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Edexcel GCSE Chemistry

Topic questions Chemical changes Reactions of acids

Reactions of acids

16 questions · 165 marks · about 3 hours

Reactions of acids questions

Edexcel 1CH0 Reactions of acids 16 questions

Paper 1 June 2024 Foundation tier, Question 9 13 marks

Sodium carbonate has the formula Na2CO3.

(a)

Sodium carbonate contains Na+ ions and CO32– ions.

(a)(i)

The atomic number of sodium is 11.

What is the electronic configuration of the Na+ ion?

Question 9, shown as an image
[1]
Reveal mark scheme Mark scheme for question 9(a)(i)
(a)(ii)

Explain why solid sodium carbonate cannot conduct electricity but a solution of sodium carbonate can conduct electricity.

[3]
Reveal mark scheme Mark scheme for question 9(a)(ii)
(b)

Calculate the percentage by mass of sodium in sodium carbonate, Na2CO3.

Question 9, shown as an image

(relative atomic masses: C = 12, O = 16, Na = 23)

percentage by mass of sodium =........

[3]
Reveal mark scheme Mark scheme for question 9(b)
(c)

*(c) A student has three solids, A, B and C.

The solids are sodium carbonate, powdered zinc and copper oxide, but the student does not know which solid is which.

The student reacted each solid with dilute sulfuric acid.

Figure 15 shows the student’s observations and the results of tests on any gases produced.

Figure for question 9

Use the observations and results in Figure 15 to identify which solid is which.

Your answer should include

• how each test result helps you to identify the solid

• word equations to support your answer.

[6]
Reveal mark scheme Mark scheme for question 9(c)

Paper 1 June 2024 Higher tier, Question 2 9 marks

Also involves Conservation of mass and balanced equations

Barium hydroxide reacts with dilute hydrochloric acid to form barium chloride solution and water.

(a)
(a)(i)

Complete the balanced equation for the reaction by adding a number in front of HC l (aq).

Question 2, shown as an image
[1]
Reveal mark scheme Mark scheme for question 2(a)(i)
(a)(ii)

State what you would see during the reaction.

[1]
Reveal mark scheme Mark scheme for question 2(a)(ii)
(b)

A student investigated how the pH of the mixture changed as barium hydroxide was added to dilute hydrochloric acid.

The student used this method.

step 1 maths symbol measure out 50 cm33 of dilute hydrochloric acid into a beaker using a measuring cylinder

step 2 maths symbol use a glass rod to place a drop of the acid onto a piece of universal indicator paper and record the pH

step 3 maths symbol add one spatula measure of barium hydroxide to the acid in the beaker and stir

step 4 maths symbol use the glass rod to place a drop of the mixture onto a new piece of universal indicator paper and record the pH again

step 5 maths symbol repeat steps 3 and 4 until there is no further change in the pH.

(b)(i)

Name a piece of equipment that could be used to measure the pH of a substance more accurately than universal indicator paper.

[1]
Reveal mark scheme Mark scheme for question 2(b)(i)
(b)(ii)

Explain why, in step 3, the mixture was stirred after adding the barium hydroxide.

[2]
Reveal mark scheme Mark scheme for question 2(b)(ii)
(b)(iii)

Figure 3 shows the student’s results.

Figure for question 2

Plot a graph of the pH of the mixture against the number of spatula measures of barium hydroxide.

Figure for question 2
[3]
Reveal mark scheme Mark scheme for question 2(b)(iii)
(b)(iv)

Use the graph to find the pH of the mixture when 4.5 spatula measures of barium hydroxide are added.

Question 2, shown as an image
[1]
Reveal mark scheme Mark scheme for question 2(b)(iv)

Paper 1 June 2024 Higher tier, Question 6 10 marks

Titration can be used to find the volume of dilute hydrochloric acid needed to neutralise 25.0 cm3 of barium hydroxide solution.

(a)

Before the titration is carried out, the pipette and conical flask are rinsed out with pure water.

Explain the effect, if any, that traces of water in the pipette and conical flask after rinsing could have on the titration result.

pipette

[4]
Reveal mark scheme Mark scheme for question 6(a)
(b)

conical flask

In the titration, a few drops of phenolphthalein indicator are added to the barium hydroxide solution.

(b)(i)

State the change in colour of phenolphthalein at the end point, when the barium hydroxide solution has just been neutralised.

[1]
Reveal mark scheme Mark scheme for question 6(b)(i)
(b)(ii)

Write the ionic equation for the neutralisation reaction that occurs when hydrochloric acid is added to barium hydroxide solution.

[2]
Reveal mark scheme Mark scheme for question 6(b)(ii)
(c)

When barium hydroxide solution is neutralised by dilute sulfuric acid, a white precipitate of barium sulfate is formed in the conical flask.

Describe an experiment to obtain a sample of pure, dry barium sulfate from the contents of the conical flask.

[3]
Reveal mark scheme Mark scheme for question 6(c)

Paper 1 June 2023 Foundation tier, Question 8 11 marks

Also involves Hazard symbols and risk assessment

In an experiment, powdered calcium hydroxide was added to dilute hydrochloric acid and the pH was measured.

The method used was

step 1maths symbol measure 200 cm33 dilute hydrochloric acid into a beaker

step 2 maths symbol aadd 0.1 g of powdered calcium hydroxide to the beaker

step 3 maths symbol find the pH of the mixture

step 4 maths symbol repeat steps 2 and 3 until the pH stops changing.

(a)

State what should be done after step 2 to make sure that any reaction is complete.

[1]
Reveal mark scheme Mark scheme for question 8(a)
(b)

Complete the word equation for the reaction.

calcium hydroxide + hydrochloric acid maths symbol........

[2]
Reveal mark scheme Mark scheme for question 8(b)
(c)

Which row of the table shows the state symbols for powdered calcium hydroxide and dilute hydrochloric acid in the balanced chemical equation?

Figure for question 8
[1]
Reveal mark scheme Mark scheme for question 8(c)
(d)

The results of the experiment are shown in Figure 12.

Figure for question 8

mass of calcium hydroxide added in grams

Figure 12

(d)(i)

Using Figure 12, give the pH of the acid at the start of the experiment.

[1]
Reveal mark scheme Mark scheme for question 8(d)(i)
(d)(ii)

Using Figure 12, give the mass of calcium hydroxide required to make a neutral mixture.

[1]
Reveal mark scheme Mark scheme for question 8(d)(ii)
(d)(iii)

Explain why the pH starts at a low value and ends at a higher value.

[3]
Reveal mark scheme Mark scheme for question 8(d)(iii)
(e)

State what should be used to measure the pH of the mixture in this experiment.

[1]
Reveal mark scheme Mark scheme for question 8(e)
(f)

The calcium hydroxide used is corrosive to the eyes and an irritant to skin.

Using this information, state one safety precaution that should be taken during the experiment when using any corrosive substance.

[1]
Reveal mark scheme Mark scheme for question 8(f)

Paper 1 June 2022 Foundation tier, Question 4 10 marks

A student wanted to find the volume of dilute hydrochloric acid that would react with 25.0 cm3 of lithium hydroxide solution.

They used the equipment in Figure 7 to carry out a rough titration and then a further two accurate titrations.

Figure for question 4
(a)

Suggest why the student carried out a rough titration before the two accurate titrations.

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Figure 8 shows the results of the rough titration.

Figure for question 4

What was the volume of acid added in the rough titration?

[1]
Reveal mark scheme Mark scheme for question 4(b)
(c)

Describe how the rough titration should be carried out once the dilute hydrochloric acid, lithium hydroxide solution and indicator are placed in the apparatus in Figure 7.

[4]
Reveal mark scheme Mark scheme for question 4(c)
(d)

Which is the name of an indicator that is suitable to use in this titration?

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(d)
(e)

During the titration the dilute hydrochloric acid, HC l, is reacting with the lithium hydroxide solution, LiOH.

Explain what type of reaction is taking place in the titration.

[3]
Reveal mark scheme Mark scheme for question 4(e)

Paper 1 June 2022 Foundation tier, Question 9 13 marks

Magnesium carbonate has the formula MgCO3.

(a)

Magnesium carbonate contains Mg2+ and CO32− ions.

(a)(i)

The atomic number of magnesium is 12.

What is the electronic configuration of the Mg2+ ion?

Question 9, shown as an image
[1]
Reveal mark scheme Mark scheme for question 9(a)(i)
(a)(ii)

Explain why solid magnesium carbonate cannot conduct electricity but solid magnesium can.

[3]
Reveal mark scheme Mark scheme for question 9(a)(ii)
(b)

Calculate the percentage by mass of magnesium in magnesium carbonate, MgCO3.

(relative atomic masses: C = 12.0, O = 16.0, Mg = 24.0)

[3]
Reveal mark scheme Mark scheme for question 9(b)
(c)

*(c) A student has two separate test tubes containing sulfuric acid.

The student adds a spatula measure of magnesium carbonate, MgCO3, to the first test tube and a piece of magnesium to the second test tube.

Explain what the student would see in each test tube and the tests that they should carry out to identify the gases produced.

Your answer should include word equations for the reactions that would take place.

[6]
Reveal mark scheme Mark scheme for question 9(c)

Paper 1 June 2022 Higher tier, Question 3 8 marks

Magnesium carbonate has the formula MgCO3.

(a)

Magnesium carbonate contains Mg2+ and CO32− ions.

(a)(i)

The atomic number of magnesium is 12.

What is the electronic configuration of the Mg2+ ion?

Question 3, shown as an image
[1]
Reveal mark scheme Mark scheme for question 3(a)(i)
(a)(ii)

Explain why solid magnesium carbonate cannot conduct electricity but solid magnesium can.

[3]
Reveal mark scheme Mark scheme for question 3(a)(ii)
(b)

Calculate the percentage by mass of magnesium in magnesium carbonate, MgCO3.

(relative atomic masses: C = 12.0, O = 16.0, Mg = 24.0)

percentage by mass of magnesium =........

[3]
Reveal mark scheme Mark scheme for question 3(b)
(c)

Magnesium carbonate reacts with dilute hydrochloric acid. Water and carbon dioxide are two of the products of the reaction.

Complete the balanced equation for this reaction.

Question 3, shown as an image
[1]
Reveal mark scheme Mark scheme for question 3(c)

Paper 1 November 2021 Foundation tier, Question 8 11 marks

Also involves Conservation of mass and balanced equations

The scientist John Dalton lived over 200 years ago.

(a)

John Dalton suggested an early model of atoms.

When Dalton first described atoms he said that

• all elements are made of atoms

• atoms are not formed of any smaller particles

• all atoms of the same element are identical.

Give two differences between Dalton’s model of atoms and today’s model of atoms.

[2]
Reveal mark scheme Mark scheme for question 8(a)
(b)

Dalton also investigated different gases.

One of the gases that Dalton investigated was ethene.

The structure of one molecule of ethene is shown in Figure 8.

Figure for question 8

Give the molecular formula and the empirical formula of ethene.

Question 8, shown as an image
[2]
Reveal mark scheme Mark scheme for question 8(b)
(c)

Another gas that Dalton investigated was chlorine.

Chlorine gas reacts with water. The two products are a solution of hydrogen chloride and the substance HC l O.

(c)(i)

Complete the balanced equation for this reaction, including the three missing state symbols.

Question 8, shown as an image
[3]
Reveal mark scheme Mark scheme for question 8(c)(i)
(c)(ii)

Hydrogen chloride solution is acidic.

The formulae of four ions are shown in Figure 9.

Figure for question 8

Give the formula of the ion in Figure 9 that causes the hydrogen chloride solution to be acidic.

[1]
Reveal mark scheme Mark scheme for question 8(c)(ii)
(c)(iii)

An acid reacts with an alkali.

Give the name of this type of reaction.

[1]
Reveal mark scheme Mark scheme for question 8(c)(iii)
(c)(iv)

Describe what you would see when some copper carbonate powder is added to a beaker of dilute sulfuric acid.

[2]
Reveal mark scheme Mark scheme for question 8(c)(iv)

Paper 1 November 2021 Higher tier, Question 2 9 marks

Also involves Conservation of mass and balanced equations

The scientist John Dalton lived over 200 years ago.

(a)

John Dalton suggested an early model of atoms.

When Dalton first described atoms he said that

• all elements are made of atoms

• atoms are not formed of any smaller particles

• all atoms of the same element are identical.

Give two differences between Dalton’s model of atoms and today’s model of atoms.

[2]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Dalton also investigated different gases.

One of the gases that Dalton investigated was ethene.

The structure of one molecule of ethene is shown in Figure 2.

Figure for question 2

Give the molecular formula and the empirical formula of ethene.

Question 2, shown as an image
[2]
Reveal mark scheme Mark scheme for question 2(b)
(c)

Another gas that Dalton investigated was chlorine.

Chlorine gas reacts with water. The two products are a solution of hydrogen chloride and the substance HC l O.

(c)(i)

Complete the balanced equation for this reaction, including the three missing state symbols.

Question 2, shown as an image
[3]
Reveal mark scheme Mark scheme for question 2(c)(i)
(c)(ii)

Hydrogen chloride solution is acidic.

The formulae of four ions are shown in Figure 3.

Figure for question 2

Give the formula of the ion in Figure 3 that causes the hydrogen chloride solution to be acidic.

[1]
Reveal mark scheme Mark scheme for question 2(c)(ii)
(c)(iii)

An acid reacts with an alkali.

Give the name of this type of reaction.

[1]
Reveal mark scheme Mark scheme for question 2(c)(iii)

Paper 1 November 2021 Higher tier, Question 6 9 marks

Also involves Amounts of substance in equations

(a)

Copper carbonate reacts with dilute nitric acid.

(a)(i)

During the reaction the copper carbonate powder completely disappears.

State what can be deduced about the amount of acid used.

[1]
Reveal mark scheme Mark scheme for question 6(a)(i)
(a)(ii)

During the reaction, the pH of the mixture changed from 2 to 6.

By what factor has the concentration of the hydrogen ions in the mixture changed?

Question 6, shown as an image
Question 6, shown as an image
[1]
Reveal mark scheme Mark scheme for question 6(a)(ii)
(b)

Using different reactants, a solution of copper sulfate was prepared.

Describe what should be done to obtain copper sulfate crystals from this copper sulfate solution.

[2]
Reveal mark scheme Mark scheme for question 6(b)
(c)

When chloride ions are added to a pale blue solution containing copper ions, the mixture turns yellow.

This is a reversible reaction.

pale blue solution + chloride ions maths symbolmaths symbol yellow solution + water

What effect does the removal of chloride ions have on the colour of the yellow mixture?

Question 6, shown as an image
[1]
Reveal mark scheme Mark scheme for question 6(c)
(d)

Hydrated copper sulfate has the formula CuSO4.5H2O. The formula tells us that each mole of copper sulfate contains 5 moles of water.

A sample of CuSO4.5H2O was heated gently until all the water was removed to form anhydrous copper sulfate, CuSO4.

Question 6, shown as an image

The mass of water formed was 4.5 g.

Calculate the mass of hydrated copper sulfate that was heated.

(relative atomic masses: H = 1.0, O = 16.0; relative formula mass: CuSO4.5H2O = 249.5)

mass of CuSO4.5H2O =........

[4]
Reveal mark scheme Mark scheme for question 6(d)

Paper 1 November 2020 Foundation tier, Question 1 7 marks

Also involves Mixtures and separation techniques · Hazard symbols and risk assessment

(a)

When solid sodium chloride is mixed with water, sodium chloride solution forms.

What name is given to the process of mixing a solid with water to form a solution?

Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Sodium reacts with hydrochloric acid to form sodium chloride and hydrogen.

(b)(i)

Write the word equation for this reaction.

[2]
Reveal mark scheme Mark scheme for question 1(b)(i)
(b)(ii)

The hazard symbol shown in Figure 1 is used on containers of sodium.

Figure for question 1

What is the meaning of this hazard symbol?

Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(b)(ii)
(b)(iii)

Hydrogen has one electron in its electron shell. Figure 2 shows the incomplete dot and cross diagram of a hydrogen molecule.

Complete Figure 2 to show the electrons in the covalent bond between the two atoms of hydrogen.

Figure for question 1
[1]
Reveal mark scheme Mark scheme for question 1(b)(iii)
(c)

The pH of a sodium chloride solution was measured.

(c)(i)

State what could be used to measure the pH of a solution.

[1]
Reveal mark scheme Mark scheme for question 1(c)(i)
(c)(ii)

Sodium chloride solution is neutral.

Give the pH of this solution.

[1]
Reveal mark scheme Mark scheme for question 1(c)(ii)

Paper 1 November 2020 Foundation tier, Question 4 10 marks

(a)

In the 19th century, Mendeleev arranged the elements known at the time to form his periodic table. Mendeleev’s periodic table is different from the modern periodic table.

State one difference between Mendeleev’s periodic table and the modern periodic table.

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Aluminium oxide reacts with hydrochloric acid to form a salt and water.

(b)(i)

State the name of the salt formed.

[1]
Reveal mark scheme Mark scheme for question 4(b)(i)
(b)(ii)

In this reaction aluminium oxide is a base.

State the type of reaction that takes place when an acid reacts with a base.

[1]
Reveal mark scheme Mark scheme for question 4(b)(ii)
(c)

Gallium, Ga, is in the same group of the modern periodic table as aluminium.

The formula of aluminium oxide is Al2O3.

(c)(i)

Predict the formula of gallium oxide.

[1]
Reveal mark scheme Mark scheme for question 4(c)(i)
(c)(ii)

Gallium oxide has a very high melting point. Gallium oxide does not conduct electricity when solid but does conduct electricity when molten.

What type of substance is gallium oxide?

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(c)(ii)
(d)

Figure 5 shows the changes of state for gallium and the arrangement of particles in liquid gallium.

Figure for question 4
(d)(i)

Complete the boxes for solid gallium and gaseous gallium by drawing the arrangement of the particles in each of these physical states.

[2]
Reveal mark scheme Mark scheme for question 4(d)(i)
(d)(ii)

Give the name of the change of state labelled Y in Figure 5.

[1]
Reveal mark scheme Mark scheme for question 4(d)(ii)
(e)

Gallium metal is a conductor of electricity.

Explain how metals conduct electricity.

[2]
Reveal mark scheme Mark scheme for question 4(e)

Paper 1 November 2020 Higher tier, Question 3 9 marks

Also involves Conservation of mass and balanced equations

The word equation for the reaction between copper carbonate and dilute sulfuric acid is

copper sulfuric copper carbon

Question 3, shown as an image
(a)(i)

Complete the balanced equation for this reaction.

Question 3, shown as an image
[2]
Reveal mark scheme Mark scheme for question 3(a)(i)
(a)(ii)

Calculate the relative formula mass of copper carbonate, CuCO3. (relative atomic masses: C = 12.0, O = 16.0, Cu = 63.5)

relative formula mass of CuCO3 =........

[2]
Reveal mark scheme Mark scheme for question 3(a)(ii)
(a)(iii)

What is the chemical test to show that a gas is carbon dioxide?

Question 3, shown as an image
[1]
Reveal mark scheme Mark scheme for question 3(a)(iii)
(b)

Figure 4 shows a conical flask containing dilute sulfuric acid. Copper carbonate is added to the acid in the flask. The copper carbonate is added one spatula measure at a time until the reaction has finished.

Figure for question 3

State two observations that would show the reaction has finished.

[2]
Reveal mark scheme Mark scheme for question 3(b)
(c)

The electronic configuration of carbon is 2.4 The electronic configuration of oxygen is 2.6

Draw a dot and cross diagram for a molecule of carbon dioxide.

Show outer electrons only.

[2]
Reveal mark scheme Mark scheme for question 3(c)

Paper 1 November 2020 Higher tier, Question 9 11 marks

(a)

Dilute hydrochloric acid is a strong acid.

(a)(i)

Explain why dilute hydrochloric acid is described as a strong acid.

[2]
Reveal mark scheme Mark scheme for question 9(a)(i)
(a)(ii)

1 cm3 of hydrochloric acid of pH 2 is made up to a volume of 10 cm3 with distilled water.

State the pH of the new solution.

[1]
Reveal mark scheme Mark scheme for question 9(a)(ii)
(b)

Magnesium oxide reacts with dilute hydrochloric acid to produce magnesium chloride solution and water.

Question 9, shown as an image

Write the ionic equation for this reaction.

[3]
Reveal mark scheme Mark scheme for question 9(b)
(c)

In an experiment magnesium hydroxide powder is added in 0.1 g portions to 25 cm3 of dilute hydrochloric acid until the magnesium hydroxide is just in excess.

Universal indicator paper can be used to test the pH of the solution after each addition of magnesium hydroxide.

(c)(i)

Give the name of an alternative piece of equipment that can be used to measure pH.

[1]
Reveal mark scheme Mark scheme for question 9(c)(i)
(c)(ii)

State and explain how the pH changes as the magnesium hydroxide is added to the dilute hydrochloric acid.

[4]
Reveal mark scheme Mark scheme for question 9(c)(ii)

Paper 1 June 2019 Higher tier, Question 9 13 marks

(a) X and Y are solutions of two different acids. The concentration of acid in each solution, in mol dm−3, is the same. Solution X has a pH of 3.40 and solution Y has a pH of 4.40.

(a)
(a)(i)

State what could be used to measure these pH values of 3.40 and 4.40.

[1]
Reveal mark scheme Mark scheme for question 9(a)(i)
(a)(ii)

What is the concentration of hydrogen ions in solution X compared with that in solution Y ?

Question 9, shown as an image
[1]
Reveal mark scheme Mark scheme for question 9(a)(ii)
(b)

An experiment is planned to record the change in pH as a powdered base is added to 50 cm3 dilute hydrochloric acid.

The method suggested is

step 1 add dilute hydrochloric acid up to the 50 cm3 mark on a beaker

step 2 add one spatula of the base and stir

step 3 measure the pH of the mixture

step 4 repeat steps 2 and 3 until the pH stops changing.

(b)(i)

State how you could change the method so that the amounts of dilute hydrochloric acid and of the base can be measured more accurately.

dilute hydrochloric acid........

[2]
Reveal mark scheme Mark scheme for question 9(b)(i)
(b)(ii)

During the experiment the pH changes from 2 to 10. If phenolphthalein indicator is added at the beginning of the experiment, a colour change occurs as the base is added.

State the colour change that occurs.

[1]
Reveal mark scheme Mark scheme for question 9(b)(ii)
(b)(iii)

Explain, in terms of the particles present, why the pH increases during the experiment.

[2]
Reveal mark scheme Mark scheme for question 9(b)(iii)
(c)

*(c) Some properties of four solids, A, B, C and D, are shown in Figure 6.

The solids, in no particular order, are copper carbonate, copper oxide, magnesium metal and sodium hydroxide.

Figure for question 9

Identify the solids A, B, C and D, explaining how the information in Figure 6 supports the identification of each solid.

[6]
Reveal mark scheme Mark scheme for question 9(c)

Paper 1 June 2019 Higher tier, Question 10 12 marks

(a) Nitric acid can be titrated with a solution of ammonia.

(a)
(a)(i)

State the type of reaction occurring when nitric acid reacts with ammonia.

[1]
Reveal mark scheme Mark scheme for question 10(a)(i)
(a)(ii)

What salt is formed in this reaction?

Question 10, shown as an image
[1]
Reveal mark scheme Mark scheme for question 10(a)(ii)
(b)

In one stage of the production of nitric acid, nitrogen oxide, NO, is reacted with oxygen to make nitrogen dioxide, NO2.

Question 10, shown as an image

Calculate the minimum volume of air, measured at room temperature and pressure, required to react with 1000 g nitrogen oxide to form nitrogen dioxide.

Assume that the air contains 20% oxygen by volume. (relative atomic masses: N = 14, O = 16 1 mol of gas occupies 24 dm3 at room temperature and pressure)

[4]
Reveal mark scheme Mark scheme for question 10(b)
(c)

*(c) In another stage in the production of nitric acid, ammonia is reacted with oxygen to form nitrogen oxide and water.

Question 10, shown as an image

Heat energy is given out when ammonia reacts with oxygen.

The conditions chosen for the reaction are

• excess air, rather than just the right amount

• a pressure of 10 atm, rather than atmospheric pressure

• a temperature of 900 °C, rather than room temperature.

Explain the effect of the conditions chosen on the equilibrium yield of nitrogen oxide and on the rate of attainment of equilibrium.

[6]
Reveal mark scheme Mark scheme for question 10(c)

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