Edexcel A-Level Chemistry AS Paper 2, June 2017: Question 5

12 marks · Medium difficulty · Calculations

Calculate the molar mass and percentage uncertainties of a gas using experimental data obtained with a gas syringe, and determine the effects of temperature changes and leaks.

Practise this question

Question

An exam question with multiple parts about determining the molar mass of a gas using a gas syringe. Part (a) asks for the definition of molar volume of a gas. Part (b) details an experiment with a 50 cm3 syringe, including a table of results for volume and mass, and asks to calculate percentage uncertainties, evaluate syringe size changes, calculate molar mass, and explain the effect of leaks. Parts (c) and (d) ask about the effect of temperature changes and why the gas should be dry.
Question text

5 (a) State what is meant by the term molar volume of a gas.

(1)

(b) The following steps were carried out by a student to find the molar mass of a gas. The

experiment was carried out at 20 oC and one atmosphere pressure. The dry gas was

supplied in a plastic bag fitted with a self-sealing device. The student had a choice of

two different gas syringes. The student decided to use a 50 cm3 syringe.

Step 1. The 50 cm3 syringe was fitted with a needle and then emptied of air by

pushing in the plunger to zero. The needle was sealed by pushing the

needle into a rubber bung and the syringe and bung were then weighed

on a balance.

Step 2. The syringe was checked for leaks by pulling the plunger out by about

10 cm3 for a few seconds before releasing it.

Step 3. The rubber bung was removed from the needle which was then inserted

through the self-sealing device in the plastic bag of the dry gas.

Step 4. 50 cm3 of the dry gas was withdrawn from the plastic bag into the syringe

and the needle resealed with the same rubber bung used in step 1.

Step 5. The syringe and rubber bung were then reweighed on the balance.

Results

volume of gas used 50 cm3

initial mass of empty syringe 107.563 g

final mass of syringe + gas 107.655 g

(i) The gas syringe has a total uncertainty of ±0.5 cm3.

Each reading on the balance has an uncertainty of ±0.0005 g.

Calculate the percentage uncertainty in the measurement of the volume and

mass of gas used in this procedure.

(2)

(ii) The student repeated the experiment with 100 cm3 of the gas using a

100 cm3 syringe.

The total uncertainty for this larger syringe was also ±0.5 cm3.

Determine the effect, if any, on the volume and mass uncertainties.

(2)

… *P49857A01024*

(iii) Calculate the molar mass of the gas used in the procedure outlined in part (b).

You may assume that one mole of gas occupies 24 000 cm3 under these

conditions.

Give your answer to an appropriate number of significant figures and include

units in your answer.

(2)

(iv) Explain how the student would know if the syringe had a leak in step 2 and

what effect this leak would have on the molar mass determined in part (b)(iii).

(2)

(c) If the temperature had been less than 20 °C and the pressure remained at one*P49857A01124*

atmosphere, deduce the effect, if any, on the molar mass calculated in part (b)(iii).

(2)

(d) Give a reason why the gas should be dry.

(1)

(Total for Question 5 = 12 marks)

Mark scheme

Show the mark scheme The mark scheme providing the acceptable answers and marking points for all parts of Question 5, totalling 12 marks. It includes calculations for percentage uncertainties, molar mass with units, and explanatory points regarding leaks, temperature variations, and moisture.

Question

Acceptable Answer Additional Guidance Mark

Number

5(a) an answer that makes reference to the following point: temp and pressure need not be (1)

s.t.p. or r.t.p.

volume/space occupied by one mole of a gas at a

specified temperature and pressure/rtp/stp/standard ignore just reference to

conditions 22.4 or 24 dm3

Ignore units of volume, if given.

Question

Acceptable Answer Additional Guidance Mark

Number

5(b)(i) example of calculation (2)

(% volume uncertainty =)1% (1) 0.5 cm3 in 50 cm3

% uncertainty = 0.5 x 100 = 1%

(% mass uncertainty =)1/1.1/1.09/1.08696 % (1) mass of gas = 107.655 – 107.563

= 0.092 g

uncertainty = 0.0005 x 2

0.001 g in 0.092 g

% uncertainty = 0.001 x 100

0.092

= 1/1.1/1.09/1.08696 %

Ignore uncertainties added together

Do not award calculation of

uncertainty in each mass reading

(often added together +1) eg

0.0004644 + 0.0004648 + 1 =

1.000928

Question

Acceptable Answer Additional Guidance Mark

Number

5(b)(ii) an answer that makes reference to the following points: (2)

halves the % volume uncertainty /0.5 cm3 in 100 cm3 = TE for answer to (b)(i) ÷ 2

0.5% (1)

(volume of gas is doubled so mass of gas doubles), % TE for answer to (b)(i) ÷ 2

mass uncertainty (also) halves. (1)

Allow 1 mark for both uncertainties

decrease

Question

Acceptable Answer Additional Guidance Mark

Number

5(b)(iii) example of calculation (2)

mass of gas and expression for molar mass (1) mass of gas =

107.655 – 107.563 = 0.092 g

and

molar mass = 0.092 x 24000 /50

= 44.16

Allow any other correct alternative

calculation

TE from M1 to M2 for incorrect mass

molar mass to 2 or 3 SF and correct units (1) only

44.2/44 g mol-1

Correct answer to 2/3 SF

with/without working gets 2 marks

Question

Acceptable Answer Additional Guidance Mark

Number

5(b)(iv) an explanation that makes reference to the following Mark independently (2)

points:

plunger does not return (to zero/original position)

when released (1)

molar mass will decrease because ‘air’ has a lower There must be some reference to air

molar mass (than 44/carbon dioxide) (1)

Question Acceptable Answer Additional Guidance Mark

Number

5(c) An answer that makes reference to the following Points to be marked independently (2)

points:

the calculated molar mass would be greater (1) Standalone mark

at a lower temperature there would be more Do not award for answers that refer

molecules/moles/mass in the same volume to smaller volume

/density is greater. (1)

Ignore smaller molar volume

Ignore particles/molecules/atoms

closer together

Question

Acceptable Answer Additional Guidance Mark

Number

5(d) an answer that makes reference to the following point: (1)

water (vapour) would decrease/affect molar mass Ignore gas may dissolve in water

OR

gas is now a mixture so would decrease/affect molar Do not award water may react with

mass gas in syringe

Do not award wet gas is heavier

Ignore answers that refer to molar

volume

(Total for Question 5 = 12 marks)

How to answer it

Determining Molar Mass Using a Gas Syringe

What this question tests

This multi-part practical question assesses core AS Chemistry competencies: defining key physical chemistry terms, calculating percentage uncertainties in apparatus readings, analysing the impact of equipment scaling, executing molar mass stoichiometry calculations, and evaluating experimental errors such as leaks, temperature fluctuations, and moisture contamination.

Part (a) — Terminology

Definition of Molar Volume

✅ Correct Answer

The volume occupied by one mole of a gas at a specified temperature and pressure (e.g., room temperature and pressure, standard temperature and pressure, or specified conditions).

❌ Common Errors

Students often forget to qualify the definition with "at a specified temperature and pressure". Gas volumes vary significantly with changing conditions, so mentioning the conditions is essential for the mark.

Mark: 1 mark
Part (b)(i) — Uncertainty Calculations

Percentage Uncertainties in Volume and Mass

📐 Step-by-Step Calculation

  1. Volume uncertainty:
    Apparatus uncertainty = ±0.5 cm³.
    Reading taken = 50 cm³.
    Percentage uncertainty = (0.5 / 50) × 100 = 1%
  2. Mass uncertainty:
    Mass of gas = final mass - initial mass = 107.655 g - 107.563 g = 0.092 g .
    A balance reading has an uncertainty of ±0.0005 g. Because two readings are taken (empty syringe and syringe + gas), the total mass uncertainty is 0.0005 g × 2 = 0.001 g .
    Percentage uncertainty = (0.001 / 0.092) × 100 = 1.09% (or 1.1%).

🧠 Exam Technique & Traps

  • The Balance Trap: Remember that electronic balances involve two separate weighings, meaning you must multiply the instrument tolerance by 2.
  • Addition Trap: Examiners heavily penalise students who add absolute uncertainties together incorrectly instead of calculating the percentage uncertainty of the final derived value.
Marks: 2 marks (1 for volume %, 1 for mass %)
Part (b)(ii) — Scaling Up Equipment

Effect of Using a 100 cm³ Syringe

💡 Key Knowledge

When you double the volume of gas used to 100 cm³, both the measured volume and the mass of the gas double proportionally.

✅ Correct Answer

Volume uncertainty: Halves to 0.5% (because 0.5 cm³ / 100 cm³ × 100).

Mass uncertainty: Also halves, because the mass of gas collected doubles while the absolute balance uncertainty remains fixed at ±0.001 g.

Marks: 2 marks
Part (b)(iii) — Molar Mass Calculation

Calculating Molar Mass from Experimental Data

📐 Step-by-Step Calculation

  1. Find mass of gas:
    107.655 g - 107.563 g = 0.092 g
  2. Use molar volume relationship:
    24 000 cm³ = 1 mol
    Moles of gas = 50 / 24 000 = 0.002083 mol
  3. Calculate molar mass (M = m / n):
    Molar mass = 0.092 g / (50 / 24000 cm³) = 44.16 g mol⁻¹
  4. Apply Significant Figures & Units:
    Round to 2 or 3 significant figures: 44 g mol⁻¹ or 44.2 g mol⁻¹ .

🧠 Top-Level Guidance

Alternative correct route: M = (mass / volume) × molar volume → (0.092 / 50) × 24000 = 44.16 g mol⁻¹ . Always check if the question requests specific significant figures; here, 2 or 3 SF is required along with explicit units ( g mol⁻¹ ).

Marks: 2 marks (1 for calculation/mass, 1 for 2–3 SF + units)
Part (b)(iv) — Error Analysis (Leaks)

Identifying and Evaluating Leaks

✅ Correct Answer

How to spot: The plunger does not return to zero (or its original starting position) when released during the leak check in Step 2.

Effect on molar mass: The calculated molar mass will decrease because air entered the syringe. Air has an average molar mass of ~29 g mol⁻¹, which is lower than the pure gas (44 g mol⁻³ / CO₂ equivalent), lowering the average mass per mole.

❌ Common Errors

Students often state the plunger "moves" without specifying where it moves or failing to link the lower molar mass of air to the final calculated value.

Marks: 2 marks
Part (c) — Temperature Variations

Effect of Lower Temperature on Molar Mass

💡 Key Knowledge

According to the Ideal Gas Law (or general gas behaviour), lowering the temperature at constant pressure causes a given mass of gas to occupy a smaller volume, or conversely, packs more molecules into a fixed volume.

✅ Correct Answer

1. The calculated molar mass would be greater.
2. Reason: At a lower temperature, more molecules/moles/mass are present in the same measured volume (density is greater), meaning you calculate an inflated mass per mole.

Marks: 2 marks
Part (d) — Moisture Control

Why the Gas Must Be Dry

✅ Correct Answer

Water vapour would be present, turning the gas into a mixture, which would decrease or affect the overall measured molar mass.

❌ Common Errors

Do not state that "water reacts with the gas inside the syringe" unless specified, nor should you mention that wet gas is heavier. Focus purely on mixture composition and partial pressures of water vapour.

Mark: 1 mark

Topics

Physical Chemistry · Core Practicals · Topic 5: Formulae, Equations and Amounts of Substance · Core Practical 1: Measuring the molar volume of a gas

Question and mark scheme from the Edexcel A-Level Chemistry examination, AS Paper 2, June 2017. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.