What is the moles of copper formed when a current of copper 0.5A is passed through a copper sulphate for 35 minutes

Physics

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Answer

0.005441 mol\text{0.005441 mol}

Step-by-step solution

4 steps
  1. Convert the time from minutes to seconds.

    t=35 minutes×60 seconds1 minute=2100 secondst = 35 \text{ minutes} \times \frac{60 \text{ seconds}}{1 \text{ minute}} = 2100 \text{ seconds}
  2. Calculate the total quantity of charge (QQ) passed using the formula Q=I×tQ = I \times t.

    Q=0.5 A×2100 sQ = 0.5 \text{ A} \times 2100 \text{ s} Q=1050 CQ = 1050 \text{ C}
  3. Determine the moles of electrons (nen_e) transferred using Faraday's constant (F=96485 C/mol e−F = 96485 \text{ C/mol e}^-).

    ne=QFn_e = \frac{Q}{F} ne=1050 C96485 C/mol e−n_e = \frac{1050 \text{ C}}{96485 \text{ C/mol e}^-} ne≈0.010882 mol e−n_e \approx 0.010882 \text{ mol e}^-
  4. Use the stoichiometry of the copper deposition reaction to find the moles of copper formed.

    The reduction of copper ions is: Cu2++2e−→Cu\text{Cu}^{2+} + 2\text{e}^- \to \text{Cu}
    This means 2 moles of electrons are required to deposit 1 mole of copper.

    Moles of Cu=Moles of e−2\text{Moles of Cu} = \frac{\text{Moles of e}^-}{2} Moles of Cu=0.010882 mol e−2\text{Moles of Cu} = \frac{0.010882 \text{ mol e}^-}{2} Moles of Cu≈0.005441 mol\text{Moles of Cu} \approx 0.005441 \text{ mol}

    The moles of copper formed is 0.005441 mol\text{0.005441 mol}.

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