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The electrochemical cell represented by the cell notation below is used to investigate the relationship between the concentration of $X^{2+}(aq)$ and the emf of the cell - NSC Physical Sciences - Question 8 - 2017 - Paper 2

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The electrochemical cell represented by the cell notation below is used to investigate the relationship between the concentration of $X^{2+}(aq)$ and the emf of the... show full transcript

Worked Solution & Example Answer:The electrochemical cell represented by the cell notation below is used to investigate the relationship between the concentration of $X^{2+}(aq)$ and the emf of the cell - NSC Physical Sciences - Question 8 - 2017 - Paper 2

Step 1

8.1.1 Dependent variable

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Answer

The dependent variable in this investigation is the electromotive force (emf) of the cell, which varies with the concentration of X2+(aq)X^{2+}(aq).

Step 2

8.1.2 Name of an instrument needed to measure the emf of the cell

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Answer

A voltmeter or multimeter is required to measure the emf of the cell.

Step 3

8.1.3 Name of the component of the cell that ensures electrical neutrality

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Answer

The salt bridge ensures electrical neutrality within the electrochemical cell.

Step 4

8.1.4 Values of TWO standard conditions needed to ensure that the standard emf is obtained

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Answer

The standard conditions required are:

  • Temperature: 25 °C or 298 K
  • Concentration: 1 mol·dm⁻³ for all ionic species.

Step 5

8.2 Write down the conclusion that can be drawn from the results

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The graph indicates that the emf increases as the concentration of the oxidizing agent, X2+(aq)X^{2+}(aq), increases. This relationship shows that the emf is directly proportional to the concentration of X2+(aq)X^{2+}(aq).

Step 6

8.3 Identify electrode X with the aid of a calculation

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To identify electrode X, we can utilize the Nernst equation:

E = E^{ ext{o}} - rac{RT}{nF} ext{ln} rac{[X^{2+}]}{[Zn^{2+}]}

Given E^{ ext{o}} (standard electrode potential) values and measurements from the graph, we can solve for the concentration when the emf reaches certain values. Based on the values, we determine that XX corresponds to Copper (Cu), where the half-reaction at the cathode is: [ Cu^{2+}(aq) + 2e^- \rightarrow Cu(s) ]

Step 7

8.4 Write down the overall (net) cell reaction that takes place when this cell is in operation

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Answer

The overall cell reaction can be summarized as follows:

Zn(s)+Cu2+(aq)Zn2+(aq)+Cu(s)Zn(s) + Cu^{2+}(aq) \rightarrow Zn^{2+}(aq) + Cu(s)

This reflects the transfer of electrons from zinc to copper ions.

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