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QUESTION 9 (Start on a new page.) The simplified diagram below represents an electrolytic cell used to purify copper.

Chemistry

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3 parts
9.4

REMAIN THE SAME\text{REMAIN THE SAME}

9.5

NO\text{NO}

9.6

2.90 A2.90 \text{ A}

Step-by-step solution

5 steps

Here are the solutions to Question 9:

Part 9.1

Electrolysis is the process of using electrical energy to drive a non-spontaneous chemical reaction.

Part 9.2

Electrode T consists of pure copper.
Reason: In electrolytic refining, the pure metal is deposited at the cathode, which is connected to the negative terminal of the power supply (electrode T).

Part 9.3

Electrode R is the anode (connected to the positive terminal). At the anode, oxidation occurs. Since R is the impure copper, copper metal from the impure electrode will be oxidized.

Cu(s)→Cu2+(aq)+2e−\text{Cu}(s) \to \text{Cu}^{2+}(aq) + 2\text{e}^-

Part 9.4

REMAIN THE SAME\text{REMAIN THE SAME}

The concentration of the electrolyte CuSO4(aq)\text{CuSO}_4(aq) will REMAIN THE SAME\boxed{\text{REMAIN THE SAME}}.
Reason: At the anode (R), copper metal oxidizes to form Cu2+\text{Cu}^{2+} ions, increasing the concentration of Cu2+\text{Cu}^{2+} in the solution. At the cathode (T), Cu2+\text{Cu}^{2+} ions from the solution are reduced and deposited as copper metal, decreasing the concentration of Cu2+\text{Cu}^{2+}. In an ideal electrolytic refining process, the rate of Cu2+\text{Cu}^{2+} formation at the anode is equal to the rate of Cu2+\text{Cu}^{2+} consumption at the cathode, thus maintaining a constant concentration of Cu2+\text{Cu}^{2+} in the electrolyte.

Part 9.5

NO\text{NO}

The presence of zinc ions will NO\boxed{\text{NO}}T influence the quality of the refined copper.
Reason: At the anode, both Cu\text{Cu} and Zn\text{Zn} (impurity) will oxidize to form Cu2+\text{Cu}^{2+} and Zn2+\text{Zn}^{2+} ions in the solution. At the cathode, both Cu2+\text{Cu}^{2+} and Zn2+\text{Zn}^{2+} ions are present. However, Cu2+\text{Cu}^{2+} ions are stronger oxidizing agents (E∘=+0.34 VE^\circ = +0.34 \text{ V}) than Zn2+\text{Zn}^{2+} ions (E∘=−0.76 VE^\circ = -0.76 \text{ V}). Therefore, Cu2+\text{Cu}^{2+} ions will be preferentially reduced and deposited as pure copper on the cathode, while Zn2+\text{Zn}^{2+} ions will remain in the solution.

Part 9.6

2.90 A2.90 \text{ A}

  1. Convert time to seconds.

    t=30 minutes×60 s/minute=1800 st = 30 \text{ minutes} \times 60 \text{ s/minute} = 1800 \text{ s}
  2. Calculate the moles of copper deposited.

    The molar mass of copper (Cu\text{Cu}) is 63.55 g/mol63.55 \text{ g/mol}.

    nCu=massmolar mass=1.72 g63.55 g/mol≈0.027065 moln_{\text{Cu}} = \frac{\text{mass}}{\text{molar mass}} = \frac{1.72 \text{ g}}{63.55 \text{ g/mol}} \approx 0.027065 \text{ mol}
  3. Determine the moles of electrons transferred.

    The half-reaction at the cathode is Cu2+(aq)+2e−→Cu(s)\text{Cu}^{2+}(aq) + 2\text{e}^- \to \text{Cu}(s).
    From the stoichiometry, 2 mol2 \text{ mol} of electrons are required for every 1 mol1 \text{ mol} of Cu\text{Cu} deposited.

    ne−=nCu×2=0.027065 mol×2=0.05413 mol e−n_{\text{e}^-} = n_{\text{Cu}} \times 2 = 0.027065 \text{ mol} \times 2 = 0.05413 \text{ mol e}^-
  4. Calculate the total charge (QQ) transferred.

    Using Faraday's constant (F=96485 C/mol e−F = 96485 \text{ C/mol e}^-):

    Q=ne−×F=0.05413 mol e−×96485 C/mol e−≈5222.8 CQ = n_{\text{e}^-} \times F = 0.05413 \text{ mol e}^- \times 96485 \text{ C/mol e}^- \approx 5222.8 \text{ C}
  5. Calculate the current (II) using the formula Q=I×tQ = I \times t.

    I=Qt=5222.8 C1800 s≈2.9016 AI = \frac{Q}{t} = \frac{5222.8 \text{ C}}{1800 \text{ s}} \approx 2.9016 \text{ A}

    The reading on the ammeter is 2.90 A\boxed{2.90 \text{ A}}.

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