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    FE Review for

    EnvironmentalEngineeringProblems, problems, problems

    Presented by L.R. Chevalier, Ph.D., P.E.

    Department of Civil and Environmental Engineering

    Southern Illinois University Carbondale

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    BIOLOGICAL FOUNDATIONS

    FE Review for Environmental Engineering

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    Given the following data, calculate BOD5

    Initial DO of sample: 9.0 mg/L

    Volume of sample: 10 ml

    Final DO of bottle after 5 days: 1.8 mg/L

    Volume of BOD bottle: standard 300 ml

    Problem Strategy Solution

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    Review and understand the terms of the governing equation

    PDODO

    V

    VDODOBOD fi

    b

    s

    fit

    Problem Strategy Solution

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    Standard Bottle: 300 ml

    P = 10/300 =0.033

    Lmg

    P

    DODOBOD

    fi218

    033.0

    8.10.95

    Problem Strategy Solution

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    Time (days)

    BOD(mg

    /L)

    BOD5

    Typical Curve

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    Further Discussion on BOD

    Typical values

    domestic sewage 250 mg/L

    industrial waste as high as 30,000 mg/L

    untreated dairy waste 20,000 mg/L

    After 5 days, BOD curve may turn sharply upward

    demand of oxygen by microorganisms that decompose

    nitrogeneous organic compounds into stable nitrate

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    Time (days)

    BOD(mg

    /L)

    carbonaceous

    nitrogenous

    BOD5Lo

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    If the BOD3 of a waste is 75 mg/L and

    k=0.345 day-1, what is the ultimate BOD?

    Problem Strategy Solution

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    For some of you there may be a confusion as to

    which equation to use:

    ktot eLL

    kt

    oteLBOD

    1

    Problem Strategy Solution

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    Recall the equation for BODt

    P

    DODO

    V

    V

    DODOBOD

    fi

    b

    s

    fit

    The amount of DO measured will decrease over

    time. Does BOD increase or decrease over time?

    Problem Strategy Solution

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    ktot eLBOD

    1

    ktot eLL

    OXYGEN CONSUMED OXYGEN DEMAND REMAINING

    Want to use the equation that shows an increase with time!

    0

    100

    200

    300

    400

    0 5 10 15 20 25

    Time, days

    BODremaining,L

    t

    Oxygenconsumed,BODt Lo

    OXYGEN DEMAND REMAINING

    OXYGEN CONSUMED

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    LmgL

    LeL

    o

    o

    o

    /116

    645.0175

    3345.0

    Problem Strategy Solution

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    Given: DOi = 9.0 mg/L

    DO = 3.0 mg/L after 5 days

    Dilution factor P = 0.030

    Reaction rate, k = 0.22 day-1

    a) What is the 5-day BOD?

    b) What is the ultimate BOD?

    c) What is the remaining oxygen demand after 5

    days?

    Problem Strategy Solution

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    Review and understand the equations needed for the solution

    P

    DODO

    V

    V

    DODOBOD fi

    b

    sfit

    ktot eLBOD

    1

    0

    100

    200

    300

    400

    0 5 10 15 20 25

    Time, days

    BODremaining,Lt

    Oxygenconsumed,

    BODt

    Lo

    yt

    Lt

    BODt

    Problem Strategy Solution

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    a) What is the 5 day BOD?

    Lmg

    PDODOBOD

    fi200

    03.039

    5

    Problem Strategy Solution

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    b) What is the ultimate BOD?

    Lmg

    eeBODL

    kto300

    1200

    1 522.05

    Problem Strategy Solution

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    c) What is the remaining oxygen demand after 5

    days?

    300 - 200 = 100 mg/L

    Problem Strategy Solution

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    Determine the ThOD of a 400 mg/L solution of glucose C6H12O6

    Problem Strategy Solution

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    Balance the equation

    Determine the MW of compound and O2

    Calculate ThOD

    oxygenchemicalmoles

    oxygenmoles

    chemicalMW

    chemicalThOD mol

    gLmg

    Lmg 32

    #

    #

    Problem Strategy Solution

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    1. Balance the following equation

    OHCOOOHC

    OHCOOOHC

    2226126

    2226126

    666

    ______

    Problem Strategy Solution

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    2. Determine the MW of glucose and O2

    MW C6H12O6 = 12(6) + 12 + 16(6) = 180 g/mol

    MW O2 = 2(16) = 32 g/mol

    3. Calculate the ThOD

    Lmg

    molg

    molg

    Lmg

    Lmg

    oxygenecosglumoles

    oxygenmolesThOD

    7.426

    321

    6

    180

    400

    Problem Strategy Solution

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    Ethanol, or ethyl, alcohol is used in beverages, as a gasoline additive, and in other

    industrial applications. Because small amounts of ethanol and sugar are used in

    the biological process to produce methanol, both of these compounds inevitable

    end up in the waste water of methanol plants.

    Calculate the ThOD demand for waste water containing 30 mg/L ethanol[CH3CH2OH] and 40 mg/L sucrose [C6H12O6]

    Problem Strategy Solution

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    Balance two equations

    Determine the MW of both compounds

    Calculate ThOD for both, then add

    oxygenchemicalmoles

    oxygenmoles

    chemicalMW

    chemicalThOD mol

    gLmg

    Lmg 32

    #

    #

    Problem Strategy Solution

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    1. Write the balanced equation for the oxidation of

    ethanol (often written EtOH) to the end products

    of CO2 and H2O.

    OHCOOOHCHCH 22223 323

    MW EtOH = 46 g/mol

    Problem Strategy Solution

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    2. ThOD of EtOH is calculated as follows:

    26.62

    321

    3

    46

    30

    O

    oxygenEtOHmoles

    oxygenmolesThOD

    Lmg

    molg

    molg

    Lmg

    Lmg

    Problem Strategy Solution

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    3. Calculate the ThOD for wastewater containing

    40 mg/L sucrose [C6H12O6]

    OHCOOOHC 2226126 666

    MW Sucrose = 180 mg/L

    27.42

    321

    6

    180

    40

    O

    oxygensucrosemoles

    oxygenmoles

    ThOD

    Lmg

    mol

    g

    molg

    Lmg

    L

    mg

    Problem Strategy Solution

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    4. To calculate ThOD for waste water containing

    both 30 mg/L ethanol [CH3CH2OH] and 40 mg/L

    sucrose [C6H12O6], you can add the ThOD of the

    individual compounds.

    ThOD tot = 62.6 mg/L O2 + 42.7 mg/L O2

    = 105.3 mg/L O2 ... end of example

    Problem Strategy Solution

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    A chemical plant produces the amino acid

    glycine [C2H5O2N]. The wastewater from the

    facility contains approximately 25 mg/L ofthis acid. Calculate both the carbonaceous

    and nitrogenous ThOD for the wastewater.

    Example Solution

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    1. As in the previous example, write the

    balance equation, but include NH3 as an end

    product.

    3222252 ???? NHOHCOONOHC

    Example Solution

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    322221

    252 21 NHOHCOONOHC

    2. Balanced equation:

    3. The molecular weight of the acid is 75 g/mol. The

    amount of oxygen required to oxidize the

    carbonaceous portion is:

    216

    321

    5.1

    75

    25

    O

    oxygenacidmoles

    oxygenmolesThOD

    Lmg

    molg

    molg

    Lmg

    Lmg

    Example Solution

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    4. One mole of ammonia is produced for each mole

    of acid oxidized. The equation for oxidation of the

    ammonia is:

    NH O NO H O H3 2 3 22

    ammonia nitrate

    Example Solution

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    5. To determine the nitrogenous oxygen demand:

    23.21

    321

    2

    75

    25

    O

    oxygenammoniamoles

    oxygenmolesNOD

    Lmg

    molg

    molg

    Lmg

    Lmg

    Example Solution

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    6. The amount of oxygen required to oxidize the acid

    is the sum of both the carbonaceous and the

    nitrogenous oxygen demands.

    ThOD = 16 + 21.33 = 37.33 mg/L O2

    .....end of example

    Example Solution