A slurry pond has a volume of 6 x 106 m or 1.57 billion US gallons...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A slurry pond has a volume of 6 x 106 m³ or 1.57 billion US gallons and a surface area of 100 acres. It is full to the brim. The suspended solid volume fraction in the slurry at the start was 42%. Below this pond is a freshwater pond, volume 3.2 x 106 m³ and it is also filled to the brim. The fresh-water pond initially contained no suspended solids, and a river is below it into which its discharge will flow. A sudden flash flood from the nearby land poured water (assume free of solids) at a rate of 8 × 105 m³/hour into the slurry pond. The run-off thoroughly stirred the suspension and a slurry discharge flowed from the slurry pond into the fresh-water pond at the same volumetric rate. The pond was also well stirred, and its discharge then flowed into the river at the volume rate above. (A) Derive a relationship for the volume concentration of solids in the freshwater pond as a function of time. (B) At what instant is the maximum amount of solid waste being discharged into the river? What is this rate (volume of solids/hour)? A slurry pond has a volume of 6 x 106 m³ or 1.57 billion US gallons and a surface area of 100 acres. It is full to the brim. The suspended solid volume fraction in the slurry at the start was 42%. Below this pond is a freshwater pond, volume 3.2 x 106 m³ and it is also filled to the brim. The fresh-water pond initially contained no suspended solids, and a river is below it into which its discharge will flow. A sudden flash flood from the nearby land poured water (assume free of solids) at a rate of 8 × 105 m³/hour into the slurry pond. The run-off thoroughly stirred the suspension and a slurry discharge flowed from the slurry pond into the fresh-water pond at the same volumetric rate. The pond was also well stirred, and its discharge then flowed into the river at the volume rate above. (A) Derive a relationship for the volume concentration of solids in the freshwater pond as a function of time. (B) At what instant is the maximum amount of solid waste being discharged into the river? What is this rate (volume of solids/hour)?
Expert Answer:
Answer rating: 100% (QA)
We must construct a differential equation to explain how the freshwater ponds suspended solids content changes over time in order to solve this challe... View the full answer
Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
Posted Date:
Students also viewed these mathematics questions
-
1. Use double integration in polar coordinates to find the volume of the solid that lies below the surface z = 5 + x y and above the circle x 2 + y 2 = x in the xy-plane. 2. Find the area of the...
-
In Problems 1-3, sketch the solid whose volume is given by the following double integrals over the rectangle R = {(x, y): 0 ( x ( 2, 0 ( y ( 3}. 1. 2. 3. 3 d A (x 1) dA iR y 1) dA
-
Consider the following function. def f(x): a = [] while x > 0: a.append(x) f(x-1) A new object of type list is created for each recursive invocation of f. True or False
-
(a) Decide whether each of the following expressions are true or not. Answer yes or no. In any case where it is not true, provide the actual O-complexity. (i) log n = O(n!) (ii) 10! = O(log n) (iii)...
-
Total fixed costs are $25,000 for Oaks Inc. It has a contribution margin per unit of $15, and a contribution margin ratio of 25%. Compute the break-even sales in dollars.
-
Combustion of which of the following fuels requires the highest amount of excess air: (a) Light diesel oil (LDO) (b) Natural gas (c) LPG (d) Coal
-
Express the Henry's-law constants reported in Table 8.1 as \(H_{i, p c}\) and \(H_{i, c p}\). Dimensionless temperature, 0.9 0.8 0.7 0.6 K=1+ (0-1/2) 0.5 0.4 0.3 0.2 0.1 K = 1 0 0.2 0.4 0.6 0.8...
-
The ledger of Herrera, Inc. on March 31, 2022, includes the following selected accounts before adjusting entries. An analysis of the accounts shows the following. 1. Insurance expires at the rate of...
-
Superior Company provided the following data for the year ended December 31 (all raw materials are used in production as direct materials): Selling expenses Purchases of raw materials Direct labor...
-
Summers and Dooley are partners in a small business, "Summers & Dooley Co." The two partners disagree about whether or not to expand the business; Dooley wants to expand and is willing to take the...
-
Search for and describe modern applications (at least 4) that improve collaboration between managers within the company. What will be the impact of using these applications on the culture and...
-
REWRITE EACH PARAGRAPH ( MINIMUM 100 WORDS FOR EACH PARAGRAPH). PURPOSE : I will be discussing the paper, "Model Minority at Risk: ExpressedNeeds of Mental Health by Asian American Young Adults,"...
-
help me reword and help organize this paragprah. The () are the comments and corrections that needs to be fixed. Rapuano, Rina. "Doctors Say Cell Phones and Kids Can Be a Healthy Mix." TLC.Com,...
-
One major indicator of student success is being in the right major. It is really hard to get motivated toward academic success when you are not enjoying what you are learning about. Be sure to follow...
-
Please help me with this its the Ogopogo from Joe Laycocks article Article name; Mothman: Monster, Disaster and Community Topic: Choose only ONE of these three possibilities. 1. Use Laycock's...
-
PowerPoint is a visual aid for many speakers. Discuss some points to remember when adding text to a PowerPoint presentation. How do they help make the experience better for the audience and the...
-
The spin-orbit interaction in an sodium atom is given by H = 21.5, where I and 5 denote the orbital and spin angular momenta of the electron, respectively. The splitting between the levels P3/2 and...
-
Three successive resonance frequencies in an organ pipe are 1310, 1834, and 2358 Hz. (a) Is the pipe closed at one end or open at both ends? (b) What is the fundamental frequency? (c) What is the...
-
Use the Excel Solver to directly solve (that is, without linearization) Prob. 27.6 using the finite-difference approach. Employ x = 0.1 to obtain your solution.
-
Determine the mean value of the function (x) = - 46 + 45x 14x2 + 2x3 0.075x4 Between x 2 and 10 by (a) Graphing the function and visually estimating the mean value, (b) Using Eq. (PT6.4) and the...
-
Determine the real roots of the simultaneous nonlinear equations y = x2 + x + 0.75 y + 5xy = x2 Employ initial guesses of x = y = 1.2 and use the Solver tool from Excel or a library or package of...
-
In this chapter, we had only expressed eigenstates of the harmonic oscillator Hamiltonian through repeated action of the raising operator, \(\hat{a}^{\dagger}\). This gives us a concrete algorithm...
-
In this chapter, we noted that the Hilbert space of the harmonic oscillator corresponds to all those states that can be accessed from the ground state through action by an anatic function of...
-
Supersymmetry is a proposed extension of the symmetries of space-time beyond that of just familiar Lorentz transformations and translations. A supersymmetry transformation interchanges fermions and...
Study smarter with the SolutionInn App