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HL Paper 2

An equation for the combustion of propane is given below.

C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(g)

Determine the standard enthalpy change, H, for this reaction, using section 11 of the data booklet.

 

[3]
a.

Calculate the standard enthalpy change, H, for this reaction using section 12 of the data booklet.

[2]
b.

Predict, giving a reason, whether the entropy change, S, for this reaction is negative or positive.

 

[1]
c.

Calculate S for the reaction in JK-1, using section 12 of the data booklet.

The standard molar entropy for oxygen gas is 205JK-1mol-1.

[2]
d.

Calculate the standard Gibbs free energy change, G, in kJ, for the reaction at 5 °C, using your answers to (b) and (d). Use section 1 of the data booklet.

(If you did not obtain an answer to (b) or (d) use values of -1952kJ and +113JK-1 respectively, although these are not the correct answers.)

[2]
e.



Millerite, a nickel sulfide mineral, is an important source of nickel. The first step in extracting nickel is to roast the ore in air.

The reaction for the formation of liquid tetracarbonylnickel is shown below:

Ni(s) + 4 CO(g) Ni(CO ) 4 (l)

Formulate an equation for the oxidation of nickel(II) sulfide to nickel(II) oxide.

[1]
a.

The nickel obtained from another ore, nickeliferous limonite, is contaminated with iron. Both nickel and iron react with carbon monoxide gas to form gaseous complexes, tetracarbonylnickel, Ni(CO ) 4 (g) , and pentacarbonyliron, Fe(CO ) 5 (g) . Suggest why the nickel can be separated from the iron successfully using carbon monoxide.

[1]
b.

Calculate the standard entropy change, Δ S θ , of the reaction, in J K 1 , using the values given.

[2]
c.i.

Calculate a value for Δ H θ  in kJ.

[1]
c.ii.

Use your answers to (c)(i) and (c)(ii), to determine the temperature, in °C, at which the decomposition of liquid tetracarbonylnickel to nickel and carbon monoxide becomes favourable.


(If you did not get answers to (c)(i) and (c)(ii), use 500  J K 1  and 200  kJ respectively but these are not the correct answers.)

[3]
c.iii.

Suggest why experiments involving tetracarbonylnickel are very hazardous.

[1]
d.



Compound A is in equilibrium with compound B.

Predict the electron domain and molecular geometries around the oxygen atom of molecule A using VSEPR

 

[2]
a.

State the type of hybridization shown by the central carbon atom in molecule B.

[1]
b.

State the number of sigma (σ) and pi (π) bonds around the central carbon atom in molecule B.

[1]
c.

The IR spectrum of one of the compounds is shown:

COBLENTZ SOCIETY. Collection © 2018 copyright by the U.S. Secretary of Commerce on behalf of the United States of America. All rights reserved.

Deduce, giving a reason, the compound producing this spectrum.

[1]
d.

Compound A and B are isomers. Draw two other structural isomers with the formula C3H6O.

[2]
e.

The equilibrium constant, Kc, for the conversion of A to B is 1.0×108 in water at 298K.

Deduce, giving a reason, which compound, A or B, is present in greater concentration when equilibrium is reached.

[1]
f(i).

Calculate the standard Gibbs free energy change, G, in kJmol1, for the reaction (A to B) at 298K. Use sections 1 and 2 of the data booklet.

[1]
f(ii).

Propanone can be synthesized in two steps from propene. Suggest the synthetic route including all the necessary reactants and steps.

[3]
g(i).

Propanone can be synthesized in two steps from propene.

Suggest why propanal is a minor product obtained from the synthetic route in (g)(i).

[2]
g(ii).



The Bombardier beetle sprays a mixture of hydroquinone and hydrogen peroxide to fight off predators. The reaction equation to produce the spray can be written as:

C6H4(OH)2(aq) + H2O2(aq) C6H4O2(aq) + 2H2O(l)
hydroquinone   quinone


 

Hydrogenation of propene produces propane. Calculate the standard entropy change, ΔSθ, for the hydrogenation of propene.

[2]
b.i.

The standard enthalpy change, ΔH θ, for the hydrogenation of propene is –124.4 kJ mol–1. Predict the temperature above which the hydrogenation reaction is not spontaneous.

[2]
b.ii.



Vanadium has a number of different oxidation states.

Electrode potentials for the reactions of vanadium and other species are shown below.

Determine the oxidation state of vanadium in each of the following species.

M17/4/CHEMI/HP2/ENG/TZ1/03.a

[2]
a.

Identify, from the table, a non-vanadium species that can reduce VO2+(aq) to V3+(aq) but no further.

[1]
b.i.

Identify, from the table, a non-vanadium species that could convert VO 2 + (aq)  to V2+(aq).

[1]
b.ii.

Formulate an equation for the reaction between VO2+(aq) and V2+(aq) in acidic solution to form V3+(aq).

[1]
c.i.

Comment on the spontaneity of this reaction by calculating a value for Δ G θ  using the data given in (b) and in section 1 of the data booklet.

[3]
c.ii.



Ethane-1,2-diol, HOCH2CH2OH, reacts with thionyl chloride, SOCl2, according to the reaction below.

HOCH2CH2OH (l) + 2SOCl2 (l) → ClCH2CH2Cl (l) + 2SO2 (g) + 2HCl (g)

Calculate the standard enthalpy change for this reaction using the following data.

[2]
a.

Calculate the standard entropy change for this reaction using the following data.

[1]
b.

The standard free energy change, ΔGθ, for the above reaction is –103 kJ mol–1 at 298 K.

Suggest why ΔGθ has a large negative value considering the sign of ΔHθ in part (a).

[2]
c.



This question is about ethene, C2H4, and ethyne, C2H2.

Ethyne, like ethene, undergoes hydrogenation to form ethane. State the conditions required.

[2]
a.i.

Outline the formation of polyethene from ethene by drawing three repeating units of the polymer.

[1]
a.ii.

Ethyne reacts with chlorine in a similar way to ethene. Formulate equations for the following reactions.

 

[2]
b.

Under certain conditions, ethyne can be converted to benzene.

Determine the standard enthalpy change, ΔHΘ, for the reaction stated, using section 11 of the data booklet.

3C2H2(g) → C6H6(g)

[2]
c.i.

Determine the standard enthalpy change, ΔHΘ, for the following similar reaction, using ΔHf values in section 12 of the data booklet.

3C2H2(g) → C6H6(l)

[2]
c.ii.

Explain, giving two reasons, the difference in the values for (c)(i) and (ii). If you did not obtain answers, use −475 kJ for (i) and −600 kJ for (ii).

[2]
c.iii.

Calculate the standard entropy change, ΔSΘ, in J K−1, for the reaction in (ii) using section 12 of the data booklet.

[1]
c.iv.

Determine, showing your working, the spontaneity of the reaction in (ii) at 25 °C.

[3]
c.v.

One possible Lewis structure for benzene is shown.

M18/4/CHEMI/HP2/ENG/TZ1/03.d

State one piece of physical evidence that this structure is incorrect.

[1]
d.



Enthalpy changes depend on the number and type of bonds broken and formed.

Enthalpy changes depend on the number and type of bonds broken and formed.

The table lists the standard enthalpies of formation, Δ H f Θ , for some of the species in the reaction above.

M18/4/CHEMI/SP2/ENG/TZ2/04.b

Hydrogen gas can be formed industrially by the reaction of natural gas with steam.

                                          CH4(g) + H2O(g) → 3H2(g) + CO(g)

Determine the enthalpy change, ΔH, for the reaction, in kJ, using section 11 of the data booklet.

Bond enthalpy for C≡O: 1077 kJ mol−1

[3]
a.

Outline why no value is listed for H2(g).

[1]
b.i.

Determine the value of ΔHΘ, in kJ, for the reaction using the values in the table.

[1]
b.ii.

The table lists standard entropy, SΘ, values.

M18/4/CHEMI/HP2/ENG/TZ2/05.c

Calculate the standard entropy change for the reaction, ΔSΘ, in J K−1.

CH4(g) + H2O(g) → 3H2(g) + CO(g)

[1]
c.

Calculate the standard free energy change, ΔGΘ, in kJ, for the reaction at 298 K using your answer to (b)(ii).

[1]
d.

Determine the temperature, in K, above which the reaction becomes spontaneous.

[1]
e.



Hydrogen and iodine react to form hydrogen iodide.

H2 (g) + I2 (g) 2HI (g)

The following experimental data was obtained.

Consider the reaction of hydrogen with solid iodine.

H2 (g) + I2 (s) 2HI (g)     ΔH = +53.0 kJ mol−1

Deduce the order of reaction with respect to hydrogen.

[1]
a(i).

Deduce the rate expression for the reaction.

[1]
a(ii).

Calculate the value of the rate constant stating its units.

[2]
a(iii).

State two conditions necessary for a successful collision between reactants.

[1]
b.

State the equilibrium constant expression, Kc, for this reaction.

[1]
c.

Calculate the entropy change of reaction, ΔS, in J K−1 mol−1.

[1]
d(i).

Predict, giving a reason, how the value of the ΔSreaction would be affected if I2 (g) were used as a reactant.

[1]
d(ii).

Calculate the Gibbs free energy change, ΔG, in kJ mol−1, for the reaction at 298 K. Use section 1 of the data booklet.

[1]
d(iii).

Calculate the equilibrium constant, Kc, for this reaction at 298 K. Use your answer to (d)(iii) and sections 1 and 2 of the data booklet.

(If you did not obtain an answer to (d)(iii) use a value of 2.0 kJ mol−1, although this is not the correct answer).

[2]
d(iv).



Limestone can be converted into a variety of useful commercial products through the lime cycle. Limestone contains high percentages of calcium carbonate, CaCO3.

Thermodynamic data for the decomposition of calcium carbonate is given.

The second step of the lime cycle produces calcium hydroxide, Ca(OH)2.

Calcium hydroxide reacts with carbon dioxide to reform calcium carbonate.

Ca(OH)2 (aq) + CO2 (g) → CaCO3 (s) + H2O (l)

Calcium carbonate is heated to produce calcium oxide, CaO.

CaCO3 (s) → CaO (s) + CO2 (g)

Calculate the volume of carbon dioxide produced at STP when 555 g of calcium carbonate decomposes. Use sections 2 and 6 of the data booklet.

[2]
a.

Calculate the enthalpy change of reaction, ΔH, in kJ, for the decomposition of calcium carbonate.

[2]
b(i).

Calculate the change in entropy, ΔS, in J K−1, for the decomposition of calcium carbonate.

[1]
b(ii).

Determine the temperature, in K, at which the decomposition of calcium carbonate becomes spontaneous, using b(i), b(ii) and section 1 of the data booklet.

(If you do not have answers for b(i) and b(ii), use ΔH = 190 kJ and ΔS = 180 J K−1, but these are not the correct answers.)

[2]
b(iii).

Sketch an energy profile for the decomposition of calcium carbonate based on your answer to b(i), labelling the axes and activation energy, Ea.

[3]
b(iv).

State how adding a catalyst to the reaction would impact the enthalpy change of reaction, ΔH, and the activation energy, Ea.

[1]
b(v).

Write the equation for the reaction of Ca(OH)2 (aq) with hydrochloric acid, HCl (aq).

[1]
c(i).

Determine the volume, in dm3, of 0.015 mol dm−3 calcium hydroxide solution needed to neutralize 35.0 cm3 of 0.025 mol dm−3 HCl (aq).

[2]
c(ii).

Saturated calcium hydroxide solution is used to test for carbon dioxide. Calculate the pH of a 2.33 × 10−2 mol dm−3 solution of calcium hydroxide, a strong base.

[2]
c(iii).

Determine the mass, in g, of CaCO3 (s) produced by reacting 2.41 dm3 of 2.33 × 10−2 mol dm−3 of Ca(OH)2 (aq) with 0.750 dm3 of CO2 (g) at STP.

[2]
d(i).

2.85 g of CaCO3 was collected in the experiment in d(i). Calculate the percentage yield of CaCO3.

(If you did not obtain an answer to d(i), use 4.00 g, but this is not the correct value.)

[1]
d(ii).

Outline how one calcium compound in the lime cycle can reduce a problem caused by acid deposition.

[1]
e.



Ethanol and methanoic acid are important industrial products.

Ethanol is used as a fuel.

Write the chemical equation for the complete combustion of ethanol.

[1]
a(i).

Deduce the change in enthalpy, ΔH, in kJ, when 56.00 g of ethanol is burned. Use section 13 in the data booklet.

[2]
a(ii).

Oxidation of ethanol with potassium dichromate, K2Cr2O7, can form two different organic products. Determine the names of the organic products and the methods used to isolate them.

[2]
b.

Write the equation and name the organic product when ethanol reacts with methanoic acid.

[2]
c.

Sketch the titration curve of methanoic acid with sodium hydroxide, showing how you would determine methanoic acid pKa.

[2]
d(i).

Identify an indicator that could be used for the titration in 5(d)(i), using section 22 of the data booklet.

[1]
d(ii).

Determine the concentration of methanoic acid in a solution of pH = 4.12. Use section 21 of the data booklet.

[2]
e.

Identify if aqueous solutions of the following salts are acidic, basic, or neutral.

[2]
f.



Copper forms two chlorides, copper(I) chloride and copper(II) chloride.

Two electrolysis cells were assembled using graphite electrodes and connected in series as shown.

 

Copper(I) chloride undergoes a disproportionation reaction, producing copper(II) chloride and copper.

2Cu+ (aq) → Cu (s) + Cu2+ (aq)

Dilute copper(II) chloride solution is light blue, while copper(I) chloride solution is colourless.

State the electron configuration of the Cu+ ion.

[1]
a(i).

Copper(II) chloride is used as a catalyst in the production of chlorine from hydrogen chloride.

4HCl (g) + O2 (g) → 2Cl2 (g) + 2H2O (g)

Calculate the standard enthalpy change, ΔHθ, in kJ, for this reaction, using section 12 of the data booklet.

[2]
a(ii).

The diagram shows the Maxwell–Boltzmann distribution and potential energy profile for the reaction without a catalyst.

Annotate both charts to show the activation energy for the catalysed reaction, using the label Ea (cat).

[2]
a(iii).

Explain how the catalyst increases the rate of the reaction.

[2]
a(iv).

Solid copper(II) chloride absorbs moisture from the atmosphere to form a hydrate of formula CuCl2xH2O.

A student heated a sample of hydrated copper(II) chloride, in order to determine the value of x. The following results were obtained:

Mass of crucible = 16.221 g
Initial mass of crucible and hydrated copper(II) chloride = 18.360 g
Final mass of crucible and anhydrous copper(II) chloride = 17.917 g

Determine the value of x.

[3]
b.

State how current is conducted through the wires and through the electrolyte.

Wires: 

Electrolyte:

[2]
c(i).

Write the half-equation for the formation of gas bubbles at electrode 1.

[1]
c(ii).

Bubbles of gas were also observed at another electrode. Identify the electrode and the gas.

Electrode number (on diagram):

Name of gas: 

[1]
c(iii).

Deduce the half-equation for the formation of the gas identified in (c)(iii).

[1]
c(iv).

Determine the enthalpy of solution of copper(II) chloride, using data from sections 18 and 20 of the data booklet.

The enthalpy of hydration of the copper(II) ion is −2161 kJ mol−1.

[2]
d.

Calculate the cell potential at 298 K for the disproportionation reaction, in V, using section 24 of the data booklet.

[1]
e(i).

Comment on the spontaneity of the disproportionation reaction at 298 K.

[1]
e(ii).

Calculate the standard Gibbs free energy change, ΔGθ, to two significant figures, for the disproportionation at 298 K. Use your answer from (e)(i) and sections 1 and 2 of the data booklet.

[1]
e(iii).

Suggest, giving a reason, whether the entropy of the system increases or decreases during the disproportionation.

[1]
e(iv).

Deduce, giving a reason, the sign of the standard enthalpy change, ΔHθ, for the disproportionation reaction at 298 K.

[1]
e(v).

Predict, giving a reason, the effect of increasing temperature on the stability of copper(I) chloride solution.

[1]
e(vi).

Describe how the blue colour is produced in the Cu(II) solution. Refer to section 17 of the data booklet.

[3]
f(i).

Deduce why the Cu(I) solution is colourless.

[1]
f(ii).

When excess ammonia is added to copper(II) chloride solution, the dark blue complex ion, [Cu(NH3)4(H2O)2]2+, forms.

State the molecular geometry of this complex ion, and the bond angles within it.

 

Molecular geometry:

Bond angles: 

[1]
f(iii).

Examine the relationship between the Brønsted–Lowry and Lewis definitions of a base, referring to the ligands in the complex ion [CuCl4]2−.

[2]
f(iv).



Properties of elements and their compounds can be related to the position of the elements in the periodic table.

Explain the decrease in atomic radius from Na to Cl.

[2]
a.

Explain why the radius of the sodium ion, Na+, is smaller than the radius of the oxide ion, O2−.

[2]
b.

Sketch a graph to show the relative values of the successive ionization energies of boron.

[2]
c.

Predict, giving your reasons, whether Mn2+ or Fe2+ is likely to have a more exothermic enthalpy of hydration.

[2]
d.



This question is about sodium and its compounds.

The Born-Haber cycle for sodium oxide is shown (not to scale).

Sodium peroxide is used in diving apparatus to produce oxygen from carbon dioxide.

2Na2O2 (s) + 2CO2 (g) → 2Na2CO3 (s) + O2 (g)

Plot the relative values of the first four ionization energies of sodium.

 

 

[1]
a.

Outline why the alkali metals (group 1) have similar chemical properties.

[1]
b.

Describe the structure and bonding in solid sodium oxide.

[2]
c.

Calculate values for the following changes using section 8 of the data booklet.


ΔHatomisation (Na) = 107 kJ mol−1
ΔHatomisation (O) = 249 kJ mol−1

1 2 O2(g) O2- (g):

Na (s) → Na+ (g):

 

 

[2]
d(i).

The standard enthalpy of formation of sodium oxide is −414 kJ mol−1. Determine the lattice enthalpy of sodium oxide, in kJ mol−1, using section 8 of the data booklet and your answers to (d)(i).


(If you did not get answers to (d)(i), use +850 kJ mol−1 and +600 kJ mol−1 respectively, but these are not the correct answers.)

[2]
d(ii).

Justify why K2O has a lower lattice enthalpy (absolute value) than Na2O.

[1]
d(iii).

Write equations for the separate reactions of solid sodium oxide and solid phosphorus(V) oxide with excess water and differentiate between the solutions formed.

Sodium oxide, Na2O:

Phosphorus(V) oxide, P4O10:

Differentiation:

 

 

[3]
e.

Sodium peroxide, Na2O2, is formed by the reaction of sodium oxide with oxygen.

2Na2O (s) + O2 (g) → 2Na2O2 (s)

Calculate the percentage yield of sodium peroxide if 5.00g of sodium oxide produces 5.50g of sodium peroxide.

[2]
f.

Determine the enthalpy change, ΔH, in kJ, for this reaction using data from the table and section 12 of the data booklet.

[3]
g(i).

Outline why bond enthalpy values are not valid in calculations such as that in (g)(i).

[1]
g(ii).

An allotrope of molecular oxygen is ozone. Compare, giving a reason, the bond enthalpies of the O to O bonds in O2 and O3.

[1]
h.

Outline why a real gas differs from ideal behaviour at low temperature and high pressure.

[1]
i.

The reaction of sodium peroxide with excess water produces hydrogen peroxide and one other sodium compound. Suggest the formula of this compound.

[1]
j.

State the oxidation number of carbon in sodium carbonate, Na2CO3.

[1]
k.



White phosphorus is an allotrope of phosphorus and exists as P4.

An equilibrium exists between PCl3 and PCl5.

PCl3 (g) + Cl2 (g) PCl5 (g)

Sketch the Lewis (electron dot) structure of the P4 molecule, containing only single bonds.

 

[1]
a(i).

Write an equation for the reaction of white phosphorus (P4) with chlorine gas to form phosphorus trichloride (PCl3).

[1]
a(ii).

Deduce the electron domain and molecular geometry using VSEPR theory, and estimate the Cl–P–Cl bond angle in PCl3.

[3]
b(i).

Outline the reason why PCl5 is a non-polar molecule, while PCl4F is polar.

[3]
b(ii).

Calculate the standard enthalpy change (ΔH) for the forward reaction in kJ mol−1.

ΔHf PCl3 (g) = −306.4 kJ mol−1

ΔHf PCl5 (g) = −398.9 kJ mol−1

[1]
c(i).

Calculate the entropy change, ΔS, in J K−1 mol−1, for this reaction.

 

Chemistry 2e, Chpt. 21 Nuclear Chemistry, Appendix G: Standard Thermodynamic Properties for Selected Substances https://openstax.org/books/chemistry-2e/pages/g-standard-thermodynamic-properties-for- selectedsubstances# page_667adccf-f900-4d86-a13d-409c014086ea © 1999-2021, Rice University. Except where otherwise noted, textbooks on this site are licensed under a Creative Commons Attribution 4.0 International License. (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/.

[1]
c(ii).

Calculate the Gibbs free energy change (ΔG), in kJ mol−1, for this reaction at 25 °C. Use section 1 of the data booklet.

If you did not obtain an answer in c(i) or c(ii) use −87.6 kJ mol−1 and −150.5 J mol−1 K−1 respectively, but these are not the correct answers.

[2]
c(iii).

Determine the equilibrium constant, K, for this reaction at 25 °C, referring to section 1 of the data booklet.

If you did not obtain an answer in (c)(iii), use ΔG = –43.5 kJ mol−1, but this is not the correct answer.

[2]
c(iv).

State the equilibrium constant expression, Kc, for this reaction.

[1]
c(v).

State, with a reason, the effect of an increase in temperature on the position of this equilibrium.

[1]
c(vi).



A molecule of citric acid, C6H8O7, is shown.

The equation for the first dissociation of citric acid in water is

C6H8O7 (aq) + H2O (l) C6H7O7 (aq) + H3O+ (aq)

Identify a conjugate acid–base pair in the equation.

[1]
a(i).

The value of Ka at 298 K for the first dissociation is 5.01 × 10−4.

State, giving a reason, the strength of citric acid.

[1]
a(ii).

The dissociation of citric acid is an endothermic process. State the effect on the hydrogen ion concentration, [H+], and on Ka, of increasing the temperature.

[2]
a(iii).

Calculate the standard Gibbs free energy change, ΔGθ, in kJ mol−1, for the first dissociation of citric acid at 298 K, using section 1 of the data booklet.

[1]
a(iv).

Comment on the spontaneity of the reaction at 298 K.

[1]
a(v).

Outline two laboratory methods of distinguishing between solutions of citric acid and hydrochloric acid of equal concentration, stating the expected observations.

[2]
b.



The thermal decomposition of dinitrogen monoxide occurs according to the equation:

2N2O (g) → 2N2 (g) + O2 (g)

The reaction can be followed by measuring the change in total pressure, at constant temperature, with time.

The x-axis and y-axis are shown with arbitrary units.

This decomposition obeys the rate expression:

d [ N 2 O] d t = k[N2O]

Explain why, as the reaction proceeds, the pressure increases by the amount shown.

[2]
a.

Outline, in terms of collision theory, how a decrease in pressure would affect the rate of reaction.

[2]
b.

Deduce how the rate of reaction at t = 2 would compare to the initial rate.

[1]
c(i).

It has been suggested that the reaction occurs as a two-step process:

Step 1: N2O (g) → N2 (g) + O (g)

Step 2: N2O (g) + O (g) → N2 (g) + O2 (g)

Explain how this could support the observed rate expression.

[2]
c(ii).

The experiment is repeated using the same amount of dinitrogen monoxide in the same apparatus, but at a lower temperature.

Sketch, on the axes in question 2, the graph that you would expect.

[2]
d.

The experiment gave an error in the rate because the pressure gauge was inaccurate.

Outline whether repeating the experiment, using the same apparatus, and averaging the results would reduce the error.

[1]
e.

The graph below shows the Maxwell–Boltzmann distribution of molecular energies at a particular temperature.

The rate at which dinitrogen monoxide decomposes is significantly increased by a metal oxide catalyst.

Annotate and use the graph to outline why a catalyst has this effect.

[2]
f.

Determine the standard entropy change, in J K−1, for the decomposition of dinitrogen monoxide.

2N2O (g) → 2N2 (g) + O2 (g)

[2]
g(i).

Dinitrogen monoxide has a positive standard enthalpy of formation, ΔHfθ.

Deduce, giving reasons, whether altering the temperature would change the spontaneity of the decomposition reaction.

[3]
g(ii).



This reaction is used in the manufacture of sulfuric acid.

2SO2 (g) + O2 (g) 2SO3 (g)        Kc = 280 at 1000 K

State why this equilibrium reaction is considered homogeneous.

[1]
a.

Predict, giving your reason, the sign of the standard entropy change of the forward reaction.

[1]
b.

Calculate the standard Gibbs free energy change, ΔGΘ, in kJ, for this reaction at 1000 K. Use sections 1 and 2 of the data booklet.

[2]
c.

Predict, giving your reasons, whether the forward reaction is endothermic or exothermic. Use your answers to (b) and (c).

[2]
d.

0.200 mol sulfur dioxide, 0.300 mol oxygen and 0.500 mol sulfur trioxide were mixed in a 1.00 dm3 flask at 1000 K.

Predict the direction of the reaction showing your working.

[3]
e.



Hydrogen peroxide can react with methane and oxygen to form methanol. This reaction can occur below 50°C if a gold nanoparticle catalyst is used.

Now consider the second stage of the reaction.

CO (g) + 2H2 (g) CH3OH (l)          ΔH = –129 kJ

Hydrogen peroxide can react with methane and oxygen to form methanol. This reaction can occur below 50°C if a gold nanoparticle catalyst is used.

Methanol is usually manufactured from methane in a two-stage process.

CH4 (g) + H2O (g) CO (g) + 3H2 (g)
CO (g) + 2H2 (g) CH3OH (l)

Consider the first stage of the reaction.

CH4 (g) + H2O (g) CO (g) + 3H2 (g)

The diagram shows the Maxwell-Boltzmann curve for the uncatalyzed reaction.

Draw a distribution curve at a lower temperature (T2) and show on the diagram how the addition of a catalyst enables the reaction to take place more rapidly than at T1.

[2]
a.

The hydrogen peroxide could cause further oxidation of the methanol. Suggest a possible oxidation product.

[1]
b.

Determine the overall equation for the production of methanol.

[1]
c(i).

8.00 g of methane is completely converted to methanol. Calculate, to three significant figures, the final volume of hydrogen at STP, in dm3. Use sections 2 and 6 of the data booklet.

[3]
c(ii).

Determine the enthalpy change, ΔH, in kJ. Use section 11 of the data booklet.

Bond enthalpy of CO = 1077 kJ mol−1.

[3]
d(i).

State one reason why you would expect the value of ΔH calculated from the Hf values, given in section 12 of data booklet, to differ from your answer to (d)(i).

[1]
d(ii).

State the expression for Kc for this stage of the reaction.

[1]
d(iii).

State and explain the effect of increasing temperature on the value of Kc.

[1]
d(iv).

The equilibrium constant, Kc, has a value of 1.01 at 298 K.

Calculate ΔG, in kJ mol–1, for this reaction. Use sections 1 and 2 of the data booklet.

[2]
e(i).

Calculate a value for the entropy change, ΔS, in J K–1 mol–1 at 298 K. Use your answers to (e)(i) and section 1 of the data booklet.

If you did not get answers to (e)(i) use –1 kJ, but this is not the correct answer.

[2]
e(ii).

Justify the sign of ΔS with reference to the equation.

[1]
e(iii).

Predict, giving a reason, how a change in temperature from 298 K to 273 K would affect the spontaneity of the reaction.

[1]
e(iv).



Ammonia is produced by the Haber–Bosch process which involves the equilibrium:

N2 (g) + 3 H2 (g) 2 NH3 (g)

The percentage of ammonia at equilibrium under various conditions is shown:

[The Haber Bosch Process [graph] Available at: https://commons.wikimedia.org/wiki/File:Ammonia_yield.png
[Accessed: 16/07/2022].]

One factor affecting the position of equilibrium is the enthalpy change of the reaction.

The standard free energy change, ΔG, for the Haber–Bosch process is –33.0 kJ at 298 K.

Deduce the expression for the equilibrium constant, Kc, for this equation.

[1]
a(i).

State how the use of a catalyst affects the position of the equilibrium.

[1]
a(ii).

With reference to the reaction quotient, Q, explain why the percentage yield increases as the pressure is increased at constant temperature.

[3]
a(iii).

Determine the enthalpy change, ΔH, for the Haber–Bosch process, in kJ. Use Section 11 of the data booklet.

[3]
b(i).

Outline why the value obtained in (b)(i) might differ from a value calculated using ΔHf data.

[1]
b(ii).

Demonstrate that your answer to (b)(i) is consistent with the effect of an increase in temperature on the percentage yield, as shown in the graph.

[2]
b(iii).

State, giving a reason, whether the reaction is spontaneous or not at 298 K.

[1]
c(i).

Calculate the value of the equilibrium constant, K, at 298 K. Use sections 1 and 2 of the data booklet.

[2]
c(ii).

Calculate the entropy change for the Haber–Bosch process, in J mol–1 K–1 at 298 K. Use your answer to (b)(i) and section 1 of the data booklet.

[2]
c(iii).

Outline, with reference to the reaction equation, why this sign for the entropy change is expected.

[1]
c(iv).



Ethane-1,2-diol, HOCH2CH2OH, has a wide variety of uses including the removal of ice from aircraft and heat transfer in a solar cell.

(i) Calculate ΔHθ, in kJ, for this similar reaction below using Δ H f θ data from section 12 of the data booklet. Δ H f θ of HOCH2CH2OH(l) is –454.8kJmol-1.

2CO (g) + 3H2 (g)   HOCH2CH2OH (l)

(ii) Deduce why the answers to (a)(iii) and (b)(i) differ.

(iii) ΔSθ for the reaction in (b)(i) is –620.1JK-1. Comment on the decrease in entropy.

(iv) Calculate the value of ΔGθ, in kJ, for this reaction at 298 K using your answer to (b)(i). (If you did not obtain an answer to (b)(i), use –244.0 kJ, but this is not the correct value.)

(v) Comment on the statement that the reaction becomes less spontaneous as temperature is increased.

[6]
b.

Predict the 1HNMR data for ethanedioic acid and ethane-1,2-diol by completing the table.

[2]
f.