Question

Question:7 The inflow to a small eservoir during a storm may be deseribed by the equation 0-1000* (1-e-kt) Where Q flow (ft3/s) k runoff rate 1 . 0 hr-1 t time (hr) The outflow is held constant at 800 ft3/s. The initial volume of the reservoir is 10 x 106 ft. Write the differential equation describing the rate of change in reservoir volume with time. (10 Points)

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Soluticn. iven Eqvation Whese, oo, Let he net o os as below, in 1000(-e 800let the ate of change of ơesesvolv dt 800 Tlevefse, the diffes ential s caiblr the sate op change โค esey veN volume 1000 (1--ko ラV-(tox 106) = 1000 800 XO 1000 | Ote 1000 | t -1-1000-800t -1000-80at t (to 106 V - 1000 | tt e 800X0 9.999 X6

Add a comment
Know the answer?
Add Answer to:
Question:7 The inflow to a small eservoir during a storm may be deseribed by the equation...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Listed in Table Q2.1 below is the storm inflow hydrograph for a full reservoir that has...

    Listed in Table Q2.1 below is the storm inflow hydrograph for a full reservoir that has an uncontrolled spillway for releasing flood water. Table Q2.1 Time (h) | 0 3 6 9 12 15 18 21 24 27 30 Inflow 2 104 204 226 213 185 158 136 118 102 89 (m/s) Time (h) 36 39 48 51 54 60 63 Inflow 78 68 56 47 39 30 22 15 9 4 2 (m/s) The storage and outflow characteristics of...

  • A lake with the volume of 106 m3 receives 10 m3/s of inflow containing 0.1 mol/m3...

    A lake with the volume of 106 m3 receives 10 m3/s of inflow containing 0.1 mol/m3 of a chemical. The chemical reacts with a first-order rate constant of 0.02 h-1. The outflow from the lake is also 10 m3/s. Assume there was no chemical in the lake at the beginning. What will be the concentration changing rate of this chemical in this lake? Assume the concentration of such chemical at certain time is x mol/m3 in the lake.

  • 1. Civil engineers use the continuity equation for many applications. This simple ordinary differential equation states...

    1. Civil engineers use the continuity equation for many applications. This simple ordinary differential equation states that the difference between (volumetric) rates of inflow and outflow is equal to the rate of change of storage in the system: I- o- dS/dt where S is storage or volume and t is time Consider a conical tank with top radius, r-1.83 meters and height, h- 3.05 meters. Thetank is initially empty, and then water is added at a rate of I- 0.00095...

  • ENGINEERING HYDROLOGY CIVL431 Assignment #1 Problem 11 The following data were observed at Demirköprü Dam site...

    ENGINEERING HYDROLOGY CIVL431 Assignment #1 Problem 11 The following data were observed at Demirköprü Dam site on Gediz River in June 1971. Find the monthly evaporation in mm from the reservoir surface of this dam. If there were a Class A pan installed nearby the reservoir, what would be the monthly evaporation observed from this pan? Storage at the beginning of the month : 4XY.Z - 10 m Storage at the end of the month 47x V -10 m Average...

  • ENGINEERING HYDROLOGY CIVL431 Assignment #1 Problem 11 The following data were observed at Demirköprü Dam site...

    ENGINEERING HYDROLOGY CIVL431 Assignment #1 Problem 11 The following data were observed at Demirköprü Dam site on Gediz River in June 1971. Find the monthly evaporation in mm from the reservoir surface of this dam. If there were a Class A pan installed nearby the reservoir, what would be the monthly evaporation observed from this pan? Storage at the beginning of the month : 4XY.Z - 10 m Storage at the end of the month 47x V -10 m Average...

  • The shield of a nuclear reactor can be idealized as a slab with a face area...

    The shield of a nuclear reactor can be idealized as a slab with a face area of 6 ft2 and a thermal conductivity k = 2 Btu / hr*ft*°F. Heat is generated in the shield at a steady rate S = S0 exp(-bx) [Btu / hr*ft3 ] where x = 0 denotes the inner surface close to the nuclear reactor and the outer surface is at x = L. The temperature is maintained at 300 °F at the inner surface...

  • Consider the summarized in the tables below. Use a 25-year return period to determine the rainfall...

    Consider the summarized in the tables below. Use a 25-year return period to determine the rainfall intensity i. Use a Manning's n 0.014. storm sewer shown below. The characteristics of the pipes and the drainage area are Prepare a spreadsheet to perform the necessary calculations. Determine suitable diameters for each pipe. O 1.1 Pipe l From Inlet To Inlet」Length(ft) Slope(ft/ft) 1.1 1.2 2.1 2.1 2.1 3.1 800 600 700 0.003 0.005 0.002 Drainage Area Runoff Inlet Time Area (acres) Coefficient...

  • 2. The figure below represents the hydrological response (a total precipitation depth of 2-in in 24...

    2. The figure below represents the hydrological response (a total precipitation depth of 2-in in 24 hours), for a 200 acres watershed before and after the headwaters and central area of the watershed have been developed. The ordinance for the county where the development was observed requires you to design a pond (58 ft deep) capable to hold the entire additional volume of runoff that exceeds the hydrologic response observed before development. 4+? 18 | Qp = lofth 3 16...

  • A small pond initially contains 2,000 litres of fresh water. Polluted water flows in at a...

    A small pond initially contains 2,000 litres of fresh water. Polluted water flows in at a rate of 5 litres per hour. Water fows out of the pond at the same rate. The concentration of pollutant in the inflow, c(t), is given by c(t) = 2 +5e-* grams per litre. Originally there is no pollutant in the pond. Which of the following differential equation models describes the total mass Q of pollutant in the pond over time? dQ dt 10...

  • Hydrology ENV 321 Homework #1 Due: Friday, September 6 at 1:00pm 1. Convert (show all conversion...

    Hydrology ENV 321 Homework #1 Due: Friday, September 6 at 1:00pm 1. Convert (show all conversion steps for full credit; convert only one unit for cach step as demonstrated in class): a) acre-feet/day to mgd (mgd is million gallons per day] b) cfs to cms c) inches/hr rainfall to mm/day rainfall d) short tons/acre-day to Mg/hectare-year [Mg is megagrams e) inches"F to cm/ C [be careful, this one may trick you] 2. Define the hydrologic cycle component and indicate how...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT