol–1, for  Reaction 2.
• Determine the minimum temperature, T, at which the reaction is feasible.
• Determine ∆H for Reaction 2.
∆S = .................................... J K–1 mol–1
minimum T = ....................... K
∆H = .................................... kJ mol–1
[5]
10. June 2022 · Paper 1 · Q10 · 1 marks · AO2
10 For the condensation of ammonia gas, what are the signs of ∆H and ∆S?
A ∆H –ve ∆S –ve
B ∆H –ve ∆S +ve
C ∆H +ve ∆S +ve
D ∆H +ve ∆S –ve
Your answer [1]
11. June 2022 · Paper 1 · Q17(c)(i) · 1 marks · AO1
(c) Carbon disulfide, CS2, reacts with dinitrogen oxide, N2O, as shown in Reaction 17.2.
4CS2(l)  +  8N2O(g) S8(s)  +  4CO2(g)  +  8N2(g)    Reaction 17.2
Standard entropies, S ө, are shown in the table.
Substance CS2(l) N2O(g) S8(s) CO2(g) N2(g)
S ө/ J K–1 mol–1 151 220 256 214 192
(i) Explain the term entropy.
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12. June 2022 · Paper 1 · Q17(c)(ii) · 3 marks · AO2
(ii) The free energy change, ∆G, of Reaction 17.2 is –2672 kJ mol–1 at 25 °C.
Calculate the enthalpy change, ∆H, of Reaction 17.2, in kJ mol–1.
∆H =  ............................................ kJ mol–1 [3]
13. June 2022 · Paper 1 · Q17(c)(iii) · 2 marks · AO3
(iii) A student concludes that Reaction 17.2 is feasible at all temperatures.
Explain whether the student is correct or not.
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14. November 2021 · Paper 1 · Q11 · 1 marks ·
11 The feasibility of a chemical reaction depends on the temperature and the signs of ΔH and ΔS.
Which row has signs for ΔH and ΔS for a reaction that is feasible at high temperatures but is not
feasible at low temperatures?
ΔH ΔS
A + +
B + –
C – +
D – –
Your answer [1]
15. November 2021 · Paper 1 · Q20(b)(i) · 2 marks · AO2
(b) (i) Show that the formation of NO2 in Equilibrium 20.1 is feasible at 25 °C.
[2]
16. November 2021 · Paper 1 · Q20(b)(ii) · 1 marks · AO2
(ii) Determine the maximum temperature, in K, for feasibility.
Give your answer to an appropriate number of significant figures.
maximum temperature = .................... K [1]
17. November 2020 · Paper 1 · Q17(c) · 5 marks · AO2, 3
(c) Standard entropy values are given below.
Substance CO(g) H2(g) CH3OH(g)
Sө / J K−1 mol−1 198 131 238
A chemist proposed producing methanol at 525 K using equilibrium 1.
Explain, with a calculation, whether the production of methanol is feasible at 525 K.
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18. November 2020 · Paper 1 · Q17(d) · 3 marks · AO1, 3
(d) At 298 K, the free energy change, ∆G, for the production of methanol in equilibrium 1 is
−2.48 × 104 J mol−1.
∆G is linked to Kp by the relationship: ∆G = −RT lnKp.
R = gas constant
T = temperature in K.
Calculate Kp for equilibrium 1 at 298 K.
Give your answer to 3 significant figures.
Kp =  .......................... units ...................... [3]
19. June 2019 · Paper 1 · Q19(a)(ii) · 4 marks · AO2, 3
(ii)  Some standard entropy values are given below.
Substance H2S(g) O2(g) SO2(g) H2O(l)
Sө / J K−1 mol−1 206 205 248 70
Using calculations, explain whether Reaction 1 is feasible at 20 °C.
Calculations
Explanation for feasible or non feasible  .......................................................................
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20. June 2019 · Paper 3 · Q5(b) · 4 marks · AO2
(b) The standard enthalpy change of reaction, ∆rH  o , and the standard free energy change, ∆G  o ,
for converting anhydrous sodium thiosulfate to hydrated sodium thiosulfate are shown below.
Na2S2O3(s) + 5H2O(l) → Na2S2O3•5H2O(s) ∆rH  o  = –55.8 kJ mol−1
∆G  o  = –16.1 kJ mol−1
Standard entropies are given in the table.
Compound S  o  / J K−1 mol−1
Na2S2O3•5H2O(s) 372.4
H2O(l) 69.9
Determine the standard entropy, S  o , of anhydrous sodium thiosulfate, Na2S2O3(s).
Give your answer to 3 significant figures.
S  o  =  ....................................... J K−1 mol−1 [4]
21. June 2018 · Paper 1 · Q11 · 1 marks · AO1
11 The table below shows standard entropies, Sө.
Substance CO(g) H2(g) CH3OH(l)
Sө / J mol–1 K–1 197.6 130.6 239.7
What is the entropy change, ∆Sө, in J mol–1 K–1, for the following reaction?
CO(g) + 2H2(g) CH3OH(l)
A –219.1
B –88.5
C +88.5
D +219.1
Your answer [1]
22. June 2017 · Paper 1 · Q17(d)(i) · 2 marks ·
(d) Two changes are described below.
For each change,
• write an equation, including state symbols,
• state and explain how the entropy changes.
(i) The reaction of aqueous barium nitrate with aqueous sodium sulfate.
Full equation with state symbols
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Explanation of entropy change  ..........................................................................................
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23. June 2017 · Paper 1 · Q17(d)(ii) · 2 marks ·
(ii) The change that accompanies the standard enthalpy change of atomisation of iodine.
Equation with state symbols
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Explanation of entropy change  ..........................................................................................
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24. June 2017 · Paper 1 · Q18(a) · 4 marks ·
18 This question is about free energy changes, ∆G, enthalpy changes, ∆H, and temperature, T.
(a) The Gibbs’ equation is shown below.
∆G = ∆H – T∆S
A chemist investigates a reaction to determine how ∆G varies with T.
The results are shown in Fig. 18.1.
+
ΔG Q
/ kJ mol–1 0,0
T/K
–
P
Fig. 18.1
What is significant about the gradient of the line and the values P and Q shown in Fig. 18.1?
Explain your reasoning.
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25. June 2017 · Paper 1 · Q18(b)(iii) · 3 marks ·
(iii) The forward reaction in equilibrium 18.1 is only feasible at high temperatures.
• Show that the forward reaction is not feasible at 25 °C.
• Calculate the minimum temperature, in K, for the forward reaction to be feasible.
minimum temperature =  ...................................................... K [3]

Mark schemes

1. June 2025 · Paper 1 · Q17(a)(iii)
Mark scheme June 2025 Paper 1 Q17(a)(iii)
2. June 2025 · Paper 1 · Q17(a)(iv)
Mark scheme June 2025 Paper 1 Q17(a)(iv)
3. June 2025 · Paper 1 · Q17(b)
Mark scheme June 2025 Paper 1 Q17(b)
4. June 2024 · Paper 1 · Q16(a)(i)
Mark scheme June 2024 Paper 1 Q16(a)(i)
5. June 2024 · Paper 1 · Q16(a)(ii)
Mark scheme June 2024 Paper 1 Q16(a)(ii)
6. June 2023 · Paper 1 · Q9
Mark scheme June 2023 Paper 1 Q9
7. June 2023 · Paper 1 · Q15
Mark scheme June 2023 Paper 1 Q15
8. June 2023 · Paper 1 · Q18(c)(i)
Mark scheme June 2023 Paper 1 Q18(c)(i)
9. June 2023 · Paper 1 · Q18(c)(ii)
Mark scheme June 2023 Paper 1 Q18(c)(ii)
10. June 2022 · Paper 1 · Q10
Mark scheme June 2022 Paper 1 Q10
11. June 2022 · Paper 1 · Q17(c)(i)
Mark scheme June 2022 Paper 1 Q17(c)(i)
12. June 2022 · Paper 1 · Q17(c)(ii)
Mark scheme June 2022 Paper 1 Q17(c)(ii)
13. June 2022 · Paper 1 · Q17(c)(iii)
Mark scheme June 2022 Paper 1 Q17(c)(iii)
14. November 2021 · Paper 1 · Q11
Mark scheme November 2021 Paper 1 Q11
15. November 2021 · Paper 1 · Q20(b)(i)
Mark scheme November 2021 Paper 1 Q20(b)(i)
16. November 2021 · Paper 1 · Q20(b)(ii)
Mark scheme November 2021 Paper 1 Q20(b)(ii)
17. November 2020 · Paper 1 · Q17(c)
Mark scheme November 2020 Paper 1 Q17(c)
18. November 2020 · Paper 1 · Q17(d)
Mark scheme November 2020 Paper 1 Q17(d)
19. June 2019 · Paper 1 · Q19(a)(ii)
Mark scheme June 2019 Paper 1 Q19(a)(ii)
20. June 2019 · Paper 3 · Q5(b)
Mark scheme June 2019 Paper 3 Q5(b)
21. June 2018 · Paper 1 · Q11
Mark scheme June 2018 Paper 1 Q11
22. June 2017 · Paper 1 · Q17(d)(i)
Mark scheme June 2017 Paper 1 Q17(d)(i)
23. June 2017 · Paper 1 · Q17(d)(ii)
Mark scheme June 2017 Paper 1 Q17(d)(ii)
24. June 2017 · Paper 1 · Q18(a)
Mark scheme June 2017 Paper 1 Q18(a)
25. June 2017 · Paper 1 · Q18(b)(iii)
Mark scheme June 2017 Paper 1 Q18(b)(iii)