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One type of ‘breathalyser’ instrument used by police for the measurement of the concentration of alcohol in a driver’s breath is a fuel cell - VCE - SSCE Chemistry - Question 8 - 2005 - Paper 1

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One type of ‘breathalyser’ instrument used by police for the measurement of the concentration of alcohol in a driver’s breath is a fuel cell. An acidic electrolyte i... show full transcript

Worked Solution & Example Answer:One type of ‘breathalyser’ instrument used by police for the measurement of the concentration of alcohol in a driver’s breath is a fuel cell - VCE - SSCE Chemistry - Question 8 - 2005 - Paper 1

Step 1

a. Write the equation for the half reaction at the anode.

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Answer

The half reaction at the anode involves the oxidation of ethanol (C2H5OH) to ethanolic acid (CH3COOH). The balanced half reaction is:

C2H5OH(aq)+H2O(l)CH3COOH(aq)+4e+4H+C_2H_5OH(aq) + H_2O(l) \rightarrow CH_3COOH(aq) + 4e^- + 4H^+

Step 2

b. A motorist who has consumed alcohol blows into the fuel cell. If the breath entering the cell provides alcohol at the rate of 3.0 x 10^{-5} g per second, calculate the maximum current, in amps, that the cell would produce.

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Answer

To calculate the maximum current, we first need to find the moles of ethanol being provided per second. The molar mass of ethanol (C2H5OH) is approximately 46 g/mol.

Moles of ethanol per second: n=massmolarmass=3.0×105g46g/mol=6.52×107moln = \frac{mass}{molar \: mass} = \frac{3.0 \times 10^{-5} \: g}{46 \: g/mol} = 6.52 \times 10^{-7} \: mol

Next, we need to find the total charge produced. The half reaction at the anode shows that 4 moles of electrons are produced for every mole of ethanol oxidized.

Total moles of electrons per second: electrons=6.52×107imes4=2.608×106molelectrons = 6.52 \times 10^{-7} imes 4 = 2.608 \times 10^{-6} \: mol

Using Faraday’s constant (F96485C/molF \approx 96485 \: C/mol), we can find the total charge: Q=n×F=2.608×106imes96485=0.25CQ = n \times F = 2.608 \times 10^{-6} imes 96485 = 0.25 \: C

To find the current (I), we use the formula: I=QtI = \frac{Q}{t}

Since the charge is produced per second, the current is: I=0.25AI = 0.25 \: A

Step 3

c. The nature of the electrodes in the cell is essential to the effective operation of the breathalyser. State two important functions that the electrodes must perform.

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Answer

  1. Carry current: The electrodes need to conduct electricity effectively to allow the current generated by the reactions to flow.

  2. Catalyse electrode reactions: The electrodes must facilitate the oxidation of ethanol and the reduction of oxygen efficiently to ensure accurate and reliable measurement of alcohol concentration.

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