5.thermodynamics of gasification

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    Thermodynamics of

    Gasification

    Prof. Dr. Javaid RabbaniKhan

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    Thermodynamics & kinetics

    For the theoretical background to anychemical process :

    Thermodynamics(the state to which the

    process will move under specific conditions ofpressure and temperature, given sufficient

    time)Kinetics

    (what route will it take and how fast willit get there)

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    REACTIONS

    During the process of gasification of solid carbon are inthe form of Coal,

    Coke, Char,

    The principle chemical reactions are those involving Carbon,

    Carbon monoxide,

    Carbon dioxide,

    Hydrogen,

    Water (or steam), and

    Methane

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    Combustion reactions

    C+ O2 = CO 111 MJ/kmol

    CO+ O2=

    CO2283 MJ/kmol

    H2 + O2 = H2O 242 MJ/kmol

    Boudouard reaction

    C+CO2 2 CO +172 MJ/kmol

    water gas reactionC+H2O CO+H2 +131 MJ/kmol

    Methanation reaction

    C+2 H2 CH4 75 MJ/kmol

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    CO shift reaction

    CO+H2O CO2 +H2 41 MJ/kmol

    Steam methane reforming reaction

    CH4+H2O CO2 +3 H2 + 206 MJ/kmol

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    For real fuels (including coal, which also

    contains hydrogen) the overall reaction:

    CnHm + n/2 O2 = n CO +m/2 H2

    where

    for gas, as pure methane, m= 4 and n = 1,

    hence m/n = 4, and

    for oil, m/n 2, hence m = 2 and n = 1,and

    for coal, m/n 1, hence m = 1 and n = 1

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    Thermodynam ic Equ il ibr ium

    In general, the forward and the reverse reactionstake place simultaneously and at different rates

    For any given temperature these reaction rates

    are proportional to the quantity of reactantsavailable

    For CO shift reaction, the forward reaction rate,rf, is proportional to the molar concentrations of

    CO and H2O per unit volumerf = kf [CO] [H2O]

    Where Constant of proportionality kf istemperature dependant

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    Similarly, for the reverse reaction

    rr = kr [CO2] [H2]

    Over a period of time these two reaction rateswill tend to reach a common value and the gascomposition will have reached a state ofequilibrium

    where Kp is the temperature dependantequilibrium constant for the CO shift reaction

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    Assuming ideal gases this can also be

    expressed as

    where PCOis the partial pressure and vCO

    is the volume fraction PCO/P of CO in the

    gas

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    For the Boudouard reaction

    For the water gas reaction

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    For the reforming reaction

    where P is the total absolute pressure of the gas

    The temperature dependency of these

    equilibrium constants can be derived from acorrelation as

    T is the absolute temperature in Kelvin

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    THERMODYNAMIC MODELING OF

    GASIFICATION

    The designer has the task of calculating a limited

    number of design cases

    Throughputs of the different feedstocks,

    Gas compositions,

    Heat effects,

    Quench requirements,

    Startup and shutdown requirements,

    Optimal conditions for the design feedstocks,

    Process control requirements.

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    Purpose of Gasification Modeling

    The calculation of the gas composition.

    The calculation of the relative amounts of

    oxygen and/or steam and/or heat requiredper unit fuel intake.

    The optimization of the energy in the form

    of the heat of combustion of the productgas or, alternatively, of the synthesis gasproduction per unit fuel intake.

    To provide set points for process control

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    Calculations comprising the gasification

    are based on

    Thermodynamics,

    Mass and energy balances and

    Process conditions,

    Temperature Pressure

    The addition or subtraction of indirect heat

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    For coal both must be known

    Proximate analysis

    fixed carbon

    volatile matter

    Moisture

    ash

    Ultimate analysis

    elemental, apart from ash

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    Feedstocks

    Feedstocks for gasification may vary from

    natural gas to heavy oil residues

    coal

    waste streams and biomass

    For calculations following must be known

    The elemental composition

    The standard heat of formation of the fuels

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    Coal

    Composition and combustion data for coalare often very confusing as based on

    as-received (ar),moisture-free (mf),

    ash-free (af),

    ash-and-moisture-free (maf)

    The heating value can be given as

    LHV

    HHV

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    Moderator

    The most common moderator used in gasificationprocesses is steam but CO2 also used as moderator

    The steam must have a minimum temperature

    corresponding to that of saturated steam at the pressureprevailing in the gasifier, otherwise condensation in thelines to the gasifier will occur.

    In general, steam is used that is superheated to atemperature of 300400C.

    At pressures above 40 bar this superheat is mandatory,since otherwise the steam becomes wet on expansion.

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    Equations

    The following equations will apply in virtually allgasification processes

    Carbon balance.

    Hydrogen balance.

    Oxygen balance.

    Dalton equation, stating that the sum of the mole fractions in theproduct gas equals unity

    Heat balance

    Reaction constants of the relevant reactions Sulfur balance.

    Nitrogen balance

    Ash balance.

    Argon balance

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    The remaining three variables in case ofheterogeneous gasification and two in the caseof homogeneous gasification may be selected

    from the following list:1. Fuel used per kmole product gas.

    2. Blast (oxidant) used per kmole product gas.

    3. Moderator (mostly steam) used per kmole

    product gas.4. Heat loss from the gasifier reactor or heat

    required for the gasification.

    5. Gasification temperature

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    DEDUCTIONS FROM THE

    THERMODYNAMIC MODEL

    Effect of Pressure

    Effect of Temperature

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    Effect of Pressure

    practically all modern processes are operatedat pressures of at least 10 bar and up to ashigh as 100 bar.

    we can compare the energy required to provide100,000Nm3/h raw synthesis gas at 45 bar byeither

    1. gasifying at a relatively low pressure (5 bar)

    and compressing the synthesis gas, oralternatively,

    2. compressing the feedstocks to 55 bar (allowingfor pressure drop in the system) and gasifyingat the higher pressure.

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    Variation of Syngas Compositions with

    Temperature at 1000C

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    Variations of Yields with

    Temperature at 1000C

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    Effect of Temperature

    The temperature is generally selected on thebasis of the ash properties

    For process control purposes where ratiosbetween fuel, oxygen, and/or steam are known,the temperature can be calculated

    Since most modern gasification processes

    operate at pressures of 30 bar or higher,temperatures of above 1300C are required inorder to produce a synthesis gas with a lowmethane content

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    Variations of Syngas Compositions and

    Yields at 1500C

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    Variation of Yields with Pressure

    at 30 bar

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    Optimum Operating Point

    Eff ic iencies

    The two most commonly encountered are

    cold gas efficiency (CGE)

    carbon conversion

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    Cold gas efficiency

    Cold gas efficiency is defined as :

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    Carbon conversion efficiency

    Carbon conversion efficiency is defined as

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    Cold gas efficiency

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    Syngas yields for coal