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Answer

0.2964 g\text{0.2964 g}

Step-by-step solution

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Here's the solution to the problem with explanations in English:

  1. Convert the given time from minutes to seconds.

    t=10 min×60 s1 min=600 st = 10 \text{ min} \times \frac{60 \text{ s}}{1 \text{ min}} = 600 \text{ s}
  2. Calculate the total charge (QQ) passed.

    Q=I×tQ = I \times t

    Where II is the current and tt is the time.

    Q=1.5 A×600 s=900 CQ = 1.5 \text{ A} \times 600 \text{ s} = 900 \text{ C}
  3. Write the half-reaction for the deposition of copper at the cathode.

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

    This reaction shows that 2 moles of electrons are required to deposit 1 mole of copper (Cu).

  4. Calculate the moles of copper deposited.

    Faraday's constant (FF) is 96485 C/mol e−96485 \text{ C/mol e}^-.
    Moles of electrons (nen_e) = QF\frac{Q}{F}

    ne=900 C96485 C/mol e−≈0.009328 mol e−n_e = \frac{900 \text{ C}}{96485 \text{ C/mol e}^-} \approx 0.009328 \text{ mol e}^-

    Since 2 moles of electrons deposit 1 mole of copper, the moles of copper deposited (nCun_{\text{Cu}}) will be:

    nCu=ne2=0.009328 mol e−2≈0.004664 moln_{\text{Cu}} = \frac{n_e}{2} = \frac{0.009328 \text{ mol e}^-}{2} \approx 0.004664 \text{ mol}
  5. Calculate the mass of copper deposited.

    The molar mass of copper is 63.5 g/mol63.5 \text{ g/mol}.
    Mass (mm) = Moles ×\times Molar mass

    m=0.004664 mol×63.5 g/mol≈0.2964 gm = 0.004664 \text{ mol} \times 63.5 \text{ g/mol} \approx 0.2964 \text{ g}

    The mass of copper deposited at the cathode is:

    0.2964 g\text{0.2964 g}
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