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A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location.
For the existing environmental conditions, the saturation DO level is 10 mg/litre in the river. Wastewater discharge of 100 MLD with the BOD5 of 200 mg/litre and DO level of 2 mg/litre falls at that location. Assuming complete mixing of wastewater and river water, the immediate DO deficit (in mg/litre, round off to two decimal places), is _________.
    Correct answer is '2.54'. Can you explain this answer?
    Verified Answer
    A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/...

    = 7.45 mg/l
    DO = DOsat – DOmix = 10 – 7.45 = 2.545 mg/l
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    A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/...
    Calculation of Immediate DO Deficit in a River Receiving Wastewater Discharge

    Given data:
    - River flow = 1000 MLD
    - BOD5 of river water = 5 mg/litre
    - DO level of river water = 8 mg/litre
    - Saturation DO level in river water = 10 mg/litre
    - Wastewater discharge = 100 MLD
    - BOD5 of wastewater = 200 mg/litre
    - DO level of wastewater = 2 mg/litre

    Assumptions:
    - Complete mixing of wastewater and river water
    - Negligible effect of other factors on DO level (e.g. temperature, pressure, etc.)

    Step 1: Calculate the total BOD5 load on the river
    - BOD5 load from river water = River flow x BOD5 of river water
    = 1000 MLD x 5 mg/litre
    = 5000 kg/day
    - BOD5 load from wastewater = Wastewater discharge x BOD5 of wastewater
    = 100 MLD x 200 mg/litre
    = 20000 kg/day
    - Total BOD5 load on river = BOD5 load from river water + BOD5 load from wastewater
    = 5000 kg/day + 20000 kg/day
    = 25000 kg/day

    Step 2: Calculate the immediate DO deficit caused by wastewater discharge
    - Oxygen required to oxidize BOD5 in wastewater = BOD5 load from wastewater x 1.42
    = 20000 kg/day x 1.42
    = 28400 kg/day
    - Oxygen available from river water = River flow x (DO level of river water - DO deficit)
    = 1000 MLD x (8 mg/litre - DO deficit)
    = 8000 - 1000 DO deficit kg/day
    - Oxygen deficit = Oxygen required - Oxygen available
    = 28400 kg/day - (8000 - 1000 DO deficit) kg/day
    = 20400 + 1000 DO deficit kg/day
    - Immediate DO deficit = Oxygen deficit / River flow
    = (20400 + 1000 DO deficit) kg/day / 1000 MLD
    = 20.4 + DO deficit mg/litre
    - Solving for DO deficit: 20.4 + DO deficit = (DO level of river water - DO level of wastewater) x (wastewater discharge / River flow)
    = (8 mg/litre - 2 mg/litre) x (100 MLD / 1000 MLD)
    = 0.6 mg/litre
    - DO deficit = 0.6 - 20.4
    = -19.8 mg/litre
    - Since DO deficit cannot be negative, the immediate DO deficit is zero.

    Step 3: Calculate the actual DO deficit caused by wastewater discharge
    - Oxygen deficit = Oxygen required - Oxygen available
    = 28400 kg/day - (8000 - 1000 x 0.6) kg/day
    = 20440 kg/day
    - Actual DO deficit = Oxygen deficit / River flow
    = 20440 kg/day / 1000 MLD
    = 20.44 mg/litre
    - Rounding off to two decimal places, the actual DO deficit caused by wastewater discharge is 20.44 mg/litre.

    Conclusion:
    The immediate DO deficit caused
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    A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location.For the existing environmental conditions, the saturation DO level is 10 mg/litre in the river. Wastewater discharge of 100 MLD with the BOD5 of 200 mg/litre and DO level of 2 mg/litre falls at that location. Assuming complete mixing of wastewater and river water, the immediate DO deficit (in mg/litre, round off to two decimal places), is _________.Correct answer is '2.54'. Can you explain this answer?
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    A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location.For the existing environmental conditions, the saturation DO level is 10 mg/litre in the river. Wastewater discharge of 100 MLD with the BOD5 of 200 mg/litre and DO level of 2 mg/litre falls at that location. Assuming complete mixing of wastewater and river water, the immediate DO deficit (in mg/litre, round off to two decimal places), is _________.Correct answer is '2.54'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location.For the existing environmental conditions, the saturation DO level is 10 mg/litre in the river. Wastewater discharge of 100 MLD with the BOD5 of 200 mg/litre and DO level of 2 mg/litre falls at that location. Assuming complete mixing of wastewater and river water, the immediate DO deficit (in mg/litre, round off to two decimal places), is _________.Correct answer is '2.54'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A river has a flow of 1000 million litres per day (MLD), BOD5 of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location.For the existing environmental conditions, the saturation DO level is 10 mg/litre in the river. Wastewater discharge of 100 MLD with the BOD5 of 200 mg/litre and DO level of 2 mg/litre falls at that location. Assuming complete mixing of wastewater and river water, the immediate DO deficit (in mg/litre, round off to two decimal places), is _________.Correct answer is '2.54'. Can you explain this answer?.
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