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6 June, 05:34

If there were a carbon tax of $250/ton of CO2 on fossil fuels, estimate the increase in the price of a barrel of oil. The density of oil is assumed to be 803 kg/m3. Use C8H18 for oil.

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  1. 6 June, 07:01
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    The additional carbon tax on each barrel is 0.394 ton x $250/ton = 98.5 $

    Explanation:

    A barrel volume is 159 L or 0.159 m³, which then can be converted to weight

    m = 0.159 m³ x 803 kg/m³ = 127.677 kg = 127.677 x 10³ g

    Then we convert to mol,

    n = 127,677 x 10³ g / 114 g/mol = 1.12 x 10³ mol

    The reaction for combustion of C₈H₁₈ is as below, each mol of C₈H₁₈ will generate 8 mol of CO₂,

    C₈H₁₈ + 27/2 O₂ → 8 CO₂ + 9 H₂O

    So the mole of CO₂ generated is 1.12 x 10³ x 8 = 8.96 x 10³ mol

    then convert to weight of CO₂,

    m = 8.96 x 10³ mol x 44 g/mol = 394.24 x 10³ g = 0.392 ton

    Hence the additional carbon tax on each barrel is 0.394 ton x $250/ton = 98.5 $
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