Chemistry Exam Calculations
Chemistry Exam Calculations
(ii) The chemical equation for this reaction can be represented as shown.
H H H H
C C + Cl Cl Cl C C Cl
H H H H
Use the bond energies in the table to calculate the bond energy of a C–Cl bond, in kJ / mol.
step 2 Use your answer in step 1 and the energy change for the reaction to determine
the energy released when bonds are formed.
step 3 Use your answer in step 2 and bond energy values to determine the energy of
a C–Cl bond.
[Total: 11]
Calculate the energy change for the reaction between nitrogen and fluorine, using the
following steps:
.............................. kJ
.............................. kJ
.............................. kJ / mol
[3]
(ii) Use your answer to (i) to deduce whether this reaction is endothermic or exothermic.
Explain your answer.
.............................................................................................................................................
....................................................................................................................................... [1]
(c) Describe and explain the effect, if any, on the position of equilibrium when:
.............................................................................................................................................
....................................................................................................................................... [2]
.............................................................................................................................................
....................................................................................................................................... [2]
(d) The reaction between chlorine and carbon monoxide can be represented as shown.
O
Cl Cl + CO C
Cl Cl
When one mole of chlorine reacts with one mole of carbon monoxide, 230 kJ of energy is
released.
Use the information to calculate the energy of the bond between the C and the O in
carbon monoxide, CO.
(ii) The structures of the reactants and products of this reaction are shown.
H H H H H H
H C C C H + Cl Cl → H C C C H
H H Cl Cl
bond energy
bond
in kJ / mol
C–C 347
C=C 612
C–H 413
C–Cl 339
Cl –Cl 242
Calculate the energy change for the reaction between propene and chlorine using the
following steps.
.............................. kJ
.............................. kJ
● Calculate the energy change for the reaction between propene and chlorine.
.............................. kJ / mol
[3]
(d) Hydrogen and chlorine react to form hydrogen chloride gas, as shown in the equation.
H2 + Cl 2 → 2HCl
bond energy
bond
in kJ / mol
H–H 436
Cl –Cl 243
H–Cl 432
Calculate the energy change for the reaction between hydrogen and chlorine, using the
following steps.
.............................. kJ
.............................. kJ
.............................. kJ / mol
[3]
[Total: 13]
5 Carboxylic acids react with alcohols to form esters. The reaction is reversible.
The equation for the reaction between ethanoic acid and ethanol is shown.
(a) (i) What is the name of the ester formed in this reaction?
....................................................................................................................................... [1]
(ii) Draw the structure of the ester formed. Show all of the atoms and all of the bonds.
[1]
energy
progress of reaction
[3]
....................................................................................................................................................
.............................................................................................................................................. [2]
2 A student investigated the temperature changes when two different metals, zinc and magnesium,
reacted with aqueous copper(II) sulfate.
Experiment 1
● A measuring cylinder was used to pour 25 cm3 aqueous copper(II) sulfate into a polystyrene
cup.
● The initial temperature of the solution was measured and the timer was started.
● The temperature of the solution was measured at 30 seconds and at 60 seconds.
● At 60 seconds, 5 g of zinc powder was added to the aqueous copper(II) sulfate. The mixture
was stirred with a thermometer.
● The temperature of the mixture was measured every 30 seconds for 210 seconds. The mixture
was stirred continuously.
(a) Use the thermometer diagrams to record the temperatures in the table.
temperature of
mixture / °C
[2]
Experiment 2
(b) Use the thermometer diagrams to record the temperatures in the table.
temperature of
mixture / °C
[1]
Experiment 3
(c) Use the thermometer diagrams to record the temperatures in the table.
temperature of
mixture / °C
[1]
(d) Plot the results for Experiments 1–3 on the grid and draw three smooth line graphs.
Clearly label your lines.
80
70
60
50
temperature of
mixture / °C
40
30
20
10
0
0 30 60 90 120 150 180 210
time / s
[3]
(e) From your graph, deduce the temperature of the mixture in Experiment 2 after 75 seconds.
Show clearly on the grid how you worked out your answer.
.............................. °C [2]
(f) (i) From the results, which Experiment was the most exothermic? Explain your answer.
.............................................................................................................................................
....................................................................................................................................... [2]
(ii) Compare the rates of reaction in Experiments 1 and 3. Explain why the rates of reaction
are different.
.............................................................................................................................................
.............................................................................................................................................
....................................................................................................................................... [2]
(g) Predict the temperature of the mixture in Experiment 2 after 2 hours. Explain your answer.
....................................................................................................................................................
.............................................................................................................................................. [2]
(h) When doing the experiments, what would be the advantage of taking the temperature readings
every 15 seconds?
....................................................................................................................................................
.............................................................................................................................................. [2]
(i) Explain why a copper can should not be used in place of the polystyrene cup in these
experiments.
....................................................................................................................................................
....................................................................................................................................................
.............................................................................................................................................. [2]
[Total: 19]
H H
H C C O H + 3 O O 2 O C O + 3 H O H
H H
Use the bond energies in the table to calculate the energy change, in kJ / mol, for the complete
combustion of ethanol.
bond energy
bond
in kJ / mol
C–C 347
C–H 413
C–O 358
C=O 805
O–H 464
O=O 498
.............................. kJ
.............................. kJ
(i) Calculate the volume of oxygen at room temperature and pressure, in dm3, that reacts with
4.80 dm3 of ammonia.
(ii) The chemical equation for the reaction can be represented as shown.
4 H N H + 5 O O 4 N O + 6 H O H
Use the bond energies in the table to calculate the energy change, in kJ / mol, which
occurs when one mole of NH3 reacts.
.............................. kJ
.............................. kJ
[Total: 22]
(c) Gaseous phosphorus(III) chloride, PCl 3, reacts with gaseous chlorine to form gaseous
phosphorus(V) chloride, PCl 5.
Cl Cl
Cl
Cl P Cl + Cl Cl P Cl
Cl
Cl
(i) Use the bond energies in the table to calculate the energy change, in kJ / mol, of the
reaction.
.............................. kJ
.............................. kJ
(ii) Deduce whether the energy change for this reaction is exothermic or endothermic. Explain
your answer.
.............................................................................................................................................
....................................................................................................................................... [1]
2 A student investigated the temperature changes when two different solids, N and O, dissolve in
water.
Two experiments were done.
Experiment 1
● Using a measuring cylinder, 30 cm3 of distilled water was poured into a polystyrene cup.
● The initial temperature of the distilled water was measured.
● Solid N was added to the distilled water, a timer started and the mixture was stirred with a
stirring thermometer.
● The temperature of the mixture was measured every 30 seconds for three minutes (180 seconds).
(a) Use the thermometer diagrams to record the temperatures in the table.
temperature of
mixture / °C
[2]
Experiment 2
Experiment 1 was repeated using a new polystyrene cup and solid O instead of solid N.
(b) Use the thermometer diagrams to record the temperatures in the table.
temperature of
mixture / °C
[2]
(c) Plot the results for Experiments 1 and 2 on the grid. Draw two smooth line graphs.
Clearly label your graphs.
30
20
temperature
of mixture
/ °C
10
0
0 30 60 90 120 150 180 210 240
time / s
[3]
(d) (i) From your graph, deduce the time taken for the initial temperature of the solution in
Experiment 2 to change by 3 °C.
Show clearly on the grid how you worked out your answer.
.............................. s [3]
(ii) Extend your graph for Experiment 1 to give the expected temperature of the mixture after
240 seconds.
.............................. °C [2]
(e) Is the energy change in Experiment 2 exothermic or endothermic? Explain your answer.
....................................................................................................................................................
.............................................................................................................................................. [1]
(f) State two possible sources of error in these experiments. Suggest two improvements to
reduce each of these sources of error.
improvement 1 ...........................................................................................................................
improvement 2 ...........................................................................................................................
[4]
[Total: 17]
4 Potassium nitrate and ammonium chloride are two salts. The energy change when they each
dissolve in water is endothermic.
Plan an experiment to show which of these two salts produces the larger endothermic energy
change per gram.
You are provided with potassium nitrate and ammonium chloride, distilled water and common
laboratory apparatus.
...........................................................................................................................................................
...........................................................................................................................................................
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...........................................................................................................................................................
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..................................................................................................................................................... [6]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
2 A student investigated the temperature change when magnesium ribbon reacts with
dilute sulfuric acid.
Experiment 1
● Using a measuring cylinder, 20 cm3 of dilute sulfuric acid were poured into a boiling tube.
● A thermometer was used to measure the initial temperature of the acid.
● A 1 cm length of magnesium ribbon was added to the acid in the boiling tube.
● The acid and magnesium ribbon in the boiling tube were stirred continuously using a
thermometer.
● The highest temperature reached by the mixture was measured.
● The boiling tube was rinsed out with distilled water.
Experiment 2
● Experiment 1 was repeated using a 2 cm length of magnesium ribbon instead of the 1 cm length.
Experiment 3
● Experiment 1 was repeated using a 3 cm length of magnesium ribbon instead of the 1 cm length.
Experiment 4
● Experiment 1 was repeated using a 5 cm length of magnesium ribbon instead of the 1 cm length.
Experiment 5
● Experiment 1 was repeated using a 6 cm length of magnesium ribbon instead of the 1 cm length.
(a) Use the information in the description of the experiments and the thermometer diagrams to
complete the table.
1 25 25
20 20
30 30
2 25 25
20 20
30 30
3 25 25
20 20
30 40
4 25 35
20 30
30 40
5 25 35
20 30
[4]
.............................................................................................................................................. [1]
(c) Add a suitable scale to the y-axis and plot the results from Experiments 1 to 5 on the grid.
Draw a smooth line graph, making sure that your line passes through (0,0).
temperature
increase / °C
0
0 1 2 3 4 5 6
length of magnesium ribbon / cm
[5]
(d) Explain why the graph line must pass through (0,0).
....................................................................................................................................................
.............................................................................................................................................. [1]
(e) From your graph, deduce the temperature increase if Experiment 1 is repeated using a 4 cm
length of magnesium ribbon.
Show clearly on the grid how you worked out your answer.
..............................
[3]
(f) (i) Why would carrying out the experiment in a polystyrene cup rather than a boiling tube
improve the accuracy of the results?
.............................................................................................................................................
....................................................................................................................................... [1]
(ii) Sketch on the grid the graph you would expect if the experiment was repeated using a
polystyrene cup instead of a boiling tube. [1]
(g) The volume of dilute sulfuric acid could be measured with a 20 cm3 pipette.
(i) State one advantage of using a pipette rather than a measuring cylinder.
.............................................................................................................................................
....................................................................................................................................... [1]
(ii) State one disadvantage of using a pipette rather than a measuring cylinder.
.............................................................................................................................................
....................................................................................................................................... [1]
[Total: 18]
2 A student investigated the temperature change when aqueous sodium hydroxide neutralises dilute
hydrochloric acid. The equation for the reaction is shown.
Experiment 1
● A polystyrene cup was placed into a 250 cm3 beaker for support.
● Using a measuring cylinder, 5 cm3 of aqueous sodium hydroxide was poured into the polystyrene
cup.
● Using a measuring cylinder, 45 cm3 of dilute hydrochloric acid was poured into the polystyrene
cup.
● The mixture was stirred and the maximum temperature reached was measured using a
thermometer.
● The polystyrene cup was rinsed with distilled water.
Experiment 2
● Experiment 1 was repeated using 10 cm3 of aqueous sodium hydroxide and 40 cm3 of
dilute hydrochloric acid.
Experiment 3
● Experiment 1 was repeated using 15 cm3 of aqueous sodium hydroxide and 35 cm3 of
dilute hydrochloric acid.
Experiment 4
● Experiment 1 was repeated using 20 cm3 of aqueous sodium hydroxide and 30 cm3 of
dilute hydrochloric acid.
Experiment 5
● Experiment 1 was repeated using 30 cm3 of aqueous sodium hydroxide and 20 cm3 of
dilute hydrochloric acid.
Experiment 6
● Experiment 1 was repeated using 35 cm3 of aqueous sodium hydroxide and 15 cm3 of
dilute hydrochloric acid.
Experiment 7
● Experiment 1 was repeated using 40 cm3 of aqueous sodium hydroxide and 10 cm3 of
dilute hydrochloric acid.
Experiment 8
● Experiment 1 was repeated using 45 cm3 of aqueous sodium hydroxide and 5 cm3 of
dilute hydrochloric acid.
(a) Use the information in the description of the experiments and the thermometer diagrams to
complete the table.
1 5 25
20
30
2 10 25
20
30
3 15 25
20
30
4 20 25
20
30
5 30 25
20
30
6 35 25
20
30
7 40 25
20
30
8 45 25
20
[4]
(b) Plot the results from Experiments 1 to 8 on the grid. Draw two straight lines through the points.
Extend your straight lines so that they cross.
34
32
30
highest
temperature 28
reached / °C
26
24
22
0 5 10 15 20 25 30 35 40 45 50
volume of aqueous sodium hydroxide / cm3
[4]
(c) The point on the graph where the two straight lines cross is where all of the
aqueous sodium hydroxide reacts with all of the dilute hydrochloric acid to form a neutral
solution.
(i) Use your graph to deduce the volume of aqueous sodium hydroxide and the volume of
dilute hydrochloric acid that react together to produce a neutral solution.
Show your working on the grid.
(ii) Use your graph to determine the highest temperature reached if the volumes in (c)(i)
were mixed together.
(iii) Which solution, aqueous sodium hydroxide or dilute hydrochloric acid, was the most
concentrated?
Use your answer to (c)(i) to explain why.
explanation .........................................................................................................................
.............................................................................................................................................
[1]
(d) On the graph, sketch the lines you would expect to obtain if a copper can was used instead of
a polystyrene cup. [2]
(e) Give one advantage and one disadvantage of using a burette, instead of a measuring cylinder,
to add the dilute hydrochloric acid directly into the polystyrene cup.
advantage ..................................................................................................................................
....................................................................................................................................................
disadvantage .............................................................................................................................
....................................................................................................................................................
[2]
(f) How could the reliability of the results of this investigation be checked?
....................................................................................................................................................
.............................................................................................................................................. [1]
[Total: 19]
2 A student investigated the temperature decrease when sodium hydrogencarbonate reacts with
dilute hydrochloric acid.
Experiment 1
● Using a measuring cylinder, 25 cm3 of dilute hydrochloric acid was poured into a conical flask.
● The initial temperature of the acid was measured using a thermometer.
● 1 g of sodium hydrogencarbonate was added to the conical flask. At the same time a stop-clock
was started.
● The acid and sodium hydrogencarbonate mixture in the conical flask was stirred continuously
using the thermometer.
● The temperature of the mixture after 1 minute was measured.
● The conical flask was rinsed with distilled water.
Experiment 2
● Experiment 1 was repeated using 2 g of sodium hydrogencarbonate instead of 1 g.
Experiment 3
● Experiment 1 was repeated using 3 g of sodium hydrogencarbonate instead of 1 g.
Experiment 4
● Experiment 1 was repeated using 5 g of sodium hydrogencarbonate instead of 1 g.
Experiment 5
● Experiment 1 was repeated using 6 g of sodium hydrogencarbonate instead of 1 g.
Experiment 6
● Experiment 1 was repeated using 7 g of sodium hydrogencarbonate instead of 1 g.
(a) Use the thermometer diagrams to complete the table and calculate the temperature decreases.
30 25
1 1 25 20
20 15
30 25
2 2 25 20
20 15
30 20
3 3 25 15
20 10
30 20
4 5 25 15
20 10
30 20
5 6 25 15
20 10
30 20
6 7 25 15
20 10
[4]
Draw two best-fit straight lines through your points. The first straight line should be for the first
three points and must pass through (0,0). The second straight line should be for the last three
points and must be horizontal. Extend your straight lines so that they meet each other.
12
10
temperature
decrease / °C
6
0
0 1 2 3 4 5 6 7
mass of sodium hydrogencarbonate / g
[4]
(c) (i) From your graph, determine the temperature decrease and mass of sodium
hydrogencarbonate where your two straight lines meet. Include appropriate units in your
answer.
Show clearly on the grid how you worked out your answer.
(ii) Explain why the temperature decrease becomes constant for high masses of sodium
hydrogencarbonate.
.............................................................................................................................................
....................................................................................................................................... [1]
(d) The investigation was repeated with dilute hydrochloric acid of half the concentration, but the
same volume.
(e) Suggest two changes that could be made to the apparatus that would improve the accuracy of
the results. For each change explain why it would improve the accuracy of the results.
change 1 ....................................................................................................................................
explanation 1 .............................................................................................................................
....................................................................................................................................................
change 2 ....................................................................................................................................
explanation 2 .............................................................................................................................
....................................................................................................................................................
[4]
[Total: 18]
2 A student investigated the temperature change when zinc reacted with two different aqueous
solutions of copper(II) sulfate, solution Q and solution R.
(a) Experiment 1
Use the thermometer diagrams and the initial temperature to complete the table.
Calculate the temperature changes using the equation:
thermometer diagram 40 45 50 50 50 50 50 50
35 40 45 45 45 45 45 45
temperature / !C
temperature change / !C
[3]
(b) Experiment 2
● The polystyrene cup was washed out with distilled water.
● Experiment 1 was repeated using solution R instead of solution Q.
Use the thermometer diagrams and the initial temperature to complete the table.
thermometer diagram 30 35 40 40 40 40 35 35
25 30 35 35 35 35 30 30
temperature / !C
temperature change / !C
[3]
(c) Complete a suitable scale on the y-axis and plot the results from Experiment 1 and Experiment 2
on the grid. Draw two curves of best fit. Both curves must start at (0,0). Label your curves.
temperature
change / !C
0
0 50 100 150 200 250
time / s
[5]
(d) From your graph, deduce the temperature change at 110 seconds in Experiment 1.
Show clearly on the grid how you worked out your answer.
.............................. °C
[2]
(e) Predict the temperature of the solution in Experiment 2 after 5 hours. Explain your answer.
....................................................................................................................................................
.............................................................................................................................................. [2]
(f) (i) Suggest why the experiments were done in a polystyrene cup rather than a glass beaker.
....................................................................................................................................... [1]
(ii) Describe how the results would be different if a glass beaker is used in place of the
polystyrene cup.
....................................................................................................................................... [1]
(g) Suggest one change that could be made to the apparatus that would improve the accuracy of
the results. Explain why this change would improve the accuracy of the results.
change .......................................................................................................................................
explanation ................................................................................................................................
....................................................................................................................................................
[2]
[Total: 19]
2 A student investigated the temperature change when anhydrous lithium chloride dissolves in water.
(a) Experiment 1
● Using a measuring cylinder, 30 cm3 of distilled water was poured into a 100 cm3 beaker.
● The initial temperature of the water was measured using a thermometer.
● 1.0 g of anhydrous lithium chloride was added to the water in the beaker. At the same time
a timer was started.
● The water and lithium chloride mixture was continually stirred using a thermometer.
● The temperature of the mixture was measured after 30 seconds.
● The beaker was rinsed with distilled water.
Experiment 2
● Experiment 1 was repeated using 1.5 g of anhydrous lithium chloride instead of the 1.0 g
of anhydrous lithium chloride.
Experiment 3
● Experiment 1 was repeated using 2.0 g of anhydrous lithium chloride instead of the 1.0 g
of anhydrous lithium chloride.
Experiment 4
● Experiment 1 was repeated using 2.5 g of anhydrous lithium chloride instead of the 1.0 g
of anhydrous lithium chloride.
Experiment 5
● Experiment 1 was repeated using 3.0 g of anhydrous lithium chloride instead of the 1.0 g
of anhydrous lithium chloride.
Experiment 6
● Experiment 1 was repeated using 4.0 g of anhydrous lithium chloride instead of the 1.0 g
of anhydrous lithium chloride.
Use the thermometer diagrams to complete the table and calculate the temperature changes.
30 30
1 1.0 25 25
20 20
30 30
2 1.5 25 25
20 20
30 35
3 2.0 25 30
20 25
30 35
4 2.5 25 30
20 25
30 40
5 3.0 25 35
20 30
30 40
6 4.0 25 35
20 30
[5]
(b) Complete a suitable scale on the y-axis and plot the results from Experiments 1 to 6 on the
grid.
Draw a straight line of best fit through your points. The straight line must pass through (0,0).
temperature
change / !C
0
0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
mass of anhydrous lithium chloride / g
[5]
(c) From your graph, deduce the temperature change when 3.2 g of anhydrous lithium chloride
is dissolved in 30 cm3 of distilled water.
Show clearly on the grid how you worked out your answer.
(d) Estimate the temperature change if Experiment 6 is repeated using 60 cm3 of water instead of
30 cm3 of water. Give a reason for your answer.
....................................................................................................................................................
....................................................................................................................................................
.............................................................................................................................................. [2]
(e) Suggest two changes that could be made to the apparatus to improve the accuracy of the
results. For each change explain why it improves the accuracy of the results.
change 1 ....................................................................................................................................
explanation 1 .............................................................................................................................
....................................................................................................................................................
change 2 ....................................................................................................................................
explanation 2 .............................................................................................................................
....................................................................................................................................................
[4]
[Total: 18]
4 The energy given out when different liquid alcohols are burned can be compared using the apparatus
shown.
thermometer
test-tube
water
spirit burner
liquid alcohol
Describe how the apparatus shown can be used to compare the amount of energy given out by
three different liquid alcohols, ethanol, propanol and butanol. Your answer should include how the
results can be used to determine which fuel gives out the most energy.
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..................................................................................................................................................... [6]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.