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S1.5 Ideal gases

Practice exam-style IB Chemistry questions for Ideal gases, aligned with the syllabus and grouped by topic.

Verified by Dennis M.
Verified by Dennis M.
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Question 1
SL • Paper 1A
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SL • Paper 1A
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An assumption used in the ideal gas model is that gas particles have

A.

strong attractive forces between neighbouring particles.

B.

negligible volume compared with the volume of the container.

C.

collisions in which total kinetic energy decreases.

D.

fixed positions except when the container is heated.

Question 2
SL • Paper 1A
Easy
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SL • Paper 1A
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A fixed amount of ideal gas is heated in a rigid sealed container. The pressure increases because the particles

A.

expand in size and occupy a greater fraction of the container.

B.

move faster and collide more forcefully with the container walls.

C.

attract one another more strongly at the higher temperature.

D.

collide inelastically and transfer energy to the container walls.

Question 3
SL • Paper 1A
Easy
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SL • Paper 1A
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The conditions under which a real gas is expected to behave most like an ideal gas are

A.

high temperature and low pressure.

B.

low temperature and low pressure.

C.

low temperature and high pressure.

D.

high temperature and high pressure.

Question 4
SL • Paper 1A
Easy
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SL • Paper 1A
Easy
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The volume occupied by 0.500 mol0.500\ \text{mol} of an ideal gas at STP is

A.

22.7 dm322.7\ \text{dm}^3

B.

5.68 dm35.68\ \text{dm}^3

C.

45.4 dm345.4\ \text{dm}^3

D.

11.35 dm311.35\ \text{dm}^3

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Question 5
SL • Paper 1A
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SL • Paper 1A
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A fixed amount of ideal gas occupies 3.00 dm33.00\ \text{dm}^3 at 300 K300\ \text{K}. The gas is heated to 450 K450\ \text{K} at constant pressure. Its final volume is

A.

4.50 dm34.50\ \text{dm}^3

B.

6.00 dm36.00\ \text{dm}^3

C.

2.00 dm32.00\ \text{dm}^3

D.

3.00 dm33.00\ \text{dm}^3

Question 6
HL • Paper 1A
Easy
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HL • Paper 1A
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A gas is collected over water at 25 ∘C25\ ^\circ\text{C}. The total pressure is 101.3 kPa101.3\ \text{kPa} and the water vapour pressure is 3.2 kPa3.2\ \text{kPa}. The pressure to use for the dry gas in PV=nRTPV=nRT is

A.

3.2 kPa3.2\ \text{kPa}

B.

98.1 kPa98.1\ \text{kPa}

C.

104.5 kPa104.5\ \text{kPa}

D.

101.3 kPa101.3\ \text{kPa}

Question 7
SL • Paper 2
Easy
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SL • Paper 2
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A sealed container holds a sample of gas that is modelled as ideal.

A

two assumptions made in the ideal gas model.

[2]
Question 8
SL • Paper 2
Easy
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SL • Paper 2
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A sample of ethene, C2H4C_2H_4, has a volume of 5.68 dm35.68\ \text{dm}^3 at STP. The molar volume of an ideal gas at STP is 22.7 dm3 mol−122.7\ \text{dm}^3\ \text{mol}^{-1}.

A

the amount, in mol, of ethene in the sample.

[1]
B

the mass of ethene in the sample.

[2]

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Question 9
SL • Paper 1A
Medium
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SL • Paper 1A
Medium
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An ideal gas has a volume of 24.9 dm324.9\ \text{dm}^3 at 100 kPa100\ \text{kPa} and 300 K300\ \text{K}. Using R=8.31 J K−1mol−1R = 8.31\ \text{J K}^{-1}\text{mol}^{-1}, the amount of gas is

A.

0.0100 mol0.0100\ \text{mol}

B.

0.100 mol0.100\ \text{mol}

C.

10.0 mol10.0\ \text{mol}

D.

1.00 mol1.00\ \text{mol}

Question 10
HL • Paper 1A
Medium
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HL • Paper 1A
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Under the same conditions of temperature and pressure, the gas expected to deviate most from ideal behaviour is

A.

Ne\text{Ne}

B.

CH4\text{CH}_4

C.

NH3\text{NH}_3

D.

He\text{He}

Question 11
HL • Paper 1A
Medium
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HL • Paper 1A
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The graph shows results from an investigation using a fixed amount of ideal gas at constant temperature.

The relationship shown is best interpreted as

A.

PP is directly proportional to V2V^2.

B.

PP is independent of VV.

C.

PP is directly proportional to VV.

D.

PP is directly proportional to 1V\dfrac{1}{V}.

Question 12
SL • Paper 2
Medium
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SL • Paper 2
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A fixed amount of a real gas is compressed and cooled.

A

the conditions under which a real gas deviates most from ideal behaviour.

[1]
B

why these conditions cause greater deviation from ideal behaviour.

[2]

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Question 13
SL • Paper 2
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SL • Paper 2
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A student investigates the pressure of a fixed amount of gas at constant temperature by changing the volume of the container.

A

Identify the independent variable in this investigation.

[1]
B

the relationship between pressure and volume for this gas sample.

[1]
C

, using the particle model, why the pressure changes when the volume is decreased.

[1]
Question 14
SL • Paper 2
Medium
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SL • Paper 2
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A balloon contains 0.150 mol0.150\ \text{mol} of helium at 25.0 ∘C25.0\ ^\circ\text{C} and 1.20×105 Pa1.20\times 10^5\ \text{Pa}. Assume ideal gas behaviour.

A

Convert the temperature to kelvin.

[1]
B

the volume of helium in m3\text{m}^3.

[2]
Question 15
SL • Paper 2
Medium
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SL • Paper 2
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A fixed mass of gas is sealed in a rigid metal cylinder. Its pressure is 1.01×105 Pa1.01\times 10^5\ \text{Pa} at 20.0 ∘C20.0\ ^\circ\text{C}. The cylinder is warmed to 60.0 ∘C60.0\ ^\circ\text{C}.

A

the final pressure of the gas, assuming ideal behaviour.

[2]
B

why temperature must be converted to kelvin in this calculation.

[1]
Question 16
SL • Paper 1B
Medium
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SL • Paper 1B
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A fixed amount of an ideal gas was kept at constant temperature while the volume of the container was changed. The graph shows the measured pressure at each volume, with one point labelled A.

A

the relationship shown by the graph.

[1]
B

Use point A to the value of PVPV for the gas sample.

[1]
C

, using the particle model, why the pressure increases when the volume is decreased at constant temperature.

[2]

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Question 17
SL • Paper 1B
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SL • Paper 1B
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Different gases were measured at standard temperature and pressure, STP. The table shows the amount of gas and the volume occupied by each sample.

Sample

Amount / mol

Volume / dm3\text{dm}^{3}

A

0.150

3.41

B

0.500

11.35

C

0.750

17.0

A

the molar volume using the data for sample B.

[1]
B

why the gases have similar molar volumes even though their particles have different masses.

[1]
C

A fourth sample contains 0.0750 mol0.0750\ \text{mol} of an ideal gas at STP. its volume in dm3\text{dm}^3.

[2]
Question 18
HL • Paper 1A
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HL • Paper 1A
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A 0.440 g0.440\ \text{g} sample of gas occupies 2.49×10−4 m32.49\times10^{-4}\ \text{m}^3 at 100 kPa100\ \text{kPa} and 300 K300\ \text{K}. Using R=8.31 J K−1mol−1R = 8.31\ \text{J K}^{-1}\text{mol}^{-1}, the molar mass of the gas is

A.

88.0 g mol−188.0\ \text{g mol}^{-1}

B.

4.40 g mol−14.40\ \text{g mol}^{-1}

C.

22.0 g mol−122.0\ \text{g mol}^{-1}

D.

44.0 g mol−144.0\ \text{g mol}^{-1}

Question 19
HL • Paper 1A
Medium
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HL • Paper 1A
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A fixed amount of ideal gas changes from 120 kPa120\ \text{kPa}, 1.50 dm31.50\ \text{dm}^3 and 290 K290\ \text{K} to 1.00 dm31.00\ \text{dm}^3 and 348 K348\ \text{K}. The final pressure is

A.

216 kPa216\ \text{kPa}

B.

261 kPa261\ \text{kPa}

C.

100 kPa100\ \text{kPa}

D.

145 kPa145\ \text{kPa}

Question 20
HL • Paper 1A
Medium
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HL • Paper 1A
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In an experiment to the molar mass of a gas, some gas escapes before its volume is measured. The mass loss of the gas source is measured correctly. The calculated molar mass will be

A.

too high, because the calculated amount of gas is too high.

B.

too low, because the calculated amount of gas is too high.

C.

too high, because the calculated amount of gas is too low.

D.

too low, because the calculated amount of gas is too low.

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Question 21
HL • Paper 2
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HL • Paper 2
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A volatile liquid is vaporized and the gas is collected over water. The mass of liquid vaporized is 0.108 g0.108\ \text{g}. The gas volume is 4.86×10−5 m34.86\times 10^{-5}\ \text{m}^3 at 296 K296\ \text{K}. The total pressure is 1.012×105 Pa1.012\times 10^5\ \text{Pa} and the water vapour pressure at 296 K296\ \text{K} is 2.80×103 Pa2.80\times 10^3\ \text{Pa}.

A

the pressure of the dry gas.

[1]
B

the molar mass of the volatile liquid.

[3]
Question 22
HL • Paper 2
Medium
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HL • Paper 2
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An impure sample of calcium carbonate decomposes on heating according to the equation:

CaCO3(s)→CaO(s)+CO2(g)\text{CaCO}_3(s)\to \text{CaO}(s)+CO_2(g)

A 0.842 g0.842\ \text{g} sample produces 1.68×10−4 m31.68\times 10^{-4}\ \text{m}^3 of CO2CO_2 at 298 K298\ \text{K} and 1.00×105 Pa1.00\times 10^5\ \text{Pa}. Assume ideal gas behaviour.

A

the amount, in mol, of CO2CO_2 produced.

[2]
B

the percentage by mass of calcium carbonate in the impure sample.

[2]
Question 23
HL • Paper 2
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HL • Paper 2
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Ammonia, NH3NH_3, and nitrogen, N2N_2, are compared under the same conditions of 250 K250\ \text{K} and 5.00×105 Pa5.00\times 10^5\ \text{Pa}.

A

Identify which gas is expected to deviate more from ideal behaviour.

[1]
B

your answer in terms of the ideal gas model.

[2]
Question 24
HL • Paper 2
Medium
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HL • Paper 2
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A rigid vessel of volume 2.50×10−3 m32.50\times 10^{-3}\ \text{m}^3 contains 0.0300 mol0.0300\ \text{mol} of argon at 298 K298\ \text{K}. A further 0.0100 mol0.0100\ \text{mol} of argon is added and the vessel is then heated to 350 K350\ \text{K}. Assume ideal gas behaviour.

A

the initial pressure in the vessel.

[2]
B

the final pressure in the vessel.

[2]

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Question 25
SL • Paper 1B
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SL • Paper 1B
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The compressibility factor, ZZ, is equal to PV/(nRT)PV/(nRT). For an ideal gas, Z=1Z=1. The table shows values of ZZ for nitrogen at different temperatures and pressures.

TT / K

1.0 MPa

5.0 MPa

10.0 MPa

200

0.98

0.88

0.76

300

0.99

0.94

0.86

400

1.00

0.98

0.95

A

Identify the conditions in the table under which nitrogen shows the greatest deviation from ideal behaviour.

[1]
B

the effect of increasing temperature on the value of ZZ at the same pressure.

[1]
C

why real gases deviate more from ideal behaviour under the conditions identified in part (a).

[2]
Question 26
SL • Paper 1B
Medium
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SL • Paper 1B
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Oxygen gas was collected in a gas syringe during the decomposition of hydrogen peroxide. The table shows the final gas volume and the conditions in the laboratory.

Quantity

Value

Final oxygen volume / cm3\text{cm}^{3}

72.0

Pressure / kPa

101

Temperature / K

295

A

the amount, in mol, of oxygen collected at the end of the experiment.

[3]
B

one variable, other than amount of gas, that must be measured to use the ideal gas equation for this sample.

[1]
C

one reason why the calculated amount of oxygen could be lower than the amount actually produced.

[1]
Question 27
SL • Paper 1B
Medium
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SL • Paper 1B
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A gas sample in a sealed piston was changed from 1 to 2. The diagram gives the pressure, volume and temperature for 1, and the volume and temperature for 2.

A

the pressure of the gas in 2.

[3]
B

why temperature values in gas calculations must be in kelvin rather than degrees Celsius.

[1]
Question 28
HL • Paper 1B
Medium
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HL • Paper 1B
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A fixed amount of gas was sealed in a rigid container. The pressure was recorded at different temperatures. The graph shows pressure plotted against temperature in degrees Celsius.

A

Identify the independent variable, the dependent variable and one controlled variable in this investigation.

[2]
B

Use the extrapolated line to the temperature at which the pressure would be zero.

[1]
C

the linear relationship shown by the graph using the ideal gas equation.

[2]

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Question 29
HL • Paper 1B
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HL • Paper 1B
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Students used measured values of pressure, volume, amount and temperature for an ideal gas to the gas constant, RR. The table and plot show their results from several trials.

Trial

Pressure / kPa

Volume / dm3\text{dm}^{3}

Amount / mol

Temperature / K

A

99.8

0.250

0.0100

300

B

100.1

0.249

0.0100

300

C

99.4

0.251

0.0100

300

D

120.0

0.250

0.0100

300

A

RR for trial A using the data in the table.

[2]
B

Identify the anomalous trial.

[1]
C

whether the results support the ideal gas model.

[1]
Question 30
HL • Paper 2
Medium
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HL • Paper 2
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The graph shows pressure against temperature for a fixed amount of gas in a container of constant volume. The ideal prediction and experimental results for a real gas are shown.

A

the relationship predicted by the ideal gas model for this experiment.

[1]
B

why the experimental pressure may be lower than the ideal prediction at lower temperatures.

[2]
C

why an accurately plotted graph is more useful than a graph for this investigation.

[1]
Question 31
HL • Paper 2
Medium
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HL • Paper 2
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A student determines the molar volume of hydrogen gas by reacting magnesium with excess hydrochloric acid and collecting the hydrogen in a gas syringe. A 0.0450 g0.0450\ \text{g} strip of magnesium produces 4.50×10−5 m34.50\times 10^{-5}\ \text{m}^3 of hydrogen at room temperature and pressure.

Mg(s)+2HCl(aq)→MgCl2(aq)+H2(g)\text{Mg}(s)+2HCl(aq)\to \text{MgCl}_2(aq)+H_2(g)

A

the experimental molar volume of hydrogen in m3 mol−1\text{m}^3\ \text{mol}^{-1}.

[2]
B

one systematic error that would make the calculated molar volume too low.

[1]
C

one improvement to increase the reliability or validity of the result.

[1]
Question 32
SL • Paper 1B
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SL • Paper 1B
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A gas was collected over water and used to the molar mass of a volatile compound. The table shows the experimental data. The total pressure is the pressure of the dry gas plus the pressure of water vapour.

Quantity

Value

Unit

Total pressure

100.8

kPa

Pressure of water vapour

3.17

kPa

Volume of gas collected

72.4

cm3\text{cm}^3

Temperature

298

K

Mass of volatile compound

0.118

g

A

the pressure of the dry gas.

[1]
B

the amount, in mol, of dry gas collected.

[2]
C

the molar mass of the gas and one source of systematic error if the water vapour pressure were not subtracted.

[2]

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Question 33
HL • Paper 1B
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HL • Paper 1B
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The table shows compressibility factors for methane, carbon dioxide and ammonia under comparable conditions. An ideal gas has Z=1Z=1.

Condition

Methane

Carbon dioxide

Ammonia

300 K, 5.0 MPa

0.86

0.68

0.50

500 K, 1.0 MPa

0.98

0.94

0.89

A

Identify the gas and conditions in the table that are closest to ideal behaviour.

[1]
B

the deviations of carbon dioxide and ammonia at low temperature and high pressure.

[2]
C

why ammonia deviates more from ideal behaviour than methane under comparable conditions.

[2]
Question 34
HL • Paper 1B
Hard
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HL • Paper 1B
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The molar mass of a volatile liquid was determined by vaporizing it in a flask of known volume. The apparatus and data are shown.

A

the amount of vapour in the flask, assuming ideal behaviour.

[3]
B

the molar mass of the volatile liquid.

[1]
C

one reason why the calculated molar mass would be too high if some liquid remained unevaporated in the flask.

[1]
Question 35
HL • Paper 1B
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HL • Paper 1B
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A fixed amount of gas was compressed at constant temperature. The data were processed by plotting pressure against the reciprocal of volume, 1/V1/V. The best-fit line has a gradient shown on the graph.

A

the evidence from the graph that pressure is inversely proportional to volume.

[1]
B

Use the gradient of the graph to the amount of gas in the sample at 298 K298\ \text{K}.

[3]
C

why the data might curve away from the straight line at very small volumes for a real gas.

[1]
Question 36
SL • Paper 2
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SL • Paper 2
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A student reacts 0.0400 g0.0400\ \text{g} of magnesium ribbon with excess dilute hydrochloric acid and collects the hydrogen gas in a gas syringe. The collected gas is saturated with water vapour at 25.0 ∘C25.0\ ^\circ\text{C}. The atmospheric pressure is 101.2 kPa101.2\ \text{kPa}. The vapour pressure of water at this temperature is 2.8 kPa2.8\ \text{kPa}.

A

The mass of magnesium used is 0.0400 g0.0400\ \text{g}.

I.

the amount, in mol, of magnesium used.

[1]
II.

the volume, in cm3\text{cm}^3, of dry hydrogen expected.

[3]
B

The student actually collects 38.6 cm338.6\ \text{cm}^3 of gas. one experimental reason, other than measurement uncertainty in mass, for the lower volume.

[2]
C

why hydrogen is expected to behave nearly ideally under these conditions.

[2]

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Question 37
SL • Paper 2
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SL • Paper 2
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A fixed amount of gas is placed in a sealed syringe at 300 K300\ \text{K}. The pressure is measured at different volumes.

A

The pressure is 124.7 kPa124.7\ \text{kPa} when the volume is 1.00 dm31.00\ \text{dm}^3.

I.

the amount of gas in the syringe.

[2]
II.

the pressure when the volume is increased to 2.50 dm32.50\ \text{dm}^3 at the same temperature.

[1]
B

, using the particle model, why the pressure decreases when the volume is increased at constant temperature.

[2]
C

one advantage and one limitation of using the plotted data rather than only a graph for this investigation.

[2]
Question 38
SL • Paper 2
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SL • Paper 2
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A sealed metal aerosol can contains a fixed amount of propellant gas. At 20.0 ∘C20.0\ ^\circ\text{C} the gas pressure inside the can is 100 kPa100\ \text{kPa}. The can volume is constant.

A

The can is heated to 50.0 ∘C50.0\ ^\circ\text{C}.

I.

why the combined gas law can be applied to this change.

[1]
II.

the pressure in the can at 50.0 ∘C50.0\ ^\circ\text{C}.

[2]
B

The can is designed to rupture at 125 kPa125\ \text{kPa}. the temperature, in ∘C^\circ\text{C}, at which rupture would be expected if the gas behaved ideally.

[2]
C

why using temperature in ∘C^\circ\text{C} directly in the combined gas law would give an invalid prediction.

[2]
Question 39
SL • Paper 2
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SL • Paper 2
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Helium, carbon dioxide and ammonia are stored separately in identical cylinders at the same temperature and pressure. The cylinders are then cooled and compressed.

A

the expected deviations from ideal gas behaviour for helium and ammonia under the cooled, compressed conditions.

I.

Identify which gas is expected to deviate more from ideal behaviour.

[1]
II.

your answer in terms of the ideal gas model.

[2]
B

why low temperature and high pressure both increase deviation from ideal behaviour.

[2]
C

one assumption of the ideal gas model that is least valid for carbon dioxide at high pressure.

[1]
Question 40
HL • Paper 1B
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HL • Paper 1B
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A fixed amount of gas in a rigid metal flask was cooled. The graph compares the measured pressure with the pressure predicted by the ideal gas equation.

A

Using the ideal gas model, the predicted pressure at 250 K250\ \text{K} if the pressure is 120 kPa120\ \text{kPa} at 300 K300\ \text{K}.

[2]
B

the measured pressure at 250 K250\ \text{K} with the ideal prediction.

[1]
C

the suitability of the ideal gas model for these data.

[2]

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Question 41
SL • Paper 2
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SL • Paper 2
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A volatile liquid is vaporized in a sealed 125 cm3125\ \text{cm}^3 flask at 100.0 ∘C100.0\ ^\circ\text{C}. After cooling, the mass of condensed liquid in the flask is found to be 0.246 g0.246\ \text{g}. The pressure of the vapour before cooling is 100.5 kPa100.5\ \text{kPa}.

A

Use the data to the molar mass of the volatile liquid.

I.

the amount, in mol, of vapour in the flask.

[3]
II.

the molar mass of the liquid.

[1]
B

The empirical formula of the liquid is CH2OCH_2O. its molecular formula.

[2]
C

two improvements to increase the reliability or accuracy of the molar mass determination.

[2]
Question 42
SL • Paper 2
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SL • Paper 2
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A sample of impure calcium carbonate is reacted with excess hydrochloric acid. The carbon dioxide produced is collected and measured at 25.0 ∘C25.0\ ^\circ\text{C} and 101 kPa101\ \text{kPa}. A 2.50 g2.50\ \text{g} sample produces 0.510 dm30.510\ \text{dm}^3 of carbon dioxide.

A

A 2.50 g2.50\ \text{g} sample produces 0.510 dm30.510\ \text{dm}^3 of carbon dioxide.

I.

the amount, in mol, of carbon dioxide produced.

[2]
II.

the percentage by mass of calcium carbonate in the sample.

[2]
B

the volume of carbon dioxide, in dm3\text{dm}^3, that would be produced at STP if the 2.50 g2.50\ \text{g} sample were pure calcium carbonate.

[2]
C

one reason why the measured volume in part (a) should not be compared directly with the STP volume in part (b) without calculation.

[1]
Question 43
HL • Paper 2
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HL • Paper 2
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A gaseous hydrocarbon is collected over water to its molar mass. The mass of gas collected is 0.134 g0.134\ \text{g}, the gas volume is 58.0 cm358.0\ \text{cm}^3, the temperature is 25.0 ∘C25.0\ ^\circ\text{C} and the total pressure is 101.6 kPa101.6\ \text{kPa}. The vapour pressure of water at 25.0 ∘C25.0\ ^\circ\text{C} is 3.17 kPa3.17\ \text{kPa}.

A

the molar mass of the hydrocarbon.

I.

the pressure of the dry hydrocarbon gas.

[1]
II.

the amount, in mol, of hydrocarbon gas.

[2]
III.

the molar mass of the hydrocarbon.

[2]
B

the effect on the calculated molar mass if the vapour pressure of water were not subtracted.

[2]
C

why the hydrocarbon may still not behave perfectly ideally in this experiment.

[1]
Question 44
HL • Paper 2
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HL • Paper 2
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In an experiment, carbon dioxide is generated and collected in a 250.0 cm3250.0\ \text{cm}^3 gas syringe at constant temperature. At RTP, one mole of gas occupies 24.0 dm3 mol−124.0\ \text{dm}^3\ \text{mol}^{-1}. A graph of mass lost by the reaction flask against gas volume is used to the molar mass of the gas.

A

At RTP, where the molar volume of a gas is 24.0 dm3 mol−124.0\ \text{dm}^3\ \text{mol}^{-1}, the best-fit line shows that 0.180 g0.180\ \text{g} of carbon dioxide corresponds to 100.0 cm3100.0\ \text{cm}^3 of gas.

I.

the amount, in mol, in 100.0 cm3100.0\ \text{cm}^3 of gas.

[2]
II.

Use the value from (a)(i) to the molar mass of the gas.

[2]
B

why a best-fit line is preferable to using one individual data point from the graph.

[2]
C

one systematic error that would make the calculated molar mass too high.

[1]

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Question 45
HL • Paper 2
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HL • Paper 2
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Sodium azide, NaN3NaN_3, can decompose rapidly to form sodium and nitrogen gas in an inflator. The simplified equation is:

2NaN3(s)→2Na(s)+3N2(g)2NaN_3(s)\to2Na(s)+3N_2(g)

A sealed test chamber of volume 12.0 dm312.0\ \text{dm}^3 contains nitrogen produced by decomposing 5.00 g5.00\ \text{g} of sodium azide. The gas temperature immediately after decomposition is 450 K450\ \text{K}.

A

A sealed test chamber of volume 12.0 dm312.0\ \text{dm}^3 contains nitrogen produced by decomposing 5.00 g5.00\ \text{g} of sodium azide. The gas temperature immediately after decomposition is 450 K450\ \text{K}.

I.

the amount, in mol, of sodium azide decomposed.

[1]
II.

the amount, in mol, of nitrogen gas produced.

[1]
III.

the pressure, in kPa\text{kPa}, due to the nitrogen gas.

[3]
B

two assumptions made when applying the ideal gas equation to the nitrogen immediately after decomposition.

[2]
C

why the pressure calculated in (a)(iii) may differ from the pressure measured in a real inflator.

[1]
Question 46
HL • Paper 2
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HL • Paper 2
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A 600 cm3600\ \text{cm}^3 sample of the mixture decreases to 420 cm3420\ \text{cm}^3 after treatment with excess aqueous potassium hydroxide. Carbon dioxide is removed completely by passing the mixture through excess aqueous potassium hydroxide. All gas volumes are measured at the same temperature and pressure unless stated otherwise.

A

A 600 cm3600\ \text{cm}^3 sample of the mixture decreases to 420 cm3420\ \text{cm}^3 after treatment with potassium hydroxide.

I.

the volume of carbon dioxide in the original mixture.

[1]
II.

the mole fraction of carbon dioxide in the original mixture.

[2]
III.

one assumption needed for the volume decrease to represent only carbon dioxide.

[1]
B

The remaining oxygen, volume 420 cm3420\ \text{cm}^3, is initially at 100 kPa100\ \text{kPa} and 298 K298\ \text{K}. It is compressed to 150 cm3150\ \text{cm}^3 and heated to 350 K350\ \text{K}. the final pressure.

[3]
C

why the calculation in (b) would be less reliable if the oxygen were compressed to a much smaller volume at low temperature.

[1]
Question 47
HL • Paper 2
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HL • Paper 2
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The quantity PV/(nRT)PV/(nRT) is equal to 1.001.00 for an ideal gas. A student measures this quantity for two real gases at 298 K298\ \text{K} as pressure is increased. The plotted values are hypothetical gas-phase data used to illustrate deviation from ideal behaviour.

A

Use the graph to the behaviour of methane and ammonia.

I.

Identify which gas behaves more ideally over the pressure range shown.

[1]
II.

the difference in behaviour in terms of intermolecular forces.

[2]
B

why increasing pressure generally increases deviation from ideal gas behaviour.

[2]
C

whether a mathematical correction for real gases is required by the ideal gas model in this syllabus context.

[3]
Question 48
HL • Paper 2
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HL • Paper 2
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A student uses a computer simulation to investigate a fixed amount of ideal gas. The simulation can hold either pressure, volume or temperature constant while the other variables are changed.

A

The student wants to test the relationship between pressure and absolute temperature.

I.

Identify the independent, dependent and controlled variables for a valid investigation.

[2]
II.

the expected graphical relationship for an ideal gas.

[1]
B

The student plots pressure against temperature in ∘C^\circ\text{C} and obtains a straight line that does not pass through the origin. this graph as evidence for the ideal gas model.

[3]
C

one advantage of using a simulation and one limitation compared with a laboratory experiment using real gases.

[1]

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S1.4 Counting particles, mass. The mole

S2.1 The ionic model