5070/41

Chemistry 5070/41May/June 2014

Cambridge O-Level · Alternative to Practical · worked solutions for every part, with the mark scheme

9
questions
40
marks
60
minutes

Topics Experimental Contexts · Analysis, Conclusions and Evaluation · Qualitative Analysis · Observations and Measurements · Use of Techniques, Apparatus and Materials

Q18MExperimental ContextsObservations and MeasurementsAnalysis, Conclusions and EvaluationFree sample

A student determines the oxygen content of air using the apparatus shown.

Syringe A contains 90 cm390\text{ cm}^3 of air. The air is forced over heated copper into syringe B. The air is then forced back over the heated copper into syringe A.

The process is repeated several times until the volume of gas forced back into syringe A is constant. The apparatus is allowed to cool to room temperature.

The diagram below shows the volume of gas in syringe A after the experiment is finished.

(a)

Copper reacts with oxygen in the air to produce copper(II) oxide.

(i)

Construct the equation for this reaction.

______

1M
DifficultyEasy
Worked solution

Answer

2Cu+O22CuO2\text{Cu} + \text{O}_2 \rightarrow 2\text{CuO}
Final answer

2Cu + O2 -> 2CuO

Detailed explanation

Walkthrough

Copper reacts with diatomic oxygen gas (O2\text{O}_2) to form copper(II) oxide (CuO\text{CuO}).
Balancing the atoms on both sides requires 22 copper atoms reacting with 11 oxygen molecule to produce 22 formula units of copper(II) oxide:

2Cu+O22CuO2\text{Cu} + \text{O}_2 \rightarrow 2\text{CuO}

Key Takeaways

  • Copper(II) oxide has the formula CuO\text{CuO} because copper has a +2+2 oxidation state and oxide has a 2-2 charge (Cu2+\text{Cu}^{2+} and O2\text{O}^{2-}).
  • Oxygen in air exists as diatomic molecules, O2\text{O}_2.

Common Mistakes

  • Writing oxygen as atomic O\text{O} instead of O2\text{O}_2.
  • Writing incorrect formulae such as Cu2O\text{Cu}_2\text{O} or CuO2\text{CuO}_2.

Things to Be Careful About

  • Ensure both the copper and oxygen atoms balance on both sides.
Techniques used
write chemical formulaebalance the symbol equation
(ii)

What colour is copper(II) oxide?

______

1M
DifficultyEasy
Worked solution

Answer

black

Final answer

black

Detailed explanation

Walkthrough

Copper is a reddish-brown/pink metal. When it is heated in air, it oxidises to copper(II) oxide (CuO\text{CuO}), which is a black solid.

Key Takeaways

  • CuO\text{CuO} is black.
  • Cu2O\text{Cu}_2\text{O} is red/brown, but copper(II) oxide formed in excess air is black.

Common Mistakes

  • Confusing copper metal (pink/brown) or hydrated copper(II) salts (blue) with copper(II) oxide (black).

Things to Be Careful About

  • Give a clear, unambiguous colour term: black.
Techniques used
recall transition metal compound colour
(b)
(i)

What is the volume of gas remaining in syringe A?

______ cm3\text{cm}^3

1M
DifficultyEasy
Worked solution

Answer

72 cm372\text{ cm}^3

Final answer

72 cm3

Detailed explanation

Walkthrough

Looking at Fig. 1.2, the scale has major divisions every 20 cm320\text{ cm}^3 and subdivisions of 2 cm32\text{ cm}^3 (since there are 10 subdivisions between 60 and 80, each small division is 2010=2 cm3\frac{20}{10} = 2\text{ cm}^3).
The edge of the plunger aligns exactly one small division to the left of 70, which is 72 cm372\text{ cm}^3.

Key Takeaways

  • Determine the value of each subdivision on a scale before reading the value.
  • Read the position corresponding to the flat leading face of the plunger.

Common Mistakes

  • Miscounting the subdivisions (e.g. assuming each mark represents 1 cm31\text{ cm}^3 instead of 2 cm32\text{ cm}^3).

Things to Be Careful About

  • Ensure you read from the correct side of the scale (the gas volume is between 0 and the plunger face).
Techniques used
read a gas syringe scale
(ii)

Name the major component of the gas remaining in syringe A.

______

1M
DifficultyEasy
Worked solution

Answer

nitrogen

Final answer

nitrogen

Detailed explanation

Walkthrough

Clean, dry air is approximately 78%78\% nitrogen, 21%21\% oxygen, and 1%1\% argon/other gases. When oxygen is removed by reaction with copper, nitrogen remains as the unreactive major component (making up about four-fifths of the remaining gas).

Key Takeaways

  • Nitrogen is the main component of air (approx. 78%78\%) and is unreactive under these conditions.

Common Mistakes

  • Naming noble gases or carbon dioxide, which are only present in trace amounts compared to nitrogen.

Things to Be Careful About

  • The question asks to 'name' the gas, so write 'nitrogen' (or N2\text{N}_2).
Techniques used
recall composition of air
(iii)

Calculate the volume of oxygen that reacts with the copper.

______ cm3\text{cm}^3

1M
DifficultyEasy
Worked solution

Working

volume of oxygen=initial volume of airfinal volume of gas=9072=18 cm3\begin{aligned} \text{volume of oxygen} &= \text{initial volume of air} - \text{final volume of gas} \\ &= 90 - 72 \\ &= 18\text{ cm}^3 \end{aligned}

Answer

18 cm318\text{ cm}^3

Final answer

18 cm3

Detailed explanation

Walkthrough

The initial volume of air in syringe A was 90 cm390\text{ cm}^3.
The volume of gas remaining after complete reaction was 72 cm372\text{ cm}^3.
The decrease in volume corresponds to the volume of oxygen gas consumed by the copper:

90 cm372 cm3=18 cm390\text{ cm}^3 - 72\text{ cm}^3 = 18\text{ cm}^3

Key Takeaways

  • The contraction in air volume during this experiment equals the volume of oxygen that reacted.

Common Mistakes

  • Using 100 cm3100\text{ cm}^3 as the starting volume instead of reading the stem value (90 cm390\text{ cm}^3).

Things to Be Careful About

  • Ensure error carried forward (ecf) is applied if an incorrect value was recorded in part (b)(i).
Techniques used
calculate volume change
(iv)

Using your answer to (b)(iii), calculate the number of moles of oxygen that react with the copper.
[One mole of a gas occupies 24000 cm324\,000\text{ cm}^3 at room temperature and pressure.]

______ moles

1M
DifficultyMedium-Easy
Worked solution

Working

moles of O2=volume in cm324000=1824000=0.00075 moles\begin{aligned} \text{moles of } \text{O}_2 &= \frac{\text{volume in } \text{cm}^3}{24\,000} \\ &= \frac{18}{24\,000} \\ &= 0.00075\text{ moles} \end{aligned}

Answer

0.00075 moles0.00075\text{ moles}

Final answer

0.00075 moles

Detailed explanation

Walkthrough

To find the number of moles of a gas from its volume at room temperature and pressure (r.t.p.):

moles=volume of gas in cm3molar gas volume in cm3\text{moles} = \frac{\text{volume of gas in } \text{cm}^3}{\text{molar gas volume in } \text{cm}^3}

Given that 1 mole1\text{ mole} occupies 24000 cm324\,000\text{ cm}^3:

moles of O2=1824000=0.00075 moles\text{moles of } \text{O}_2 = \frac{18}{24\,000} = 0.00075\text{ moles}

(or 7.5×104 moles7.5 \times 10^{-4}\text{ moles}).

Key Takeaways

  • Number of moles of gas at r.t.p. = V (in cm3)24000\frac{V\text{ (in }\text{cm}^3\text{)}}{24\,000} or V (in dm3)24\frac{V\text{ (in }\text{dm}^3\text{)}}{24}.

Common Mistakes

  • Dividing by 2424 directly without converting the volume from cm3\text{cm}^3 to dm3\text{dm}^3.

Things to Be Careful About

  • Count the leading zeros carefully in decimal notation (0.000750.00075).
Techniques used
convert gas volume to moles
(v)

Using your equation in (a)(i) and your answer to (b)(iv) calculate the mass of copper that reacts with the oxygen.
[ArA_r: Cu\text{Cu}, 64]

______ g\text{g}

1M
DifficultyMedium-Easy
Worked solution

Working

From the equation 2Cu+O22CuO2\text{Cu} + \text{O}_2 \rightarrow 2\text{CuO}, the mole ratio is Cu:O2=2:1\text{Cu} : \text{O}_2 = 2 : 1.

moles of Cu=2×moles of O2=2×0.00075=0.0015 moles\begin{aligned} \text{moles of } \text{Cu} &= 2 \times \text{moles of } \text{O}_2 \\ &= 2 \times 0.00075 \\ &= 0.0015\text{ moles} \end{aligned} mass of Cu=moles×Ar=0.0015×64=0.096 g\begin{aligned} \text{mass of } \text{Cu} &= \text{moles} \times A_r \\ &= 0.0015 \times 64 \\ &= 0.096\text{ g} \end{aligned}

Answer

0.096 g0.096\text{ g}

Final answer

0.096 g

Detailed explanation

Walkthrough

  1. Use the stoichiometric ratio from the balanced equation 2Cu+O22CuO2\text{Cu} + \text{O}_2 \rightarrow 2\text{CuO}:
    1 mole of O21\text{ mole of } \text{O}_2 reacts with 2 moles of Cu2\text{ moles of } \text{Cu}.
moles of Cu=2×0.00075 mol=0.0015 mol\text{moles of } \text{Cu} = 2 \times 0.00075\text{ mol} = 0.0015\text{ mol}
  1. Calculate the mass of copper using mass=moles×Ar\text{mass} = \text{moles} \times A_r:
mass=0.0015 mol×64 g / mol=0.096 g\text{mass} = 0.0015\text{ mol} \times 64\text{ g / mol} = 0.096\text{ g}

Key Takeaways

  • Always use the mole ratio from the balanced chemical equation before calculating reacting masses.
  • mass=moles×Ar\text{mass} = \text{moles} \times A_r (or MrM_r).

Common Mistakes

  • Forgetting the 2:12:1 molar ratio and assuming moles of Cu=moles of O2\text{moles of Cu} = \text{moles of } \text{O}_2.

Things to Be Careful About

  • Ensure correct relative atomic mass (Ar=64A_r = 64) is used for Cu\text{Cu}.
Techniques used
apply mole ratios from a balanced equationconvert moles to mass using Ar
(c)

In another experiment 60 cm360\text{ cm}^3 of oxygen is required to react with all the copper.
Calculate the volume of air required to provide this volume of oxygen.

______ cm3\text{cm}^3

1M
DifficultyMedium-Easy
Worked solution

Working

From the experiment, 90 cm390\text{ cm}^3 of air contains 18 cm318\text{ cm}^3 of oxygen (20%20\% oxygen by volume):

fraction of oxygen=1890=0.20 (or 20%)volume of air=600.20=300 cm3\begin{aligned} \text{fraction of oxygen} &= \frac{18}{90} = 0.20 \text{ (or } 20\%\text{)} \\ \text{volume of air} &= \frac{60}{0.20} \\ &= 300\text{ cm}^3 \end{aligned}

Answer

300 cm3300\text{ cm}^3

Final answer

300 cm3

Detailed explanation

Walkthrough

From parts (b)(i) and (b)(iii), 90 cm390\text{ cm}^3 of air provides 18 cm318\text{ cm}^3 of oxygen.
This means oxygen represents:

18 cm390 cm3=15=20% of the air by volume\frac{18\text{ cm}^3}{90\text{ cm}^3} = \frac{1}{5} = 20\% \text{ of the air by volume}

To find the volume of air needed to supply 60 cm360\text{ cm}^3 of oxygen:

volume of air=60 cm3×5=300 cm3\text{volume of air} = 60\text{ cm}^3 \times 5 = 300\text{ cm}^3

Key Takeaways

  • Air is approximately 20%20\% to 21%21\% oxygen by volume.
  • Scaling the volume of oxygen back to the total volume of air requires dividing by the volume fraction of oxygen (or multiplying by the reciprocal ratio 9018\frac{90}{18}).

Common Mistakes

  • Multiplying 6060 by 0.200.20 (12 cm312\text{ cm}^3) instead of dividing by 0.200.20.

Things to Be Careful About

  • The volume of air must be greater than the volume of oxygen required.
Techniques used
calculate volume from percentage composition

The rest of this paper

8 more questions
  • Q2Qualitative Analysis · Experimental Contexts · Use of Techniques, Apparatus and Materials12M
  • Q3Analysis, Conclusions and Evaluation1M
  • Q4Qualitative Analysis1M
  • Q5Experimental Contexts1M
  • Q6Analysis, Conclusions and Evaluation1M
  • Q7Observations and Measurements · Experimental Contexts · Qualitative Analysis · Use of Techniques, Apparatus and Materials · Analysis, Conclusions and Evaluation16M
  • Q8Qualitative Analysis8M
  • Q9Experimental Contexts · Analysis, Conclusions and Evaluation12M
Loading the full paper…