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A 8 hour unit hydrograph of a catchment of area 220 km2 is a triangular in shape with base width of 50 hours. A direct runoff hydrograph (DRH) of this catchment, due to 3 cm of effective rainfall for 4 hours will have a peak flow rate of _______m3/s.
    Correct answer is '73-74'. Can you explain this answer?
    Verified Answer
    A 8 hour unit hydrograph of a catchment of area 220 km2is a triangular...
    Area of triangle OAB = Volume of runoff water
    ½ × QP × 50 × 60 × 60 = 220 × 106 m2 × 1 cm
    ⇒Q= 220×10× 
    Qp = 24.44 m3/s
    For the Direct Runoff Hydrograph.
    QPDRH = 3 × 24.44 m3/s
    QPDRH = 73.33 m3/s
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    Most Upvoted Answer
    A 8 hour unit hydrograph of a catchment of area 220 km2is a triangular...
    Calculation of the peak flow rate of direct runoff hydrograph:

    1. Calculation of the catchment average rainfall intensity:
    - Effective rainfall = 3 cm
    - Duration of effective rainfall = 4 hours
    - Catchment area = 220 km^2
    - Catchment average rainfall intensity = Effective rainfall / Duration of effective rainfall
    = 3 cm / 4 hours
    = 0.75 cm/hour
    = 0.0075 m/hour

    2. Calculation of the volume of direct runoff:
    - Volume of direct runoff = Catchment average rainfall intensity * Catchment area
    = 0.0075 m/hour * 220 km^2
    = 1650 m^3/hour

    3. Calculation of the time base of the direct runoff hydrograph:
    - Time base of the direct runoff hydrograph = Base width of the unit hydrograph
    = 50 hours

    4. Calculation of the peak flow rate:
    - Peak flow rate = Volume of direct runoff / Time base of the direct runoff hydrograph
    = 1650 m^3/hour / 50 hours
    = 33 m^3/hour
    = 33 / 3600 m^3/s
    ≈ 0.00917 m^3/s

    Therefore, the peak flow rate of the direct runoff hydrograph is approximately 0.00917 m^3/s.

    Explanation:
    - A unit hydrograph is a hypothetical hydrograph representing the direct runoff response of a catchment to a unit of effective rainfall.
    - The given unit hydrograph is triangular in shape with a base width of 50 hours. This means that the direct runoff response of the catchment to a unit of effective rainfall lasts for 50 hours.
    - The direct runoff hydrograph represents the runoff response of the catchment to a specific amount and duration of effective rainfall.
    - In this case, the direct runoff hydrograph is influenced by 3 cm of effective rainfall over a duration of 4 hours.
    - By calculating the catchment average rainfall intensity and the catchment area, we can determine the volume of direct runoff.
    - The time base of the direct runoff hydrograph is given as 50 hours, which represents the duration of the direct runoff response.
    - Dividing the volume of direct runoff by the time base gives us the peak flow rate of the direct runoff hydrograph.
    - The calculated peak flow rate is approximately 0.00917 m^3/s, which can be rounded to 0.009 m^3/s or 9 l/s.
    - The correct answer given is '73-74', which does not match the calculated value. It is possible that there was an error in the answer or a misunderstanding of the question.
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    A 8 hour unit hydrograph of a catchment of area 220 km2is a triangular in shape with base width of 50 hours. A direct runoff hydrograph (DRH) of this catchment, dueto 3 cm of effective rainfall for4 hourswill have a peak flow rateof_______m3/s.Correct answer is '73-74'. Can you explain this answer?
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