In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended solids. To flush this material out of the tank, water is pumped into the vessel at a rate of 40,000 l/h. Liquid containing solids leaves at the same rate. Estimate the concentration of suspended solids in the tank at the end of 4 h. You can assume that the initial concentration of solids in the tank

Answers

Answer 1

Answer:

[tex]Concentration = 8.26kg/m^3[/tex]

Step-by-step explanation:

Given

  [tex]V = 440000L[/tex] --- volume of tank

[tex]m = 10,000 kg[/tex] --- solid mass

[tex]r = 40000L/hr[/tex] --- outflow rate  

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

[tex]Amount = r * Time[/tex]

[tex]Amount = 40000L/hr * 4hr[/tex]

[tex]Amount = 40000L * 4[/tex]

[tex]Amount = 160000L[/tex]

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

[tex]Ratio = \frac{Amount}{Volume}[/tex]

[tex]Ratio = \frac{160000L}{440000L}[/tex]

[tex]Ratio = \frac{16}{44}[/tex]

[tex]Ratio = \frac{4}{11}[/tex]

Next, calculate the amount of solid left.

[tex]Amount (Solid)= Ratio * m[/tex]

[tex]Amount (Solid)= \frac{4}{11} * 10000kg[/tex]

[tex]Amount (Solid)= \frac{40000}{11}kg[/tex]

[tex]Amount (Solid)= 3636kg[/tex]

Lastly, the concentration is calculated as:

[tex]Concentration = \frac{Amount (Solid)}{Volume}[/tex]

[tex]Concentration = \frac{3636kg}{440000L}[/tex]

Convert L to cubic meters

[tex]Concentration = \frac{3636kg}{440000* 0.001m^3}[/tex]

[tex]Concentration = \frac{3636kg}{440m^3}[/tex]

[tex]Concentration = 8.26kg/m^3[/tex]


Related Questions

HELP PLS I SUCK AT MATH IF U HELPED U SAVED MY LIFE THANK YOU

Answers

Add all the hours from Monday to Wednesday after that you subtract the total from the overall hours

Your family is driving to the beach. You travel 200 kilometers in the first two hours. During the next hour, you stop for lunch and only travel 25 kilometers. What was tour average speed?

A) 60 km/h
B)75 km/h
C)100km/h
D)225 km/h

Answers

Answer: B) 75 km/h (from this answer my brother told and he good at math so I hope this is Correct.)

The digit 2 in which number represents a value of 2 thousandths?

Answers

that number would be 0.002

Answer:

0.002

Step-by-step explanation:

2 thousandths is in the thousandths place, which is 3 digits to the right of the decimal point. Hope this helped!

y=x^2-10x-5
what’s (x,y)

Answers

Answer:

(5, -30)

Step-by-step explanation:

Find the measurement indicated in each parallelogram.
1)
с
40°
D
E

Answers

Answer:

D=40

C=140

E=140

Step-by-step explanation:

opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.

Can someone help me? I’ll reward points + brainalist (btw only need help with number 13)

Answers

I believe the answer is A. Can I please have brainliest I need it to get to virtuso have a good day :)

A= B= b= what’s the answer i been trying to solve all day

Answers

Answer:

Step-by-step explanation:

We are given the triangle  ABC  and told to find ∠A, ∠B, and side b.  Also we are told that side c= 54 .  side a=64 and ∠C = 32°

we need law of sines    a / sin A =  b / sin B =  c / sin C

let's use law of sines to find the other angles

64 / sin A = 54 / sin(32)

I'm just going to swap the fractions on both sides , just to make it easier

sin A / 64 = sin(32) / 54

∠A = arcSin(64 * sin(32) / 54)

∠A = 38.9066°

∠B + ∠A + ∠C = 180

∠B = 180 - 32 - 38.9066

∠B  = 109.0934°

let's find side b now

sin B / b = sin(32) / 54

sin(109.0934°) / b = sin(32) / 54

54 * sin(109.0934°) /  sin(32) = b

96.2963 = b

What is the volume of the rectangular prism 1.5" by 1" by 3.5"

Answers

Answer:

5.25

Step-by-step explanation:

3. What value of makes a true equivalent fraction statement.
5 30
54
C

Answers

Answer:

[tex]x[/tex] = 9

Step-by-step explanation:

We need to find [tex]x[/tex] which will make an equivalent fraction statement.

[tex]\frac{5}{x} = \frac{30}{54}[/tex]

5 x 6 = 30

[tex]x[/tex] x 6 = 54 (to find [tex]x[/tex] we should do 54 ÷ 6 which = 9)

So:

[tex]\frac{5}{6} = \frac{30}{54}[/tex]

[tex]x[/tex] = 9

hope this helps :)

Answer is 9
5x6 is 30
9x 6 is 54

Uri’s family has an old shower head. It releases about 5 gallons of water per minute. If Uri takes a 5-minute shower, how much water will she use? Help!

Answers

Answer:

25 gallons

Step-by-step explanation:

5 gallons per minute, 5 minutes, 5, 10, 15, 20, 25. multiple 5 by 5

Answer:

The answer is 25 gallons of water

Step-by-step explanation:

I just took the test and seriously it is correct!

Jordan needs 5 pounds of chips for a party. The bags he is buying are 24 oz each. According to the number line, how many bags will he need to buy to have at least 5 pounds?

Answers

Answer:

3.33 but he cant buy 3 and 1/3 of a bag of chips so 4

Step-by-step explanation:

Question
How many solutions does the system of nonlinear equations graphed below
have?

Answers

Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system. Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

Plumbing A school custodian discovered a leak in a water pipe. The custodian
1,664 fluid Ounces of water had leaked out. How many gallons of water is this? Use the conversion
1 gallon
factor
128 fluid Ounces
1,664 fluid ounces = gallons

Answers

Answer:

13 gallons of water

Step-by-step explanation:

Find the surface area of the figure

Answers

Answer:

122.30 cm²

Step-by-step explanation:

The figure is a triangular prism.

Formula for calculating surface area of a triangular prism = bh + L(S1 + S2 + S3)

Where,

b = 11 cm

h = 4.3 cm

S1 = 8 cm

S2 = 6 cm

S3 = 11 cm

L = 3 cm

Surface area = 11*4.3 + 3(8 + 6 + 11)

= 47.3 + 3(25)

= 122.3 cm²

You want to deposit 6% of $53,070.00 each year into an IRA(Individual Retirement Account). How much of your salary are you depositing in a year?

Answers

You would take 53,070 * 0.06 = 3184.20

The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer

Answers

Answer:

Step-by-step explanation:

r = 2.5 ft

h = 25 ft

Volume of cylindrical pipe = πr²h

                       = 3.14 * 2.5* 2.5 * 25

                       = 490.625    {as tenth place value is ≥ 5, add 1 to the whole number}

                      = 491 cubic feet

Nevaeh is a cruise specialist and earned $486 commission after booking a cruise that cost $5,400. What is her rate (in %) of commission?

Answers

18.6% return of commission

Pete is packing toys into boxes. Each box holds 30 toys. There are 94 toys and 3 boxes. How many extra toys are there?

Answers

Answer:

There are 4 extra toys.

Step-by-step explanation:

Hey there!

We're given the following information:

There are 94 total toys.There are 3 boxes.Each box will hold 30 toys.

Therefore, we can realize that this will be a division problem since something is being put into another item:

Lone toys → toys in boxes

We have 3 boxes that will fit 30 toys each, so let's find out how many toys are accounted for with these boxes.

[tex]30 \times 3 = 90 \ \text{toys}[/tex]

Now, we can just subtract the total number of toys from the accounted amount of toys.

[tex]\text{94 total toys - 90 accounted toys = 4 remaining toys}[/tex]

Therefore, we know that remaining is a synonym of extra, so there are a total of four toys that are left over.

Answer:

4

Step-by-step explanation:

90/30 = 3 boxes

94-90 = 4 extra boxes

The homecoming dance committee plans to conduct a survey to determine
the student body's opinion on a theme for the dance. Which sampling method
would be most likely to result in nonresponse bias?
A. Handing a survey to all the students who attended the previous
year's homecoming dance
B. Entering a second-period math class and surveying all the
students in that class
C. Standing at the school entrance and surveying every 5th student
that walks in
D. Emailing a survey to all students, but only freshman girls respond

Answers

Answer: It's D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Entering a second-period math class and surveying all the students in that class

What is the least common multiple of 41 and 50?


PLEASE HELP ME!!!!!!!​

Answers

Answer:

2050

Step-by-step explanation:

Please SHOW YOUR WORK!

Thanks In Advance, Will Mark Brainliest!

Answers

Hey don’t fall for the person above me they are trying to hack

Identify the angles (Interior vs Exterior)

Please help! I will give you a heart !

Answers

Same side interior
Alternate exterior
Same side interior
Alternate exterior
Alternate interior

(In order)

Help! ITS IMPORTANT FOR ME PLEASE!!

Answers

Answer:

x= 69 - 55

×=14

I think this helpful for you

Answer:

x = 124 degree

Step-by-step explanation:

Sum of all interior angles of triangle = 180

69+55= 124

Therfore third angle, 180-124= 56

Linear pair= 180

180-56= 124 degree

therefore x= 124 degree

Mark as brainliest

You are baking a casserole. The recipe calls for of a cup of beans to
make 5 servings. How many cups of beans would you need to make 25
servings?

Answers

Answer: 5 cups of beans

Step-by-step explanation:

25/5=5

OR

5•5=25


There are 900 students at a school. You receive two thirds of he votes for best student ever! About how many
votes would you expect to receive?

Answers

Answer:

~600 votes

Step-by-step explanation:

Notice how 900 is a multiple of 3. Multiplying by 2/3 is the same as saying as divide the total by 3, then multiply that result by 2. Thusly, 900/3=300 and 300*2=600. Therefore, you should expect around 600 votes.

If I helped, a brainliest would be greatly appreciated!

Which model is 85% shaded?
Done

Answers

Answer:

I would need to see the models to answer this question.

Answer:

?

Step-by-step explanation:

1) Una bicicleta circula en línea recta a una
velocidad de 15km/h durante 45 minutos. ¿Qué
distancia recorre?

Answers

Answer:

the distance covered is 11.25 km

Step-by-step explanation:

Given that

The speed of the bicycle is 15 km/h

And, the time taken of the bicycle is 45 minutes

We need to determine the distance covered

As we know that

Speed = Distance ÷ Time

So, distance = Speed × time

= 15 km /h × 0.75 hours

= 11.25 km

The 0.75 hours come from

= 45 minutes ÷ 60 minutes

= 0.75 hours

Hence, the distance covered is 11.25 km

Please help, I don't understand anything about this question so I need a step-by-step answer so I am able to understand.

Answers

Answer:

First box, 0.8 - Green

Second Box - 0.4 - not green

Last box ( Bottom) - 0.7 - not green

b) 0.8

c) 0.3

d) 0.8 X 0.6 = ?? ( use calc)

e) (0.8 X 0.4 ) + (0.2 x 0.7) = Ans

Step-by-step explanation:

Just know probability will always add up to 1 no mater what!!!

Write an equation in slope-intercept form for the line shown.

Answers

Answer:

this is the answer

Step-by-step explanation:

hope it helped!!!

4. He drove at Puerto Princesa City to Taytay at an average speed of 40 kph
How far did he travel?
The journey lasted for 5 hours and 15 minutes.
Kart bought a new motorcycle.
Problem
Solution

Answers

Step-by-step explanation:

Distance = Speed x Time

Given Distance = 40km/h or kph

Time = 5 hours 15 minutes

=

[tex]5 \frac{15}{60} \\ = 5 \frac{1}{4} \\ = 5.25hours [/tex]

Distance Travelled = 40 kph x 5.25 hours

= 210km

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