You are given the task of building detention ponds to remove settleable solids from a small stream prior to discharge into a lake. The ponds must be 2 m deep, the flow in the stream is 20 cfs, the solids settle at a rate of 0.2 m/day, and you must achieve a steady-state removal of 65% of the solids.
a. Determine the size of a single CSTR to achieve the desired removal.
b. Determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal.

Answers

Answer 1

Answer:

a) 513775.5 m^3  ≈ 51.38 * 10^4 m^3

b)  256887.75 m^3 ≈ 25.69 * 10^4 m^3

Step-by-step explanation:

Given data :

Depth of pond = 2m

flow in the stream = 20 cfs = 4.8931 * 10^4 m^3/day

settling rate = 0.2 m/day

rate constant ( k )= 0.2 / 2 = 0.1 / day

steady-state removal of the solids required = 65%

A) determine size of a single CSTR to achieve 65%

First determine the time required to achieve this using the relation below

C = [tex]c_{o} e^{-kt}[/tex]

∴ t = [tex]\frac{-1}{k}* ln( 1 - 0.65 )[/tex]

     = ( -1 / 0.1 ) * (- 1.05 ) = 10.5 day

The size of a single CSTR required = ( 4.8931*10^4 ) * (10.5 ) = 513775.5 m^3

B) determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal

sizes of a pair = 513775.5 / 2 = 256887.75 m^3


Related Questions

A curtain manufacturer uses a 909090-yard roll of material to make 777 identical curtains. There was 7.757.757.75 yards of material left over.
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Answer:

um 93455.9999?~~~~~

Step-by-step explanation:

I need help with this.​

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8

Step-by-step explanation:

you use the 45-45-90 method and get 8

Answer:8

Step-by-step explanation:

11. The coordinate grid shows points P, Q, R, and S. All the coordinates for these points
are integers.


What is the value of the x-coordinate of point P?

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Answer:

-6

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

What is 17/32 as a decimal?

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Answer:

.53125

Step-by-step explanation:

17 ÷ 32

0.53125 is your answer

Will give brainliest
A ?
B?
C?

Answers

Answer:

A) convex

B) concave

C) scalene

Step-by-step explanation:

A) Convex:

A concave polygon have "caves."

All diagonals fit inside of a convex polygon.

B) Concave:

They have at least one diagonal on the outside. Not all fit snugly inside like a convex polygon.

C) Scalene:

Scalene polygons have sides that are all unequal from each other.

Below is a picture of convex and concave polygons.

How do i write the quotient as a mixed number?

Answers

Answer:

divide the numerator by the denomantor

Step-by-step explanation:

A fraction in which the numerator is smaller than the denominator, like 1/3 or 2/5 is called a proper fraction. A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction. A fraction with a value greater than or equal to 1 is an improper fraction.)

As we have shown above, mixed numbers can be written as improper fractions. Similarly, improper fractions can be written as mixed numbers.

look at the equations below
ax+ 3y=-5
2x-6y=10

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume that they want the value of a when the solution exists.

2(ax+3y)+2x-6y=2(-5)+10

2ax+6y+2x-6y=-10+10

2ax+2x=0

ax+x=0

ax=-x

a=-1

You could then solve for x and y if you wanted x=5 and y=0

Unless a was a typo :)

If I have 110 peanut butter sandwiches, 80 turkey sandwiches, 40 excell sandwiches and 70 ham and cheese sandwiches. how many sandwiches are likely to be ham and cheese sandwiches.

Answers

Answer:

70 ham and cheese sandwhiches

nice try.

Answer:

70

Step-by-step explanation:

Determine if the sequence is Arithmetic or Geometric:
16, 8, 4, ?

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Answer:

It is geometry

Step-by-step explanation:

Solve for x. + 9 = 30 x = 18 x = 24 x = 34 x = 44

Answers

Answer: 11 = x

Step-by-step explanation:

a Basketball ticket costs $45 but they are having a promotional game night and all tickets are 25% off what is the new price of the ticket​

Answers

Answer:

Should be $11.25

Step-by-step explanation:

Since 25% is 1/4 you can just divide 45 by 4.

45/4 = 11.25

Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75

Step-by-step explanation:

Which fraction rounds to 5?

Answers

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

help me plzz i beg you plzz i appreciate the help

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Answer:

B? - Hopes it helps

Step-by-step explanation:

Happy early valentines Day! - p.s mark me brainly and another bessing comes ur way!

Pls I need help for my grade

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It should be D because the slope is 1 and the y intercept is -50

(10p) An actuary has discovered that policyholders are three times as likely to le two claims as to le four claims. The number of claims led has a Poisson distribution. Compute the variance of the number of claims led. You can use, without a proof, that the variance of a Poisson distribution is equal to its mean.

Answers

Answer:

Hello your question is poorly written below is the complete question

An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean

answer : variance = 2

Step-by-step explanation:

compute the variance of the number of claims filed

x = number of claim filed

For Poisson distribution

mean = variance = Л

∴ Variance = 2

8 divided by 1/12 plzzz thanks

Answers

Answer:

96

Step-by-step explanation:

8 divided by 1/12

8/1 divided by 1/12

8/1 x 12/1

96

8 divided by 1/2 is 16

Solve for the value of m.

Answers

Answer:

Step-by-step explanation:

8m + 4° + 38° = 90°{ being complementary angles}

8m + 42° = 90°

8m = 90° - 42°

8m = 48°

m = 48° /8

m = 6°

Hope it will help :)

(Click the picture)
1/6 of 12
1/6 of 24
1/6 of 36
1/6 of 48
1/6 of 0

Answers

Hey, sorry about the guy that gave you a complete joke answer. I got you brother.

In order, the answers are 2, 4, 6, 8, and 0

Ana, Profesora de Psicología de una escuela, planeo realizar un estudio sobre las
respuestas de los espectadores a ciertos aspectos de las peliculas A By Después
de encuestar su clase de 55 estudiantes, determinó la siguiente información: 17
han visto A. 17 han visto B. 23 han visto c. 6 han visto A y B. & han visto A y C 10
han visto By C 2 han visto las tres peliculas.
a. ¿Quántos estudiantes han visto exactamente dos de estas peliculas?
b. ¿Cuántos estudiantes han visto exactamente una de estas peliculas?
C. ¿Cuántos estudiantes no han visto estas películas?
d. ¿Cuántos estudiantes han visto A. pero ninguna de las otras?​

Answers

Answer:

The answer is below

Step-by-step explanation:

El número de personas que vieron solo A = n (A) = 17

El número de personas que vieron solo B = n (B) = 17

El número de personas que vieron solo C = n (C) = 23

El número de personas que vieron A y B = n (A ∩ B) = 6

El número de personas que vieron A y C = n (A ∩ C) = 8

El número de personas que vieron B y C = n (B ∩ C) = 10

El número de personas que vieron las tres películas = n (A ∩ B ∩ C) = 2

1) Número de estudiantes que han visto dos películas = n (A ∩ B) + n (A ∩ C) + n (B ∩ C) = 6 + 8 + 10 = 24

2)

n (A∩ B '∩ C') = n (A) -n (A ∩ B) -n (A ∩ C) -n (A ∩ B ∩ C) = 17-8-6-2 = 1

n (A'∩ B ∩ C ') = n (B) -n (A ∩ B) -n (B ∩ C) -n (A ∩ B ∩ C) = 17-6-10-2 = 1

n (A'∩ B '∩ C) = norte (C) -n (UNA ∩ C) -n (B ∩ C) -n (UNA ∩ B ∩ C) = 23-8-10-2 = 3

estudiantes que no han visto = 55 - n (A∩ B '∩ C') -n (A'∩ B ∩ C ') - n (A'∩ B ∩ C') - n (A ∩ B) -n ( B ∩ C) -n (UNA ∩ C) -n (A∩ B ∩ C) = 55-1-1-3-6-8-10-2 = 24

3)

número de alumnos que no han visto =

4)

número de estudiantes que vieron solo A = n (A∩ B '∩ C') = 1

What is the length of the line segment below?
(107)
(3.1

Answers

Do you have a picture?

Aisha has $300 in her account. On average, she deposits $14 into her account, every day, for k days. Enter an expression to to calculate how much money she has in her account after k days.

Answers

Answer:

342

Step-by-step explanation

14+14+14 = 42

42 + 300 = 342

The Coffee Shop around the Corner (CS) is famous for its fresh-made muffins. Hank, the owner of CS, knows that the demand for muffins depends very much on the timeof the day: The demand is high in the morning, decreases in the afternoon hours, and is atits lowest in the evening. Hank is having trouble deciding how many muffins to make foreach period of the day. He asked you to help him forecast the demand. If you do a goodjob in forecasting the demand for tomorrow, Hank will pay you to do this job on a recurringbasis. The following is the demand data Hank collected in the past three days:
Day 1 2 3
Period Morning Afternoon Evening Morning Afternoon Evening Morning Afternoon
Evening
37 25 9 48 28 14 53 33
17

Answers

Answer:

The responses to the given question can be defined as follows:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]Day \ \ \ \ \ \ \ \ \ \ Period \ \ \ \ \ \ \ \ \ \ Demand \ \ \ \ \ \ \ \ \ \ 5-period moving average[/tex]

[tex]1 \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \ 37 \\\\[/tex]

            [tex]Afternoon \ \ \ \ \ \ \ \ \ \ \ 25 \\\\ Evening \ \ \ \ \ \ \ \ \ \ \ 9[/tex]

[tex]2 \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \48 \\\\[/tex]

           [tex]Afternoon\ \ \ \ \ \ \ \ \ \ \ 28 \\\\[/tex]

            [tex]Evening \ \ \ \ \ \ \ \ \ \ \ 14 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 29.4 \\\\[/tex]

[tex]3 \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \ 53 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 24.8\\\\[/tex]

              [tex]Afternoon \ \ \ \ \ \ \ \ \ \ \ 33 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 30.4\\\\Evening \ \ \ \ \ \ \ \ \ \ \ 17 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 35.2\\\\[/tex]

[tex]4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 29\\\\[/tex]

                 [tex]Afternoon\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 29.25\\\\Evening \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 34.33333\\\\[/tex]

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 250 pounds is Group of answer choices 0.9505 0.9772 0.0228 0.4505 0.0495

Answers

Answer:

0.0228

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.

This means that [tex]\mu = 200, \sigma = 25[/tex]

The probability of a player weighing more than 250 pounds is

This is 1 subtracted by the pvalue of Z when X = 250. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{250 - 200}{25}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

The probability of a player weighing more than 250 pounds is 0.0228

2x + 3y = 53
3x - y = 19
Work out the values of x and y.

Answers

Answer:

y = 11

x = 10

See pictures for how to do it and ask me if you still dont understand

PLEASE HELP LAST ONE ILL MARK BRAINLIEST

Answers

Answer:

p and q, p and r, q and s

Step-by-step explanation:

hope that helps

What are Dwarf planets in the kuiper belt called?

Answers

Answer:

pluto, rhea, theres more but theres a lot but we call them planetoids

Step-by-step explanation:

Answe:

Haumea, Pluto, and Makemake

Step-by-step explanation:

i think

solve each proportion algebraically. show your work. n/6 = 25/30​

Answers

i’m pretty sure the answer is n=5

A collection of dimes and nickels is worth $6.70. There are 76 coins in all. How many dimes and how many nickels are there?


please help

Answers

Answer:

58 dimes and 18 nickels

Step-by-step explanation:

Un objeto es lanzado verticalmente hacia arriba con una rapidez de 34 m/s
A. ¿que rapidez tendrá cuando le faltan 12 m para alcanzar la altura máxima?
B. ¿qué tiempo tarda en alcanzarla?

Answers

Answer:

a

Step-by-step explanation:

aa

The bar diagram represents 12 months in a year. If u slept 33% of the year how many months are spent sleeping? Represent your answer using the bar diagram.

Answers

Answer:

Rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.

Step-by-step explanation:

Given that in a year there are a total of twelve months, if he slept for 33% of the year, to determine how many months are spent sleeping the following calculation must be performed:

12 - (12 x 33/100) = X

12 - (12 x 0.33) = X

12 - 3.96 = X

8.04 = X

12 - 8.04 = 3.96

Thus, rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.

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