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28 November, 05:04

Butane (c4h10) undergoes combustion in excess oxygen to generate gaseous carbon dioxide and water. given δh°f[c4h10 (g) ] = - 124.7 kj/mol, δh°f[co2 (g) ] = - 393.5 kj/mol, δh°f[h2o (g) ] = - 241.8 kj/mol, how much energy is released (kj) when 8.30 g of butane is burned?

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  1. 28 November, 06:26
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    The value of Δ H butane (g) = - 124.7 kJ/mol

    The value of Δ H CO2 (g) = - 393.5 kJ/mol

    The value of Δ H H2O (g) = - 241.8 kJ/mol

    Mass of butane, m = 8.30 gm

    Molar mass of butane is 58 gm/mol

    Consider the reaction,

    C₄H₁₀ + 6.5 O₂ = 4CO₂ + 5H₂O

    Calculating the value of Δ H° rxn:

    ΔH°rxn = ∑nH° f (products) - ∑nH° f (reactants)

    Substituting the values we get,

    Δ H° rxn = 4 (-393.5) + 5 (-241.8) - (-124.7)

    = - 1574 - 1209 + 124.7

    = - 2783 - 124.7

    = - 2658.3 kJ/mol

    Now, calculate the number of moles of butane in 8.30 gm.

    Number of moles = mass/molar mass

    = 8.30 / 58

    = 0.143 moles

    Thus, the total energy released in the reaction is,

    Q = number of moles * ΔH° rxn

    = 0.143 * (2658.3)

    = 380.14 kJ

    Hence, the total heat released in the reaction is 380.14 kJ.
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