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A classroom experiment was set up to simulate the industrial extraction of zinc metal from an aqueous solution of zinc ions by electrolysis - VCE - SSCE Chemistry - Question 7 - 2009 - Paper 1

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A classroom experiment was set up to simulate the industrial extraction of zinc metal from an aqueous solution of zinc ions by electrolysis. In this experiment 150 m... show full transcript

Worked Solution & Example Answer:A classroom experiment was set up to simulate the industrial extraction of zinc metal from an aqueous solution of zinc ions by electrolysis - VCE - SSCE Chemistry - Question 7 - 2009 - Paper 1

Step 1

Write a half-equation for the oxidation reaction.

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Answer

In an electrolysis reaction involving zinc sulfate (ZnSO₄), zinc ions ( ext{Zn}^{2+} ext{(aq)}) are reduced to form zinc metal (Zn). The oxidation half-reaction occurs at the anode where water is oxidized. The half-equation for this reaction is:

ightarrow ext{O}_2 + 4 ext{H}^+ + 4e^-$$

Step 2

Calculate the electric current, in A, supplied to the cell during the electrolysis.

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Answer

To determine the electric current supplied during electrolysis, we can use the following steps:

  1. Calculate the moles of zinc produced:

    The molar mass of zinc (Zn) is approximately 65.4 g/mol. Thus, for 0.900 g of zinc:

    extmolesofZn=0.900extg65.4extg/mol=0.01376extmol ext{moles of Zn} = \frac{0.900 ext{ g}}{65.4 ext{ g/mol}} = 0.01376 ext{ mol}

  2. Determine the number of electrons transferred (n):

    From the half-reaction, each mole of Zn produces 2 moles of electrons:

    n=2imes0.01376extmol=0.02752extmolen = 2 imes 0.01376 ext{ mol} = 0.02752 ext{ mol e^-}

  3. Calculate the total charge (Q):

    Using Faraday's constant (F = 96500 C/mol), the total charge can be calculated as:

    Q=nimesF=0.02752extmol(96500extC/mol)=2656.00extCQ = n imes F = 0.02752 ext{ mol}(96500 ext{ C/mol}) = 2656.00 ext{ C}

  4. Calculate the current (I):

    The time (t) is given as 30.0 minutes (or 1800 seconds):

    I=Qt=2656extC1800exts=1.477extAI = \frac{Q}{t} = \frac{2656 ext{ C}}{1800 ext{ s}} = 1.477 ext{ A}

  5. Express the answer in appropriate significant figures:

    The final answer, rounded to three significant figures, is:

    I=1.48extAI = 1.48 ext{ A}

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