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A wastewater is to be disinfected with 35mg/L of chlorine to obtain 99% kill of microorganisms. The number of micro-organisms remaining alive (Nt) at time t, is modelled by Nt = N0e–kt, where N0 is number of microorganisms at t = 0, and k is the rate of kill. The wastewater flow rate is 36m3/h, and k = 0.23 min-If the depth and width of the chlorination tank are 1.5 m and 1.0m, respectively, the length of the tank (in m, round off to 2 decimal places) is _________
    Correct answer is '8.0089'. Can you explain this answer?
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    A wastewater is to be disinfected with 35mg/L of chlorine to obtain 99...
    For 99% kill of mircoorganision

    –0.23t = –4.605
    t = 20.022 min
    Volume of tank req. = Q.t

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    A wastewater is to be disinfected with 35mg/L of chlorine to obtain 99...
    ^(kt), where N0 is the initial number of microorganisms, Nt is the number of microorganisms remaining at time t, and k is the disinfection rate constant.

    To find the disinfection rate constant (k), we can use the formula:

    k = (ln(Nt/N0)) / t

    Given:
    Nt = 1% of N0 (since 99% kill is desired)
    Nt = 0.01N0
    t = 1 hour (assuming the time is 1 hour)

    Now we can substitute these values into the formula to find k:

    k = (ln(0.01N0/N0)) / 1
    k = (ln(0.01)) / 1
    k = ln(0.01)
    k ≈ -4.605

    Therefore, the disinfection rate constant (k) is approximately -4.605.

    Now we can use this value to find the equation for Nt:

    Nt = N0e^(kt)

    Nt = N0e^(-4.605t)
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    A wastewater is to be disinfected with 35mg/L of chlorine to obtain 99% kill of microorganisms. The number of micro-organisms remaining alive (Nt) at time t, is modelled by Nt = N0e–kt, where N0 is number of microorganisms at t = 0, and k is the rate of kill. The wastewater flow rate is 36m3/h, and k = 0.23 min-If the depth and width of the chlorination tank are 1.5 m and 1.0m, respectively, the length of the tank (in m, round off to 2 decimal places) is _________Correct answer is '8.0089'. Can you explain this answer?
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    A wastewater is to be disinfected with 35mg/L of chlorine to obtain 99% kill of microorganisms. The number of micro-organisms remaining alive (Nt) at time t, is modelled by Nt = N0e–kt, where N0 is number of microorganisms at t = 0, and k is the rate of kill. The wastewater flow rate is 36m3/h, and k = 0.23 min-If the depth and width of the chlorination tank are 1.5 m and 1.0m, respectively, the length of the tank (in m, round off to 2 decimal places) is _________Correct answer is '8.0089'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A wastewater is to be disinfected with 35mg/L of chlorine to obtain 99% kill of microorganisms. The number of micro-organisms remaining alive (Nt) at time t, is modelled by Nt = N0e–kt, where N0 is number of microorganisms at t = 0, and k is the rate of kill. The wastewater flow rate is 36m3/h, and k = 0.23 min-If the depth and width of the chlorination tank are 1.5 m and 1.0m, respectively, the length of the tank (in m, round off to 2 decimal places) is _________Correct answer is '8.0089'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wastewater is to be disinfected with 35mg/L of chlorine to obtain 99% kill of microorganisms. The number of micro-organisms remaining alive (Nt) at time t, is modelled by Nt = N0e–kt, where N0 is number of microorganisms at t = 0, and k is the rate of kill. The wastewater flow rate is 36m3/h, and k = 0.23 min-If the depth and width of the chlorination tank are 1.5 m and 1.0m, respectively, the length of the tank (in m, round off to 2 decimal places) is _________Correct answer is '8.0089'. Can you explain this answer?.
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