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Learners want to identify an unknown metal X using a standard half-cell, X | X²⁺ - NSC Physical Sciences - Question 8 - 2023 - Paper 2

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Learners want to identify an unknown metal X using a standard half-cell, X | X²⁺. They set up an electrochemical cell under standard conditions using two half-cells,... show full transcript

Worked Solution & Example Answer:Learners want to identify an unknown metal X using a standard half-cell, X | X²⁺ - NSC Physical Sciences - Question 8 - 2023 - Paper 2

Step 1

8.1 State the standard conditions under which this cell functions.

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Answer

The standard conditions for the electrochemical cell to function include:

  • A temperature of 25°C (298 K).
  • A pressure of 1 atm for gaseous reactants and products.
  • Concentrations of 1 M for all aqueous solutions.

Step 2

8.2 State ONE function of component Y.

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Answer

Component Y acts as a salt bridge, which allows for the flow of ions between the two half-cells, maintaining electrical neutrality and preventing the solutions from mixing.

Step 3

8.3 Identify X by means of a suitable calculation.

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Answer

Given the initial emf of 1.20 V, we use the Nernst equation to identify X:

E=E0RTnFlnQE = E^0 - \frac{RT}{nF} \ln Q

Since we know the standard potential for H⁺/H₂ is 0.00 V, and for the unknown metal half cell needs to be calculated:

  • Emf of the cell: 1.20 V = E^0(X) - 0.00 V.
  • Therefore, E^0(X) = 1.20 V.
  • By consulting the standard reduction potentials table, we can conclude that X is likely to be Pt (platinum) since it has a higher reduction potential compared to hydrogen.

Step 4

8.4 Write down the oxidation half-reaction that takes place in this cell.

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Answer

The oxidation half-reaction occurring at electrode X can be represented as:

X2++2eX(s)X^2+ + 2e^- \rightarrow X(s)

Step 5

8.5 Arrange the oxidising agents: X²⁺, Au³⁺ and H⁺, in order of increasing strength.

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Answer

In order of increasing strength, the oxidising agents can be arranged as follows:

  1. H⁺
  2. X²⁺
  3. Au³⁺

This is based on their standard reduction potentials, where Au³⁺ has the highest potential, making it the strongest oxidising agent.

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