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14 July, 16:55

Liquid ethanol (C2H5OH) at 298 K, 1 atm enters a steam generator operating at steady state and burns completely with dry air entering at 400 K, 1 atm. The fuel flow rate is 75 kg/s, and the equivalence ratio is 0.7. If the combustion products exit at 1500 K, 1 atm, what is the rate of heat transfer in W?

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  1. 14 July, 18:32
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    Q = 6491.100 kJ/s

    Explanation:

    Air-Fuel Ratio:

    For a combustion reaction the proportion of air that is present in a gaseous substance responsible for the reaction, this proportion is known as air-fuel ratio. The air fuel ratio is calculated using the combustion reaction for the substance.

    Considering reaction for the Ethanol as

    C₂H₅OH + XO₂ (O₂+3.76N₂) → aCO₂+bH₂O+cN₂

    Balancing the equation we get;

    a=2,

    2b=6

    ∴ b=3

    xO₂=3

    The air-fuel ratio

    A/F = XO₂+H₂O+xN₂ * mass of N₂/mass (fuel)

    3.31*31.9+11.28*28.013/46.069

    = 8.943

    Equivalent ratio = 0.7,

    so, heat transfer

    Q = m * Cp*ΔT

    = 75*0.7*112.4 (1500-400)

    Q = 6491.100 kJ/s

    1kJ/s=1000w

    ∴ Q = 6491100 W
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