onsider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 L/min, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.

Answers

Answer 1

Answer:

Explanation:

From the given information;

Let Q(t) = mass of dye in the tank as a function of time

The mass in the tank = 200 L × (1g/L) = 200 g

Using the law of mass conservation;

[tex]\dfrac{dQ}{dt} = \text{(Rate of incoming mass)- (rate of outgoing mass)}[/tex]

[tex]\dfrac{dQ}{dt} = (2 L/min ) (0 \ g/L) - (2 L/min ) (\dfrac{Q}{200}g/L)[/tex]

[tex]Q' = \dfrac{-Q}{1000}[/tex]

Q(0) = 200

By finding the solution to the ODE using the method of separation of variables;

[tex]\dfrac{Q'}{Q} = -0.01[/tex]

[tex]Q(t) = Ce^{-0.01t}[/tex]

Using the initial condition;

200 = Q(0) = C

[tex]Q(t) = 200e^{-0.01t}[/tex]

1% of 200g = 2g of dye solution

[tex]2 = 200e^{-0.01t}[/tex]

[tex]e^{-0.01t}=0.01[/tex]

[tex]t =\dfrac{ In(0.01}{-0.01}[/tex]

t = 460.5 hours


Related Questions

please help asappp‍♀️!

Answers

Can you show me the passage?
Although I don’t have a passage to fall back on completely, I can help out.

The answer to question 2 I believe Is D.
And I believe the answer to question 3 is A.

Hope this helps! :))

Can anyone help out??

Answers

não se esqueça de mim não sei

3

2

1

4

6

5

not a 100% sure but i think this is it.

How do most animals produce offspring

Answers

Answer:

Some animals produce offspring through asexual reproduction while other animals produce offspring through sexual reproduction. Both methods have advantages and disadvantages. Asexual reproduction produces offspring that are genetically identical to the parent because the offspring are all clones of the original parent.

Explanation:

Write the chemical formula of the ionic compound that is formed with Na+ combines with S2-

Answers

Answer:

Compounds are formed by the combination of cation and anion.

On combining all the possible positive ions with negative ions, we get

CuCl  

2

​  

,CuSO  

4

​  

,NaCl,Na  

2

​  

SO  

4

​  

,FeCl  

3

​  

,Fe  

2

​  

(SO  

4  

)  

3

Explanation:

ur ans

True or False:


Houston, Texas received approximately 2 inches of snow on February 15, 2021. Based on this, we can now say Houston's climate consists of long, freezing winters and yearly snowfall. Please answer ASAP. Thanks

Answers

Answer:

False.

Explanation:

I majored in Chemistry

Explain the concept of law of multiple proportions

Answers

Law of multiple proportions, statement that when two elements combine with each other to form more than one compound, the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.

40 points for this question PLEASE HELP SOMEONE ILL GIVE BRAINLIEST

Answers

Answer:

whats the question?

Explanation:

Choose the correct statement.


A) Anions gain electrons having a charge of positive.

B) Cations lose electrons having a charge of positive

C)Cations lose electrons having a charge of negative.

D)Anions gain electrons having a charge of neutral.

Answers

Answer:

B) Cations lose electrons having a charge of positive.

Explanation:

Hello there!

In this case, it is widely known that ions are classified as positive cations and negative anions, since the former is produced when a metal loses electrons and the latter when a nonmetal gains electrons; in such a way, the correct choice is:

B) Cations lose electrons having a charge of positive.

Best regards!

Answer:

Either B or A

Explanation:

The other answer said B, and I said either B or A, so anyone who is currently cheating on a chemistry test, try B

Which would occur if a ball x were rolled across a smooth floor to collide with a similar ball y that was stationary

Answers

Answer:

For a collision where objects will be moving in 2 dimensions (e.g. x and y), the momentum will be conserved in each direction independently (as long as there's no external impulse in that direction). In other words, the total momentum in the x direction will be the same before and after the collision.

Explanation:

What is the name for Si3S

Answers

Answer:

Silicopropane

Explanation:

The carbon cycle is the exchange of carbon between the lands, the oceans the atmosphere and the earth's interior
O True
O False

Answers

Hi the answer is True

Answer:

True

Explanation:

Carbon is the backbone of life on Earth. Most of Earth's carbon, about 65,500 billion metric tons is stored in rocks. The rest is in the ocean, atmosphere, plants, soil, and fossil fuels. Carbon flows between each reservoir in an exchange called the carbon cycle, which has slow and fast components.

2. Explain in your own words what will happen to the chemical structure of aspirin when it is in solution at pH 1.0. Compare this to what will happen to the chemical structure of aspirin at pH 8.0. Highlight your answers by drawing appropriate chemical structures for aspirin at each of the pH values.

Answers

Answer:

don't sent such messages whatever you are

According to the concept of solubility and dissociation, aspirin at pH 8 and 10 undergoes dissociation to yield ions.

What are ions?

An ion is defined as an atom or a molecule which has a net electrical charge. There are 2 types of ions :1) cation 2) anion . The cation is the positively charged ion and anion is the negatively charged ion . As they are oppositely charged they attract each resulting in the formation of ionic bond.

Ions consisting of single atom are mono-atomic ions while which consists of two or more ions are called as poly-atomic ions . They are created by chemical interactions . They are very reactive in their gaseous state and rapidly react with oppositely charged ions resulting in neutral molecules.Ions are generated on dissociation.

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How many atoms is 45 moles of silicon (Si)?

Answers

I think 270.9. I hope this helps

How many atoms are in 6.30 moles of sulfur (S)?

Answers

Answer: 3.79*10^24 atoms

Explanation:

1 mole = 6.02214076*10^23 atoms

Rings are a characteristic of

Answers

Answer:

physical

Explanation:

if it is asking to determine what it is a sign of or how to identify that characteristic it would be a physical.

6.25 x 10^22 Molecules of BR2 = ?moles

Answers

Answer:

0.104 mol Br₂

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Chemistry

Atomic Structure

Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

Using Dimensional AnalysisExplanation:

Step 1: Define

6.25 × 10²² molecules Br₂

Step 2: Identify Conversions

Avogadro's Number

Step 3: Convert

Set up:                              [tex]\displaystyle 6.25 \cdot 10^{22} \ molecules \ Br_2(\frac{1 \ mol \ Br_2}{6.022 \cdot 10^{23} \ molecules \ Br_2})[/tex]Multiply/Divide:                                                                                               [tex]\displaystyle 0.103786 \ mol \ Br_2[/tex]

Step 4: Check

Follow sig fig rules and round. We are given 3 sig figs.

0.103786 mol Br₂ ≈ 0.104 mol Br₂

Kinetic energy is energy stored in an object due to its position.
True
Or
False

Answers

The answer is false.

Answer:

[tex]\boxed {\boxed {\sf False}}[/tex]

Explanation:

Kinetic energy is the energy of movement or energy at work. An example is a ball rolling down a hill.

Potential energy is stored energy due to the position of an object. For example, a ball resting at the top of a hill.

The question incorrectly described potential energy as kinetic energy. Therefore, the answer is false.

I need help ASAP pls the last question

Answers

Answer:When more gas particles enter a container, there is less space for the particles to spread out, and they become compressed. ... The particles exert more force on the interior volume of the container. This force is called pressure.

Explanation:

What causes the convection cell to turn left at point B?

P.S: This is for my science notes so try and make it a little simple thx

Answers

Answer:

Point B is in Between two convection, and is just below a ridge . This cause the cell to turn left because the flow of fluid hits the bottom of the crust this is the best I can do to Help you understand.

Argon makes up about 0.93% of our atmosphere. If the atmospheric pressure is 760 mm Hg, what is the pressure contributed by argon?

Answers

Answer:

[tex]P_{Ar}=7.068mmHg[/tex]

Explanation:

Hello!

In this case, according to the given percent of argon in our atmosphere, it is possible to compute the pressure contributed by it as shown below:

[tex]P_{Ar}=P_{atm}*0.93\%[/tex]

Thus, we plug in to obtain:

[tex]P_{Ar}=760mmHg*0.0093\\\\P_{Ar}=7.068mmHg[/tex]

Best regards!

The pressure of the argon gas will be equal to [tex]P_{Ar}=7.068 \rm\ mmHg[/tex]

What will be the pressure of the argon gas?

Pressure is defined as the normal force acting on any surface in the case of gases it is the normal force acting on the surface of the earth.

now it is given in the question that the Argon contains 0.93%  part in the atmosphere.

So here are the calculations

[tex]\rm P_{Ar}=P_{Atm}\times 0.93[/tex]%

[tex]\rm P_{Ar}=700\times 0.93[/tex]%

[tex]\rm P_{Ar}=7.068\ mmHg[/tex]

Thus the pressure of the argon gas will be equal to [tex]P_{Ar}=7.068 \rm\ mmHg[/tex]

To know more about Atmospheric gases follow

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which statement describes the energy and bonding changes as two atoms of fluorine become a molecule of fluorine?

Answers

Energy is released as a newly bond is formed into place

Statement that gives description as regards energy and bonding changes between atoms such as fluorine become a molecule of fluorine, bond Energy is released as a bond is formed. Thus option 4 is correct.

What is bond energy ?

The Bond Energy otherwise called as bond enthalpy  is a quantity that offers insight into the strength of a chemical bond.

The  ‘bond energy’ can also be represented as “the average value obtained from the bond dissociation enthalpies of all the chemical bonds  in a given chemical compound.

The bond energy of a chemical bond is directly proportional to the stability of that bond which implies that the greater the bond energy o between two atoms, the greater the stability of that chemical bond.

For more details regarding bond energy, visit

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Your question was incomplete. The probable question.

Which statement describes the energy and bonding changes as two atoms of fluorine become a molecule of fluorine?

1.Energy is absorbed as a bond is broken.

2.Energy is absorbed as a bond is formed.

3.Energy is released as a bond is broken.

4.Energy is released as a bond is formed.

why do you think they stilk proruxe bright flowers to attract bees?

Answers

Answer:

A

Explanation:

In order for plants to entice pollinators, they must first offer their favorite foods: nectar and protein. Since most pollinators fly, the colors of a flower must attract them; therefore, the brighter the flower, the more likely it will be visited. ... For instance, bees are attracted to bright blue and violet colors.

hope this helps you out...

A ) flowers need honey that bees provide in order to grow

Explain how Milankovitch cycles can be used to predict future changes in Earth's climate

Answers

using deep-sea sediment cores found that Milankovitch cycles correspond with periods of major climate change over the past 450,000 years, with Ice Ages occurring when Earth was undergoing different stages of orbital variation.

5.478 grams of potassium acetate and 2.143 grams of iron(III) hydroxide are added to a beaker containing 100.0 mL of water and stirred vigorously. A solid settles to the bottom of the beaker. If the water is decanted and the solid is dried, what is the maximum mass of solid that should be recovered

Answers

Solution :

[tex]$Fe(OH)_3+3CH_3COOK \rightarrow Fe(CH_3COO)_3 + 3KOH$[/tex]

(iron          (potassium

hydroxide)     acetate)

Number of moles of [tex]$Fe(OH)_3 = \frac{\text{mass of }Fe(OH)_3}{\text{molar mass of }Fe(OH)_3}$[/tex]

                                                [tex]$=\frac{2.143 \ g}{106.867 \ g/mol}$[/tex]

                                                = 0.02005 mol

Number of moles of [tex]$CH_3COOK = \frac{\text{mass of }CH_3COOK}{\text{molar mass of }CH_3COOK}$[/tex]

                                                [tex]$=\frac{5.478 \ g}{98.15 \ g/mol}$[/tex]

                                                = 0.0585 mol

Since 1 mol of [tex]$Fe(OH)_3$[/tex] reacts with 3 mols of [tex]$CH_3COOK$[/tex]

Therefore, number of moles of [tex]$CH_3COOK$[/tex] reacted [tex]$=\frac{0.0585}{3 }$[/tex] mol

                                                                                    = 0.0195 mol

Therefore the limiting reagent is [tex]$CH_3COOK$[/tex] and hence the number of moles of [tex]$Fe(CH_3COO)_3$[/tex] produced is 0.0195 mol

Amount of [tex]$Fe(CH_3COO)_3$[/tex]  produced = moles x molar mass

                                                           = 0.0195 moles x 232.98 g/mol

                                                          = 4.5431 g

Which example is NOT a physical change? *
A. Green bananas turning yellow as they ripen.
B. Mixing ingredients to make a cookie.
C. Using dye to change the color of shirt
D. Getting your hairs cut.

Answers

Answer:

A

Explanation:

it is no longer going to unripen/ went through a chemical reaction                                                                                

What would be an inference you could make about this cat?

Answers

Answer:

pickles are ligit good

Explanation:

i like pickles but not his

i don’t get this- it’s due tmrw

Answers

Insulate the cup, use a lid

A compound decomposes by a first-order process. If 36 %% of the compound decomposes in 60 minutes, the half-life of the compound is ________minutes. A compound decomposes by a first-order process. If 36 of the compound decomposes in 60 minutes, the half-life of the compound is ________minutes. -5 93 41 -18 39

Answers

Answer: The half-life of the compound is 93 minutes

Explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant =100

a - x = amount left after decay process = (100-36) = 64

a) for completion of 36 % of reaction

[tex]60=\frac{2.303}{k}\log\frac{100}{100-36}[/tex]

[tex]k=\frac{2.303}{60}\log\frac{100}{64}[/tex]

[tex]k=0.0074min^{-1}[/tex]

b) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]

[tex]t_{\frac{1}{2}}=\frac{0.693}{0.0074min^{-1}}=93min[/tex]

The half-life of the compound is 93 minutes

Carbon dioxide is produced by the human body through
O combustion
O respiration
O photosynthesis
O decomposition

Answers

Answer:

Respiration

I hope this helps!

What is the rate of reaction

Answers

Answer:

The reaction rate is defined as the amount of substance that is transformed into a given reaction per unit volume and time.

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