Air at 50 oc and 80 kpa enters the diffuser of a jet engine steadily with a velocity of 500 m/s. the inlet area of the diffuser is 0.4 m2. the air leaves the diffuser with a velocity that is very small compared to the inlet velocity. determine the temperature (in oc) of the air leaving the diffuser.

Answers

Answer 1

The temperature of the air leaving the diffuser is approximately 49.68 °C.

To explain the answer, the problem provides the initial conditions of the air entering the diffuser: temperature (T1) = 50 °C, pressure (P1) = 80 kPa, velocity (V1) = 500 m/s, and inlet area (A1) = 0.4 m².

The problem states that the air leaves the diffuser with a very small velocity, implying that the kinetic energy change is negligible. Therefore, we can assume that the process is adiabatic and isentropic, allowing us to apply the conservation equations.

Using the conservation of mass equation, we can determine the exit area (A2) using the equation: A1V1 = A2V2. Since V2 is very small compared to V1, we can assume A1V1 ≈ A2V2.

Then, using the ideal gas equation and assuming air behaves as an ideal gas, we can apply the isentropic process equation for an adiabatic expansion.

Solving the equations, we find that the temperature of the air leaving the diffuser (T2) is approximately 49.68 °C. This represents the final temperature of the air after it has undergone an adiabatic expansion in the diffuser.

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Related Questions

Plz help me with this plz pt.2

Plz help me with this plz pt.2

Answers

The answer to your question is A I think

Why is it necessary to heat the hydrate gently at first and then more strongly only after most of the water has been driven off

Answers

Answer:

To avoid spattering

Explanation:

If we are heating a hydrate to drive off the water of crystallization, we must initially heat the hydrate gently, at a lower temperature and then more strongly only after most of the water has been driven off in order to to prevent spattering.

Since we obtain the amount of water by the mass difference, Spattering  decreases the mass of water obtained and ultimately results in a lower percent of water being calculated for the hydrate.

Using the periodic table, choose the more reactive nonmetal.
Te or o

Answers

Te is the correct ok is this

In general, which airborne material is not likely to be affected by the filters or indoor air handling equipment?
a) particulates
b) pollen
c) soot
d) carbon monoxide

Answers

Carbon monoxide airborne material is not likely to be affected by the filters or indoor air handling equipment.

Carbon monoxide is a gas that is not likely to be affected by the filters or indoor air handling equipment. This is because most filters are designed to remove particulates, pollen, and soot, which are all solid or liquid particles.

It is important to have a carbon monoxide detector in your home, as carbon monoxide is a colorless, odorless, and tasteless gas that can be deadly in high concentrations. It is produced by incomplete combustion of fuels such as gasoline, wood, coal, and natural gas, and can build up in enclosed spaces without proper ventilation.

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Which of the following olosaic structures represents a poskwe 9 protons, 10 mentions and 10 elections 12 protons, 1814 neutrons and 12 elections 12 protons, 12 neutrons and 10 elections​

Answers

Answer:

migraine

Explanation:

d

for the reaction n2 (g) 3h2 (g) ↔2nh3(g) what is delta g at 298 k w

Answers

The ΔG° for the reaction N2 (g) + 3H2 (g) ↔ 2NH3 (g) at 298 K is -33.2 kJ/mol.

To calculate the standard Gibbs free energy change (ΔG°) for the reaction N2 (g) + 3H2 (g) ↔ 2NH3 (g) at 298 K, we need the standard Gibbs free energy of formation (ΔG°f) values for the compounds involved.

ΔG°f values at 298 K:

ΔG°f[N2 (g)] = 0 kJ/mol

ΔG°f[H2 (g)] = 0 kJ/mol

ΔG°f[NH3 (g)] = -16.6 kJ/mol

Using these values, we can calculate the ΔG° for the reaction:

ΔG° = ΣΔG°f(products) - ΣΔG°f(reactants)

= 2ΔG°f[NH3 (g)] - (ΔG°f[N2 (g)] + 3ΔG°f[H2 (g)])

= 2(-16.6 kJ/mol) - (0 kJ/mol + 3(0 kJ/mol))

= -33.2 kJ/mol

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which gas present in air has the highest boiling point​

Answers

Helium has the highest boiling point
Helium might be the right answer here but Xenon is in the air although it’s very rare it has the highest boiling point

Transforming raw materials of food into nutrients and energy is the job of the digestive system.true ore false?​

Answers

Answer:

True

Explanation:

The digestive system of organisms transforms raw materials of food into nutrients and energy laden substances that can be used by the body.

In the digestive process, both mechanical actions such as grind and chemical reactions occurs together.

The process breaks down complex organic compounds usually derived from plants and other animals into simpler units that are very readily useful for the body.

For example, the end product of rice after digestion is glucose which is an energy material which the body takes up for use.

if a solution is given to you, how will you determine whether it is acid,base or salt​

Answers

Answer:

If your lab has litmus paper, you can use it to determine your solution's pH. When you place a drop of a solution on the litmus paper, the paper changes color based on the pH of the solution. Once the color changes, you can compare it to the color chart on the paper's package to find the pH.

Explanation:

A solution's pH will be a number between 0 and 14. A solution with a pH of 7 is classified as neutral. If the pH is lower than 7, the solution is acidic. When pH is higher than 7, the solution is basic. These numbers describe the concentration of hydrogen ions in the solution and increase on a negative logarithmic scale.

For example, If Solution A has a pH of 3 and Solution B has a pH of 1, then Solution B has 100 times as many hydrogen ions than A and is therefore 100 times more acidic.

What volume would be needed to prepare 375 mL of a .45 M CaCl2 using only a solution of 1.0 M CaCl2 and water?

Answers

Answer:

168.75 ml

Explanation:

M1V1=M2V2

375ml*.45M=1M*V2

Indicate which factors affect the rate of a reaction.
Select all that apply.
A. Delta S degree
B. K
C. Delta G degree
D. Delta H degree
E. Concentration
F. Temperature
G. Ea
H. Catalysts
I. K eq

Answers

The following elements have an impact on reaction rate: a) temperature; e) concentration; and h) catalysts. the appropriate choices are a, e, and h.

How does the pace of a reaction change when temperature and concentration change?

A reaction's pace can be greatly impacted by variations in temperature and concentration. More particles have the energy to react as a result of a rise in temperature, hence the pace of reactions typically rises as well. The frequency of collisions also rises with an increase in reactant concentration, which results in a higher reaction rate. The collision theory of chemical kinetics can be used to explain these outcomes. However temperature and concentration variations can also impact the equilibrium constant and change the reaction's equilibrium position. Changes in enthalpy, entropy, and free energy can all be influenced by the presence of a catalyst, lowering the activation energy and speeding up the rate of a process.

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11 grams of carbon dioxide, CO2, is dissolved in 1000 mL of solution. Determine the molarity (M).​

Answers

Answer: The molarity is 0.25 M

Explanation:

Molarity of a solution is defined as the number of moles of solute dissolved per liter of the solution.

\(Molarity=\frac{n\times 1000}{V_s}\)

where,

n = moles of solute

\(V_s\) = volume of solution in ml

moles of \(CO_2\) = \(\frac{\text {given mass}}{\text {Molar mass}}=\frac{11g}{44g/mol}=0.25mol\)

Now put all the given values in the formula of molality, we get

\(Molarity=\frac{0.25\times 1000}{1000ml}\)

\(Molarity=0.25M\)

Therefore, the molarity is 0.25 M

Which describes an atom that has fewer neutrons than protons and more electrons than protons?

0negative compound
0positive compound
0positive ion
0negative ion

Answers

Answer:

Option d is correct = Negative ion

Explanation:

We know that an atom consist of electrons, protons and neutrons. Neutrons and protons are present inside the nucleus while electrons are present out side the nucleus. Electron has a negative charge and is written as e⁻. The mass of electron is 9.10938356×10⁻³¹ Kg . While mass of proton and neutron is 1.672623×10⁻²⁷Kg  and 1.674929×10⁻²⁷ Kg  respectively.

Symbol of proton= P⁺  

Symbol of neutron= n⁰  

The number of electron or number of protons are called atomic number while mass number of an atom is sum of protons and neutrons. The  umber of protons and electrons are always equal to make the atom electrically neutral and when an atom loses its valance electron the number of protons increases and thus positive charge increased and atom form cation.

When an atom gain electron negative charge increase because of more number of electron thus atom form negative ion or anion. For example,

Anion formation:

X + e⁻ → X⁻

Cation formation:

X → X⁺ + e⁻

Thus option d is correct option.

What determines how many electrons an atom will gain, lose, or share when it forms a chemical bond?

Answers

Answer:

To be stable an atom will gain, lose, or share electrons to complete the outer most energy level (electron shell). Octet Rule because levels 2 and 3 need 8 electrons to be stable.

What volume of 4.50M hydrochloric acid can be made by diluting 250.0mL of 5.65M HCl?

Answers

Answer:

314mL OR 0.314L

Explanation:

this requires the dilution formula M1V1 = M2V2 where

M1 = initial concentration

V1 = initial volume

M2 = final concentration

V2 = final volume

In this case, we are solving for V1 where M1 = 5.65M, V1 = 250.0 mL, and M2 = 4.50M

Plugged into the equation we get:

(5.65M)(250.0mL) = (4.50M)V2

divide both sides by 4.50M and it becomes (M cancel)

V2 = 314mL

How many moles do you have if you have 144 L of a gas at SATP?

How many moles do you have if you have 144 L of a gas at SATP?

Answers

Answer

moles = 5.81 mol

Explanation

Given:

Volume = 144 L

AT SATP

1 mole = 24.4651 L

Solution:

1 mole = 24.4651 L

x mole = 144 L

x = 144/24.4651

x = 5.8 mol



How many liters of 0.10 M BaCl2 would be required to get 0.02 mol of BaCl2?

Answers

Answer:

V = 0.2 L.

Explanation:

Hello there!  

In this case, according to the definition of molarity in terms of the moles of solute divided by the volume of the solution, it is possible for us to write:

M=n/V  

Thus, given the moles and concentration of the solution, we can find the volume as shown below:  

V=n/M  

Therefore, we plug in the given data to obtain:  

V = 0.02mol /(0.10mol/L)  

V = 0.2 L

Best regards!

show that boyle's law charles law and avogadro's law can be derived from the ideal gas law

Answers

Boyle's Law, Charles' Law, and Avogadro's Law can be derived from the ideal gas law, which is expressed as:

PV = nRT , where:

P = pressure

V = volume

n = number of moles of gas

R = ideal gas constant

T = temperature

Let's see how each law can be derived:

Boyle's Law:

Boyle's Law states that at constant temperature, the pressure of a given amount of gas is inversely proportional to its volume. Mathematically, it can be written as:

P₁V₁ = P₂V₂

Assuming the amount of gas (n) and temperature (T) remain constant, we can rewrite Boyle's Law using the ideal gas law:

(P₁/nT) × V₁ = (P₂/nT) × V₂

By canceling out the constant factors (n and T) on both sides, we obtain:

P₁V₁ = P₂V₂

This equation represents Boyle's Law, which demonstrates the inverse relationship between pressure and volume at constant temperature.

Charles' Law:

Charles' Law states that at constant pressure, the volume of a given amount of gas is directly proportional to its temperature. It can be expressed as:

V₁/T₁ = V₂/T₂

Assuming the amount of gas (n) and pressure (P) remain constant, we can rearrange the ideal gas law to obtain:

(V₁/nP) × T₁ = (V₂/nP) × T₂

By canceling out the constant factors (n and P) on both sides, we get:

V₁/T₁ = V₂/T₂

This equation represents Charles' Law, showing the direct relationship between volume and temperature at constant pressure.

Avogadro's Law:

Avogadro's Law states that at constant temperature and pressure, equal volumes of different gases contain an equal number of molecules (or moles). It can be written as:

V₁/n₁ = V₂/n₂

Using the ideal gas law, we can rearrange it as:

(V₁/P₁) × (T/P₁) × n₁ = (V₂/P₂) × (T/P₂) × n₂

Canceling out the constant factors (P₁/P₁, T/T) and rearranging the equation, we have:

V₁/n₁ = V₂/n₂

This equation represents Avogadro's Law, demonstrating that equal volumes of gases contain an equal number of moles at constant temperature and pressure.

In summary, Boyle's Law, Charles' Law, and Avogadro's Law can all be derived from the ideal gas law by manipulating the equation while holding certain variables constant.

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Please help if you know

Please help if you know

Answers

Name of indicator :
Blue and red litmus paper (they’re natural indicators by the way, you can use methyl orange/phenolphthalein as well but litmus paper would be much easier)

If I were you, I would plan the experiment like that :

Procedure :

1. Prepare two test tubes and some blue and red litmus papers. Label the first test tube as A and the second one as B.

2. Pour the acid into test tube A and alkali into test tube B.

3. Using a dropper, extract some of the acid from test tube A and put a few drops on the blue and red litmus paper.

4. Record your observation.

5. Repeat steps 3 to 4 by using the alkali from test tube B.

The result with acid (Test tube A) :

The BLUE litmus paper turns RED. However the RED litmus paper DOES NOT show any changes.

The result with alkali (Test tube B) :

The BLUE litmus paper DOES NOT show any changes. However, the RED litmus paper changes to BLUE.


(I might made some mistakes here…I’m not confident with my answer but I hope it helps!)

Sam believes the rock is more denser than the pencil. He measured the mass of the rock to be 8.5 grams and volume to be 4.5mL. He measured the mass of the pencil to be 2.4 grams and volume to be 4.5mL. Density is the mass per unit volume of an object. When he put the rock and pencil into the water, the pencil floated and the rock sank. Which is more denser? Give your reasoning using actual density values.

Answers

Answer:

Rock

Explanation:

Let's calculate the density of each object:

Rock:

\(Density = \frac{mass}{volume}=\frac{8.5\ g}{4.5\ mL}=1.9\ g/mL\)

Pencil:

\(Density = \frac{mass}{volume}=\frac{2.4\ g}{4.5\ mL}=0.53\ g/mL\)

Therefore the rock is denser.

A 1.0 mole pure sample of molten tin is dissolved in a 5.0 mole pure sample of molten copper. The solution is set aside to cool and solidify. The atomic radius of tin is 140 pm and the atomic radius of copper is 128 pm. a. Identify the type of alloy that is formed. Justify your answer. b. Identify the solvent in this solution. Justify your answer. ​

Answers

Answer:

a. Bronze

b. Copper

Explanation:

a. The alloy formed from the mixture of molten tin and molten copper, with copper having the over triple of the quantity of tin, is bronze. Although, these two metals are often not the only metals present in bronze.

b. The solvent in this mixture is molten copper. This is because, it has the larger percentage of the constituents and hence can easily allow other constituents to be dissolved in it.

The characteristics of the mixtures allow to find the answers to this question about bronze are:

We have a homogeneous solution The solute is tin and the solvent is copper

In chemistry when materials do not react with each other, a new compound is not formed, therefore there is a mixture of unreacted elements.

The mixture is the union of two or more components united, but that do not react chemically, we can have two types of mixture:

Homogeneous. In this case the materials cannot be distinguished from each other, this special case is called a solution. Heterogeneous.  There is a heterogeneous composition that can be distinguished. The parts of can be separated by physical methods, for example: deposition in time, filtration, etc.

In mixtures, the material that is in less quantity is called solute and the material that is in greater quantity is called solvent.

In this case we have a combination of Tin and Copper, by heating when they are taken to the liquid state the mixture is formed, the result is a material where no phase or separation can be distinguished, therefore we are in the presence of a homogeneous solution, that cooling would be a solid solution.

Therefore, copper and tin maintain their chemical properties, but the physical properties are altered, this solution is widely used industrially and is called Bronze.

We have 1 mole of tin and 5 moles of Copper, so the solute is the material in the least amount of Tin and the solvent is the material in the greatest amount of Copper.

In conclusion, using the characteristics of the mixtures we can find the answer to this question about bronze:

We have a homogeneous solution in solid state The solute is tin and the solvent is copper

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the small units used in making synthetic fibre are _____



Answers

The correct answer is : Polymers are the small units

(a) (0) A drinking water treatment plant has a tank containing 100 m3 of untreated water. At time zero, a disinfectant-water solution containing 0.4 kg of Chlorine per m3 enters the tank at a rate of 20 m3 per minute. Simultaneously, a drain is opened at the bottom of the tank allowing the water to leave the tank at 10 m3 per minute. Assume that the solution in the tank is kept perfectly mixed at all times. Determine the Chlorine content as a function of time. [6 marks] (ii) What will be the Chlorine content in the tank after 20 minutes? [2 marks] (iii) How long will it take the Chlorine content in the tank to reach 180 kg?

Answers

It is not possible to determine the concentration of chlorine in the tank after 20 minutes. It takes approximately 2.96 minutes for the concentration of chlorine in the tank to reach 180 kg/m³.

The concentration of chlorine in a water treatment plant is to be determined as a function of time, as well as its concentration after 20 minutes and the time it takes to reach a concentration of 180 kg.

(a) (i) Using a mass balance equation, let C be the chlorine concentration in the tank and t be time. The mass of chlorine in the tank at any time, M(t), is M(t) = VC where V is the volume of water in the tank, which is initially 100 m3. The rate of change of chlorine concentration in the tank, dC/dt, is given by dC/dt = (1/V) dM/dt. Using the given values of the inlet and outlet rates, the rate at which chlorine enters the tank is dM/dt = 0.4 kg/m3 × 20 m3/min = 8 kg/min. The rate at which chlorine leaves the tank is given by the product of the concentration and the outlet rate. When the tank is initially filled with untreated water, the concentration of chlorine is zero.

Therefore, the rate at which chlorine leaves the tank initially is dM/dt = C × 10 m3/min = 0.This means that the concentration of chlorine in the tank remains zero until chlorine begins to enter the tank. Therefore, for t > 0, the differential equation is dC/dt = 8/(100 − 10t)Solving this differential equation gives C = ln(100 − 10t) + K where K is the constant of integration. The value of K can be found using the initial condition that the concentration of chlorine is zero when t = 0:C = ln(100 − 10t) − 2.3026

(ii) The concentration of chlorine in the tank after 20 minutes is C = ln(100 − 10(20)) − 2.3026= ln(−100) − 2.3026The value of the natural logarithm is undefined for negative numbers. Therefore, it is not possible to determine the concentration of chlorine in the tank after 20 minutes.

(iii) To find the time at which the concentration of chlorine in the tank reaches 180 kg/m3, set C equal to 180 kg/m³ and solve for t:180 = ln(100 − 10t) − 2.3026182.3026 = ln(100 − 10t)10t = 29.6493t = 2.9649 min. Therefore, it takes approximately 2.96 minutes for the concentration of chlorine in the tank to reach 180 kg/m³.

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If you add a chunk of zinc to a beaker of acid and zinc shavings to another beaker of acid, the sample with the zinc shavings will react faster. What property causes the increase in rate?.

Answers

Answer: surface area

Explanation:

The smaller the surface area the faster the rate of reaction. The zinc shavings have a smaller surface area of reactants compared to the large piece of zinc. The smaller surfaces area of reactants ensures that it comes into close proximity with the acid solution for reaction to take place.

Suppose it takes an energy amount equal to 1.43 eV to break one of those bonds shown in the figure, draw the band model for GaAs.

Answers

An approach to characterising a solid's electronic energy levels is through a band model. In a solid, electrons are organised into energy bands with prohibited gaps separating them.

A solid material's electronic energy levels are theoretically represented by a band model. In a solid, electrons are organised into energy bands with prohibited gaps separating them. The valence band, the lowest energy band populated by electrons, is responsible for the bonding between atoms in the solid, while the conduction band, the highest energy band occupied by electrons, is in charge of conducting electrical current. The energy difference between the conduction band and the valence band, or bandgap, governs the material's electrical and optical properties. Insulators are substances with a large bandgap, whereas semiconductors and conductors are substances with a small bandgap.

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you just got home from a run on a hot Atlanta afternoon. you grab a 1.00-liter bottle of water and drink three-quarters of it in one swig. How many moles of water did you consume?

Answers

Answer:

41.67 mol

Explanation:

1 Litre of water = 1000g

Mole = mass / molar mass

Mass of 1 L of water = 1000 g

Molar mass of water (H2O) :

(H = 1, O = 16)

H2O = (1 * 2) + 16 = (2 + 16) = 18g/mol

Amount of water consumed = (3/4) of 1 litre

= (3/4) * 1000g

= 750g

Therefore mass of water consumed = 750g

Mole = 750g / 18g/mol

Mole of water consumed = 41.6666

= 41.67 mol

The percent composition of magnesium in magnesium
sulfate (MgSO4) is

Answers

Answer:

Element Symbol Mass percent

Magnesium. Mg. 20.192%

Oxygen. O. 53.168%

Sulfur. S. 26.639%

Explanation:

hope this helps u out

A radioactive nucleus emits a beta particle, then the parent and daughter nuclei are

⇢Isotones
⇢Isotopes
⇢Isomers
⇢Isobars​

Answers

Answer:

isobars

Explanation:

How?

A radioactive nucleus emits beta particle(Like uranium,radium) So the mass numbers are same for daughter nuclei .They have different atomic numbes .

So they are isobars

given that the grignard reaction used 1.4555 g phenyl bromide, 10. g carbon dioxide, 0.5734 g magnesium filings, and 30.2 ml of 6m hcl , what was the limiting reagent in the overall reaction, assuming each stepwise reaction ran to completion with only the desired product forming

Answers

Phenyl bromide is the limiting reagent in the Grignard reaction, as it produces the smallest number of moles of the Grignard reagent compared to magnesium and carbon dioxide.

The balanced equation for the Grignard reaction between phenyl bromide and carbon dioxide is:

C₆H₅Br + Mg + CO₂ → C₆H₅COOMgBr

To determine the limiting reagent in the reaction, we need to calculate the number of moles of each reactant and compare them to the stoichiometric coefficients in the balanced equation. The limiting reagent is the reactant that is completely consumed in the reaction and limits the amount of product that can be formed.

The molar mass of phenyl bromide is 157.01 g/mol, and the mass used is 1.4555 g, so the number of moles of phenyl bromide is:

1.4555 g / 157.01 g/mol = 0.009271 mol

The molar mass of magnesium is 24.31 g/mol, and the mass used is 0.5734 g, so the number of moles of magnesium is:

0.5734 g / 24.31 g/mol = 0.0236 mol

The molar mass of carbon dioxide is 44.01 g/mol, and the mass used is 10.0 g, so the number of moles of carbon dioxide is:

10.0 g / 44.01 g/mol = 0.227 mol

Finally, the molarity of the HCl solution is 6.0 mol/L, and the volume used is 30.2 mL, or 0.0302 L, so the number of moles of HCl is:

6.0 mol/L x 0.0302 L = 0.1812 mol

According to the balanced equation, one mole of phenyl bromide reacts with one mole of magnesium and one mole of carbon dioxide to produce one mole of the Grignard reagent. Therefore, the limiting reagent is the reactant that produces the smallest number of moles of the Grignard reagent.

Using the above calculations, we find that the number of moles of the Grignard reagent that can be formed from each reactant is:

Phenyl bromide: 0.009271 molMagnesium: 0.009271 mol (since one mole of magnesium reacts with one mole of phenyl bromide)Carbon dioxide: 0.009271 mol (since one mole of carbon dioxide reacts with one mole of phenyl bromide)

Since the smallest number of moles is produced from phenyl bromide, it is the limiting reagent in the reaction.

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You learned about circuit learning in this path and how it can help you study. Explain what you believe to be the greatest benefit of knowing all about circuit learning. Give at least one specific example. Then explain how you see yourself using circuit learning in the future. Your answer should be at least three to five complete sentences.

Answers

Circuit Learning is a cutting-edge teaching strategy used at a public tertiary institution.

Why is it important to learn circuits?

In this article, teachers' and students' reactions to "Circuit Learning," a cutting-edge teaching strategy used at a public tertiary institution in Malaysia, are discussed.

It focuses on particular observations of how the students responded to this novel teaching strategy and how the teachers judged its success in enhancing the English language learning opportunities for low proficiency students enrolled in a Foundation English course. The analysis of the data indicates that although some doubts were first noted, the majority of the students responded well to CL. There were a variety of responses from teachers regarding its efficacy.

Nevertheless, both teachers and students noted a number of significant characteristics of CL, particularly in the way it helped these students become more motivated and self-assured, demonstrating its viability and potential as a teaching innovation for ESL teaching and learning. This article starts by explaining the structure and principles of CL. After that, it analyzes the replies from the students and teachers who took part, using surveys and their own comments.

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Answer:

I believe that it can help us a lot since the circuit learning helps us remember and memorize a ton of stuff that we can use for us in the future.

An example is that when we know about circuit learning, you will have creative ideas you can use as an engineer, or any other good job that will help you earn money with your awesome ideas.

When I use circuit learning in the future, I'll know many ideas for my future career and business, and the way I can earn really well amount of money.

Explanation:

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MICROECONOMICS1. [3 marks] Given the function, V = Aet, use the derivative to show that the rate of growth of V is equal to r. Given your answer, what is the rate of growth for the following expression: debet 3/ = Choose one current event (occurred in the past twelve calendar months) and compare it to one of the scene or major event in to kill a mockingbird. Explain at least two events are similar Dominic needs a new bike mirror. His old mirror was a square with a side length of 9 cm. He wants the new mirror to have an area as close as possible to his old bike mirror. juliet is very impatient to hear news from romeo (lines 1-17). what images does she use in her soliloquy to express this? What is one of the primary benefits of stratifying a population? Multiple ChoiceStratifying the population reduces the auditor's exposure to nonsampling risk.Stratifying the population allows the auditor to reduce the necessary sample size.Stratifying the population allows the auditor to have a higher likelihood of reaching a favorable conclusion with respect to the client's financial statements.Stratifying the population allows different types of audit procedures to be performed on larger and smaller transactions or components. A company offers two plans for high speed internet service. With Plan A, you buy the modem andpay a monthly fee for internet service. With plan B, the modem is free, but you pay a higher monthlyfee than for plan A.Plan A: You pay $200 for the modem and $30 per month for service.Plan B: The modem is free and you pay $40 per month for service.Question 1: After how many months are the total costs of the plans the same?Question 2: When is Plan A a better deal? Explain your answer. A clinic has 14 doctors. Every patient, on average, requires about 29 minutes with a doctor. The clinic operates 9 hours per day and 7 days per week. Each doctor works 9 hours per day and 7 days per week. How many patients can be served by the clinic per day? Use at least 4 decimals in your calculation and answer. People aged 18 and under should have a nightly curfew at 10 p.m. because they need more sleep than adults and the majority of violent crimes against youth occur after 10 p.m.What do you expect to read in an essay with this thesis statement?research proving why most people need more sleepevidence that a majority of violent crimes are committed by youtha section on sleep and a section on violent crimesa proposal for schools to start class later in the day how to calculate rational numbers Expand and simplify 2(3x+4)-3(x-2) Assume there are no minimum wage laws. Imagine that you are poor and cannot find work due to an economic recession. One day a new employer comes to town and offers you a job in his factory for a wage of fifty cents per hour. The employer exerts no pressure. He simply makes his offer and says politely, Take it or leave it. You accept the offer, not without gratitude, because you have no reasonable alternative. Is the contract between you and your new employer voluntary? Is the contract fair? 3 reasons the electora is still useful and reason it's not Suppose the coefficient of kinetic friction between mA and the plane in the figure(Figure 1) is k = 0.15, and that mA=mB=2.7kg. a is doneAs mB moves down, determine the magnitude of the acceleration of mA and mB, given = 30 ans 1.8 m/s2bWhat smallest value of k will keep the system from accelerating? What is public policy in government?. You are planning for retirement 36 years from now. You plan to invest $3,400 per year for the first 6 years, $6,500 per year for the next 8 years, and $12,300 per year for the following 22 years (assume all cash flows occur at the end of each year). If you believe you will earn an effective annual rate of return of 12.5%, what will your retirement investment be worth 36 years from now? true or false? "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g 2. Which of the following shows 3 less than an unknown value?a. n-3b. n + 3C. 3- nd. 3 + n Which value for x proves that abc=def by sss Find the general solution with two real valued solutions of the following linear sys- tem: y' = 4 5 -2 6 Show all your work to get a full credit. An investor in Georgia acquired securities under a Rule 147 intrastate offering and has now held them for eight months. Which of the following is true of the investor's position