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Topic 17 - Equilibrium (HL)

Question 1

HLPaper 2

Consider the following equilibrium reaction:

2SO2 (g) + O2 (g) ⇌ 2SO3 (g)

1.

State the equilibrium constant expression, _K_c, for the reaction above.

[1]
2.

State and explain how the equilibrium would be affected by increasing the volume of the reaction container at a constant temperature.

[3]
3.

SO2 (g), O2 (g) and SO3 (g) are mixed and allowed to reach equilibrium at 600 °C.

Determine the value of _K_c at 600 °C.

[2]

Question 2

HLPaper 1

At 700 ºC, the equilibrium constant, _K_c, for the reaction is 1.075 × 108.

2H2 (g) + S2 (g) ⇌ 2H2S (g)

Which relationship is always correct for the equilibrium at this temperature?

Question 3

HLPaper 2

Urea, (H2N)2CO, is excreted by mammals and can be used as a fertilizer.

Urea can also be made by the direct combination of ammonia and carbon dioxide gases.

2NH3(g) + CO2(g) ⇌ (H2N)2CO(g) + H2O(g) Δ_H_ < 0

1.

Calculate the percentage by mass of nitrogen in urea to two decimal places using section 6 of the data booklet.

[2]
2.

Suggest how the percentage of nitrogen affects the cost of transport of fertilizers giving a reason.

[1]
3.

The structural formula of urea is shown.

M18/4/CHEMI/HP2/ENG/TZ1/01.b_01

Predict the electron domain and molecular geometries at the nitrogen and carbon atoms, applying the VSEPR theory.

M18/4/CHEMI/HP2/ENG/TZ1/01.b_02

[3]
4.

Urea can be made by reacting potassium cyanate, KNCO, with ammonium chloride, NH4Cl.

KNCO(aq) + NH4Cl(aq) → (H2N)2CO(aq) + KCl(aq)

Determine the maximum mass of urea that could be formed from 50.0 cm3 of 0.100 mol dm−3 potassium cyanate solution.

[2]
5.

State the equilibrium constant expression, _K_c.

[1]
6.

Predict, with a reason, the effect on the equilibrium constant, _K_c, when the temperature is increased.

[1]
7.

Determine an approximate order of magnitude for _K_c, using sections 1 and 2 of the data booklet. Assume Δ_G_Θfor the forward reaction is approximately +50 kJ at 298 K.

[2]
8.

Suggest one reason why urea is a solid and ammonia a gas at room temperature.

[1]
9.

Sketch two different hydrogen bonding interactions between ammonia and water.

[2]
10.

The combustion of urea produces water, carbon dioxide and nitrogen.

Formulate a balanced equation for the reaction.

[2]
11.

Calculate the maximum volume of CO2, in cm3, produced at STP by the combustion of 0.600 g of urea, using sections 2 and 6 of the data booklet.

[1]
12.

Describe the bond formation when urea acts as a ligand in a transition metal complex ion.

[2]
13.

The C–N bonds in urea are shorter than might be expected for a single C–N bond. Suggest, in terms of electrons, how this could occur.

[1]
14.

The mass spectrum of urea is shown below.

M18/4/CHEMI/HP2/ENG/TZ1/01.j_01

Identify the species responsible for the peaks at m/z = 60 and 44.

[2]
15.

The IR spectrum of urea is shown below.

M18/4/CHEMI/HP2/ENG/TZ1/01.k_01

Identify the bonds causing the absorptions at 3450 cm−1 and 1700 cm−1 using section 26 of the data booklet.

[2]
16.

Predict the number of signals in the 1H NMR spectrum of urea.

[1]
17.

Predict the splitting pattern of the 1H NMR spectrum of urea.

[1]
18.

Outline why TMS (tetramethylsilane) may be added to the sample to carry out 1H NMR spectroscopy and why it is particularly suited to this role.

[2]

Question 4

HLPaper 2

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

An equilibrium exists between PCl3 and PCl5.

PCl3 (g) + Cl2 (g) ⇌ PCl5 (g)

1.

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

a(i).

[1]
2.

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

a(ii).

[1]
3.

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

b(i).

[3]
4.

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

b(ii).

[3]
5.

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

Δ_H_⦵f PCl3 (g) = −306.4 kJ mol−1

Δ_H_⦵f PCl5 (g) = −398.9 kJ mol−1

c(i).

[1]
6.

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

Chemistry 2e, Chpt. 21 Nuclear Chemistry, Appendix G: Standard Thermodynamic Properties for SelectedSubstanceshttps://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/.

c(ii).

[1]
7.

Calculate the Gibbs free energy change (Δ_G_), 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.

c(iii).

[2]
8.

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 Δ_G_ = –43.5 kJ mol−1, but this is not the correct answer.

c(iv).

[2]
9.

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

c(v).

[1]
10.

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

c(vi).

[1]

Question 5

HLPaper 2

This question is about iron.

1.

Deduce the full electron configuration of Fe2+.

[1]
2.

Explain why, when ligands bond to the iron ion causing the d-orbitals to split, the complex is coloured.

[2]
3.

State the nuclear symbol notation, Z A X , for iron-54.

[1]
4.

Mass spectrometry analysis of a sample of iron gave the following results:

Calculate the relative atomic mass, Ar, of this sample of iron to two decimal places.

[2]
5.

An iron nail and a copper nail are inserted into a lemon.

Explain why a potential is detected when the nails are connected through a voltmeter.

[2]
6.

Calculate the standard electrode potential, in V, when the Fe2+ (aq) | Fe (s) and Cu2+ (aq) | Cu (s) standard half-cells are connected at 298 K. Use section 24 of the data booklet.

f(i).

[1]
7.

Calculate ΔGθ, in kJ, for the spontaneous reaction in (f)(i), using sections 1 and 2 of the data booklet.

f(ii).

[1]
8.

Calculate a value for the equilibrium constant, Kc, at 298 K, giving your answer to two significant figures. Use your answer to (f)(ii) and section 1 of the data booklet.

(If you did not obtain an answer to (f)(ii), use −140 kJ mol−1, but this is not the correct value.)

f(iii).

[2]

Question 6

HLPaper 1

Components X and Y are mixed together and allowed to reach equilibrium. The concentrations of X, Y, W and Z in the equilibrium mixture are 4, 1, 4 and 2 mol d m − 3 respectively.

X + 2Y ⇌ 2W + Z

What is the value of the equilibrium constant, _K_c?

Question 7

HLPaper 2

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) Δ_H_⦵= +53.0 kJ mol−1

1.

Deduce the order of reaction with respect to hydrogen.

a(i).

[1]
2.

Deduce the rate expression for the reaction.

a(ii).

[1]
3.

Calculate the value of the rate constant stating its units.

a(iii).

[2]
4.

State two conditions necessary for a successful collision between reactants.

[1]
5.

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

[1]
6.

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

d(i).

[1]
7.

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

d(ii).

[1]
8.

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

d(iii).

[1]
9.

Calculate the equilibrium constant, _K_c, 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).

d(iv).

[2]

Question 8

HLPaper 1

Which is correct for a reaction with a positive change in Gibbs free energy, ΔGθ?

Question 9

HLPaper 2

A mixture of 1.00 mol SO2(g), 2.00 mol O2(g) and 1.00 mol SO3(g) is placed in a 1.00 dm3container and allowed to reach equilibrium.

2SO2(g) + O2(g) ⇌2SO3(g)

1.

Nitrogen oxide is in equilibrium with dinitrogen dioxide.

2NO(g) ⇌N2O2(g) Δ_H_Θ< 0

Deduce, giving a reason, the effect of increasing the temperature on theconcentration of N2O2.

[1]
2.

A two-step mechanism is proposed for the formation of NO2(g) from NO(g) thatinvolves an exothermic equilibrium process.

First step: 2NO(g) ⇌N2O2(g) fast

Second step: N2O2(g) + O2 (g) → 2NO2(g) slow

Deduce the rate expression for the mechanism.

[2]
3.

The rate constant for a reaction doubles when the temperature is increased from25.0 °C to 35 °C.

Calculate the activation energy, _E_a, in kJ mol−1 for the reaction using section 1 and 2 ofthe data booklet.

[2]

Question 10

HLPaper 2

Many reactions are in a state of equilibrium.

The following reaction was allowed to reach equilibrium at 761 K.

H2(g) + I2(g) ⇌ 2HI (g) Δ_H_θ< 0

The pH of 0.010 mol dm–3 carbonic acid, H2CO3 (aq), is 4.17 at 25 °C.

H2CO3 (aq) + H2O (l) ⇌ HCO3– (aq) + H3O+ (aq).

1.

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

[1]
2.

The following equilibrium concentrations in mol dm–3 were obtained at 761 K.

Calculate the value of the equilibrium constant at 761 K.

[1]
3.

Determine the value of Δ_G_θ, in kJ, for the above reaction at 761 K using section 1of the data booklet.

[1]
4.

Calculate [H3O+] in the solution and the dissociation constant, _K_a , of the acid at25 °C.

[3]
5.

Calculate _K_b for HCO3– acting as a base.

[1]
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