Purification of copper can be achieved by electrorefining copper from an impure copper anode onto a pure copper cathode in an electrolytic cell. How many hours will it take to plate 18.5 kg of copper onto the cathode if the current passed through the cell is held constant at 40.5 A? Assume the copper in the electrolytic solution is present as Cu² +. time: h * TOOLS

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**Electrorefining of Copper – Educational Guide**

**Question:**

Purification of copper can be achieved by electrorefining copper from an impure copper anode onto a pure copper cathode in an electrolytic cell. How many hours will it take to plate 18.5 kg of copper onto the cathode if the current passed through the cell is held constant at 40.5 A? Assume the copper in the electrolytic solution is present as Cu\(^{2+}\).

**Fill in the answer:**

<!-- Input Field for Time Calculation -->
**time:**  \[ \underline{\hspace{5cm}} \] **h**

---

### Explanation and Tools

1. **Electrolytic Cell Basics:**
    - An electrolytic cell uses an electric current to drive a non-spontaneous chemical reaction.
    - In this case, copper is purified by transferring Cu\(^{2+}\) ions from an impure copper anode to a pure copper cathode.

2. **Faraday's Laws of Electrolysis:**
    - To determine the time needed to plate a specific amount of copper, we use Faraday's laws.
    - The mass (\(m\)) of the substance deposited at an electrode is given by: 
    \[
    m = \frac{M \cdot I \cdot t}{n \cdot F}
    \]
    - Where:
        - \(M\) is the molar mass of the substance,
        - \(I\) is the current,
        - \(t\) is the time in seconds,
        - \(n\) is the number of electrons transferred,
        - \(F\) is Faraday's constant (\(96500 \, \text{Coulombs/mol}\)).

3. **Given Values:**
    - \(m = 18.5 \, \text{kg} = 18500 \, \text{g}\) (mass of copper to be plated)
    - \(I = 40.5 \, \text{A}\)
    - \(M = 63.5 \, \text{g/mol}\) (molar mass of copper)
    - \(n = 2\) (since \(\text{Cu}^{2+}\) involves transfer of 2 electrons)

4. **Equation for Time (t):**
 \[
 t = \frac{m \
Transcribed Image Text:**Electrorefining of Copper – Educational Guide** **Question:** Purification of copper can be achieved by electrorefining copper from an impure copper anode onto a pure copper cathode in an electrolytic cell. How many hours will it take to plate 18.5 kg of copper onto the cathode if the current passed through the cell is held constant at 40.5 A? Assume the copper in the electrolytic solution is present as Cu\(^{2+}\). **Fill in the answer:** <!-- Input Field for Time Calculation --> **time:** \[ \underline{\hspace{5cm}} \] **h** --- ### Explanation and Tools 1. **Electrolytic Cell Basics:** - An electrolytic cell uses an electric current to drive a non-spontaneous chemical reaction. - In this case, copper is purified by transferring Cu\(^{2+}\) ions from an impure copper anode to a pure copper cathode. 2. **Faraday's Laws of Electrolysis:** - To determine the time needed to plate a specific amount of copper, we use Faraday's laws. - The mass (\(m\)) of the substance deposited at an electrode is given by: \[ m = \frac{M \cdot I \cdot t}{n \cdot F} \] - Where: - \(M\) is the molar mass of the substance, - \(I\) is the current, - \(t\) is the time in seconds, - \(n\) is the number of electrons transferred, - \(F\) is Faraday's constant (\(96500 \, \text{Coulombs/mol}\)). 3. **Given Values:** - \(m = 18.5 \, \text{kg} = 18500 \, \text{g}\) (mass of copper to be plated) - \(I = 40.5 \, \text{A}\) - \(M = 63.5 \, \text{g/mol}\) (molar mass of copper) - \(n = 2\) (since \(\text{Cu}^{2+}\) involves transfer of 2 electrons) 4. **Equation for Time (t):** \[ t = \frac{m \
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