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A fuel cell is set up based on the oxidation of methane - VCE - SSCE Chemistry - Question 6 - 2004 - Paper 1

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A fuel cell is set up based on the oxidation of methane. Again, the equation for the anode half reaction is $$CH_4(g) + 2H_2O(l) \rightarrow CO_2(g) + 8H^+(aq) + 8e... show full transcript

Worked Solution & Example Answer:A fuel cell is set up based on the oxidation of methane - VCE - SSCE Chemistry - Question 6 - 2004 - Paper 1

Step 1

Calculate the total charge from electrons

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Answer

From the anode half reaction, we see that the oxidation of one mole of methane produces 8 moles of electrons (8e^-). Each mole of electrons carries a charge of approximately 96485 coulombs (Faraday's constant).

Therefore, the total charge (Q) produced from 8 moles of electrons is calculated as follows:

Q=n×FQ = n \times F

where:

  • n=8n = 8 moles (number of moles of electrons)
  • F96485 C mol1F \approx 96485 \text{ C mol}^{-1}

Substituting the values, we get:

Q=8×96485 C771880 CQ = 8 \times 96485 \text{ C} \approx 771880 \text{ C}

This value can be expressed as approximately 8×1058 \times 10^5 C.

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