The interior of a refrigerator has a surface area of 4.3 m2 . It is insulated by a 3.6 cm thick material that has a thermal conductivity of 0.0303 J/m · s ·◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 6.3% of the theoretical maximum. The temperature of the room is 44.2◦C, and the temperature inside the refrigerator is 9.2 ◦C. Determine the power required to run the compressor.
Answer in units of W

Answers

Answer 1

Power is the ratio of the heat entered into the refrigerator to the coefficient of performance of the refrigerator. The power required to run the compressor in Watts is 249.149 W.

What is Power?

Power is the ratio of the heat entered into the refrigerator to the coefficient of performance of the refrigerator.

Given the surface area of the interior of the refrigerator is

A= 4.3 m ²

The refrigerator is insulated by a material of  thickness

t =3.6 cm =0.036 m

The thermal conductivity of insulating material is

k =0.0300 J/m-s

The change in temperature inside the refrigerator and room temperature is

dT= (273.15 + 44.2) -(273.15 + 9.2) =35 K

The rate of heat entered the refrigerator.

[tex]Q=\frac{k\times A\times dT}{t}[/tex]

Substituting value into the equation, we get

Q =126.67 W

The coefficient of performance of the refrigerator is

[tex]COP=\dfrac{(273.15+9.2)}{(273.15+44.2)-(273.15+9.2)}[/tex]

COP = 8.07

As, work done by the motor is 6.3% of the theoretical maximum,

[tex]\dfrac{6.3\times8.07}{100} =0.50841[/tex]

The power required to run the compressor will be

[tex]P=\dfrac{126.67}{0.50841} =249.149\:\rm W[/tex]

The power required to run the compressor is 249.149 W

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Related Questions

9. If the magnitude of two vectors and their resultant are the same, what is the angle between the two vectors?​

Answers

The angle between the two vectors of the same magnitude would be 120 degrees to have the resultants the same.


answer: 120 degrees

A transfer of energy from thermal to potential

Answers

Conduction

The material which suppose Conduction called conductorsIn this heat is transmitted from one thermal to another .Metals are usually good conductors where as non metals are not

Explanation:

According to online, "thermal energy is just a fancy word for heat energy. It's a form of both potential and kinetic energy. If you remember, the electrons of an atom have potential energy. Once you apply pressure to the electrons, they start to move rapidly, banging into each other, and releasing thermal energy as heat."

Thermal energy transfers occur in three ways: conduction, convection, and radiation

is the amount of force acting on a given area.

Answers

Answer:

[tex]\huge\boxed{\sf Pressure}[/tex]

Explanation:

Pressure:

The amount of force acting on per unit area is called pressure.

Mathematical form:

[tex]P = \frac{F}{A}[/tex]

Unit:

The unit of pressure is N/m² or Pascal. Many other units are also used for pressure.

[tex]\rule[225]{225}{2}[/tex]

Water shortages means.no no no links pls

Answers

Answer:

The lack of sufficient water resources, including a lack of access t safe water supplies, to meet water needs within a region.

Explanation:

Four identical particles of mass m are mounted at equal intervals on a thin rod of length l and mass m, with one mass at each end of the rod.

Answers

Answer:

Moment of inertia at distance L / 2    from center

I1 = M (L / 2)^2 = M L^2 / 4

I2 = M (L / 6)^2 = M L^2 / 36      at a distance of L / 6

I (1/2 rod) = I1 + I2 = M L^2 (1/4 + 1/36) = M L^2 (9 + 1)/ 36 = 5/ 18 M L^2

I for entire rod = 2 I (1/2 rod) = 5 / 9 M L^2

What is an Astroid belt

Answers

The asteroid belt is a line int the space with light but more parts of the asteroid that broke down

Which sentence correctly uses a comma to separate coordinate adjectives?

Answers

Answer:

..

Explanation:

Coordinate adjectives are adjectives that describe the same noun equally. They should be separated with commas. In this sentence, both red and round are describing the ball. The correct answer is, "The red, round ball is Adley's favorite toy to play with."

HELP!

Explain how the conservation of energy and the conservation of matter might still be considered true when put together in spite of the ability of each to convert into the other.

Answers

Answer:

the conservation of both matters because without each other the balance of nature will be destroyed it helps in such a way that the food chain will be maintained.

it is as such considered because without matter there would be no energy and the reverse is such.

it is still considered because without one another famous atomic theories wouldn't have been made such as gas, liquid and solid.

in conclusion all these work together to balance the galaxy as a whole

Both the conservation of energy and the conservation of matter is important because, without each other, the natural equilibrium will be disrupted.

What is the law of conservation of energy?

According to the Law of conservation of energy. Energy can not be created nor be destroyed it can transfer from one to another form.

The total energy is the sum of all the energies present in the system. The potential energy in a system is due to its position in the system.

The conservation of both is important because without each other, the natural equilibrium will be disrupted, and it aids in the maintenance of the food chain.

It is seen as such because there would be no energy without matter and vice versa.

Hence both the conservation of energy and the conservation of matter is important

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Why burette calibrated from top to bottom?​

Answers

Answer:

In order to measure the amount of solution added in or drained out, the burette must be observed at eye level straight to the bottom of the meniscus. The liquid in the burette should be completely free of bubbles to ensure accurate measurements.

Read the scenario and social media post.

Damien is researching organic gardening, which avoids pesticides—chemicals used to kill harmful insects. While looking for sources, he runs across this social media post.

Answers

Answer:

No answer

Explanation:

Because there is no question

Answer:

C. Biased in favor of pesticides.

Explanation:

Question 1 of 10
What do all waves in the electromagnetic spectrum have in common?
OA. They have the same distance between crests.
OB. They have the same energy.
C. They have the same rate of motion.
D. They have the same frequency.
SUBMIT

Answers

Answer:

They have the same rate of motion.

Explanation:

Electromagnetic radiation is a type of energy that is commonly known as light. Generally, light travels in waves, and all electromagnetic radiation travels at the same speed, which is about 3.0 × 108 ms− 1 through a vacuum.

What are the assumptions on which the cosmological principle is based?.

Answers

homogeneity and isotropy, On large enough scales, the Universe looks pretty much the same in all directions. The big bang theory is based on two assumptions: the first is centered around Einstein's general theory of relativity, which accurately describes gravity and the interactions of matter; and the second, also known as the cosmological principle, asserts that the universe is homogeneous and isotropic on a large enough scale.

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A circuit connected to a battery of 1.9 voltage. has a current of 0.07 amps. What is the resistance
of the circuit

Answers

Answer:

27.14 ohms

Explanation:

V = IR

V/I  = R

1.9 v / .07 a = 27.14 ohms

What is the relationship between frequency and wavelength?

Answers

Answer:

The wave with the greatest frequency has the shortest wavelength. Twice the frequency means one half the wavelength.

Explanation:

Frequency and Wavelength are inversely proportional to each other.

The Schwarzschild radius of a black hole depends on ________.only the mass of the black holeboth the mass and density of the black holethe way in which the black hole formedthe observationally measured radius of the black hole

Answers

The Schwarzschild radius of a black hole depends on the mass and density of the black hole because volume is the space that an object occupies.

What is volume?

Volume is defined as the amount of space occupied by an object. It can be measured in cubic units. If the black hole has more volume then it has more radius and vice versa.

So we can conclude that the Schwarzschild radius of a black hole depends on the mass and density of the black hole because volume is the space that an object occupies.

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The first step in responding to any sports injury is to __________.
A.
remove the danger that lead to the injury
B.
ensure that the player's air way is not obstructed
C.
begin chest compressions for CPR
D.
ask the player to stop playing the sport


Please select the best answer from the choices provided.

A
B
C
D

Answers

Answer:

remove the danger that lead to injury

Explanation:

The best way is

spot the reason for injuryThen try best to remove that cause as fast as possible.Then spot the place of body where injury happenedNOW treat for that

Answer:

A

Explanation:

The first step in responding to an injury in sports is to remove the danger that led to the injuryB cannot be correct because if an athlete suffers a broken leg you don't check their air ways primarilyC is also not right as that is only when the player is unconsciousD is not right as that is the result of only a very life-threatening injuryA is the right answer

Every time your cat's paw hits her toy string, it swings away from her. How does
this demonstrate Newton's third law of motion?

Objects with mass, such as your cat's paw and toy string, will require inertia.

Objects in action, such as the string toy, will experience force.

For every motion from your cat's paw, there is unbalanced inertia from the string.

For every action your cat makes, there is an equal and opposite reaction from the string.

Answers

Answer:

D?

Explanation:

Newton's Third Law of Motion: For every action, there is an opposite reaction, and forces come in pairs

Answer: Answer choice D

Explanation:

Newtons 3rd law states that for every action there is an equal and opposite reaction. In the scenario, the cat hitting the toy is the action, and the ball swinging away is the reaction.

Which two factors are used to calculate the kinetic energy of an object?

Answers

Answer: Mass and velocity

K = 0.5*m*v^2

Explanation:

Hope it helps!

Answer:

mass and velocity

Explanation:

Kinetic Energy = 1/2 * m * v^2          m= mass   v = velocity

The type of galaxy that sometimes has a distinct bar of stars running across the central region is:.

Answers

Spiral galaxies appear as flat, blue-white disks of stars, gas and dust with yellowish bulges in their centers. These galaxies are divided into two groups: normal spirals and barred spirals. In barred spirals, the bar of stars runs through the central bulge.

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You are generating traveling waves on a stretched string by wiggling one end. If you suddenly begin to wiggle more rapidly without appreciably affecting the tension, you will cause the waves to move down the string.

Answers

Answer:

At the same speed as before

Explanation:

Speed is dependent on the tension in the string, and since the tension isn't changing, the speed of the waves will also not change.

An 80g meter stick is supported at its 30 cm mark by a string attached to the ceiling. A 20 g mass is hung from the 80 cm mark what mass should be hung at the 5 cm mark on the meter stick to keep it horizontal and in equilibrium?

Answers

Answer:

[tex]104\; {\rm g}[/tex], assuming that the meter stick is uniform with the center of mass precisely at the [tex]50\; {\rm cm}[/tex] mark.

Explanation:

Refer to the diagram attached. The meter stick could be considered as a lever. The string at the [tex]30\; {\rm cm}[/tex] mark would then act as the fulcrum of this lever.

The [tex]m_{A} = 20\; {\rm g}[/tex] mass at the [tex]80\; {\rm cm}[/tex] mark is at a distance of [tex]r_{A} = 50\; {\rm cm}[/tex] to the right of the fulcrum at [tex]30\; {\rm cm}[/tex].

The weight of the [tex]80\; {\rm g}[/tex] meter stick acts like a weight of [tex]m_{B} = 80\; {\rm g}[/tex] attached to the center of mass of this meter stick. Under the assumptions, this center of mass of this meter stick would be at the [tex]50\; {\rm cm}[/tex] mark, which is [tex]r_{B} = 20\; {\rm cm}[/tex] to the right of the fulcrum at [tex]30\; {\rm cm}[/tex].

Let [tex]m_{C}[/tex] be the mass attached to the meter stick at the [tex]5\; {\rm cm}[/tex] mark. This mass would be at a distance of [tex]r_{C} = 25\; {\rm cm}[/tex] to the left of the fulcrum at [tex]30\; {\rm cm}[/tex].

At equilibrium:

[tex]\begin{aligned} & m_{C}\, r_{C} && (\text{mass on the left of fulcrum})\\ &= m_{A}\, r_{A} + m_{B} \, r_{B} && (\text{mass on the right of fulcrum})\end{aligned}[/tex].

Solve for [tex]m_{C}[/tex], the unknown mass attached to the meter stick at the [tex]5\; {\rm cm}[/tex] mark:

[tex]\begin{aligned}m_{C} &= \frac{m_{A}\, r_{A} + m_{B}\, r_{B}}{r_{C}} \\ &= \frac{20\; {\rm g} \times 50\; {\rm cm} + 80\; {\rm g} \times 20\; {\rm cm}}{25\; {\rm cm}} \\ &= 104\; {\rm g}\end{aligned}[/tex].

When white light is refracted by a prism, which color of light is bent the least? red yellow green

Answers

Red light bends the least since the colour red has the longest wavelength on the electromagnetic spectrum.

Answer:

Red light would bend the least, because of its wavelengths in the sun, also basing on how reflective the prism or light source is.

__________________________________________________________

Questions?

Ask in comments.

what is the force acting on an object with a mass of 150 kg starting from rest and traveling 15m/s in 250s?​

Answers

Answer:

9N

Explanation:

F = ma

F = 150kg × (15 - 0)m/s / 250s

F = 9N

Two springs are attached to two hooks. When equal weights are suspended from each spring, both stretch the same amount. What can be assumed about the force constants of both?

Answers

It can be assumed that the spring constant will be same.Because the weight applied and the extension is same

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is

F = kx

Two springs are attached to two hooks. When equal weights are suspended from each spring, both stretch the same amount.

Extensions will be greater in spring B than in spring A.Remember that the force constant represents the spring's stiffness,

Hence It can be assumed that the spring constant will be same.Because the weight applied and the extension is same.

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What is the speed of a wave that has a frequency of 250Hz and a Wavelength of 1.5 m?

Answers

Question :-

What is the Speed of a Wave that has a Frequency of 250 Hertz and a Wavelength of 1.5 meter ?

Answer :-

Speed of the Wave is 350 m/s .

Explanation :-

As per the provided information in the given question, we have been given that the Frequency of the Sound Wave is 250 Hertz. Its Wavelenght is given as 1.5 Meter. And, we have been asked to calculate the Speed of the Wave.

For calculating the Speed , we will use the Formula :-

[tex] \bigstar \: \: \boxed {\sf { \: Speed \: = \: Frequency \: \times \: Wavelenght \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \Longrightarrow \: \: \sf { \: Speed \: = \: Frequency \: \times \: Wavelenght }[/tex]

[tex] \Longrightarrow \: \: \sf { \: Speed \: = \: 250 \: \times \: 1.5 }[/tex]

[tex] \Longrightarrow \: \: \bf { \: Speed \: = \: 375 }[/tex]

Hence :-

Speed of the Wave = 375 m/s .

[tex] \underline {\rule {180pt}{4pt}} [/tex]

Speed = Frequency Wavelenght

Speed

Speed

Hence :

Speed of the Wave = 375 m/s.

=

250 x 1.5

375

Hello people ~
Feathery stigma occurs in
(a) pea
(b) wheat
(c) Datura
(d) Caesalpinia

Answers

Answer:

(B) wheat

Explanation:

Wheat is an anemophilous plant (form of pollination by which wind distributes pollen)They lack petals and sepals (outer whorls of the flower)The female plants consist of an ovary (female reproductive part) from which two styles (connecting stigma and ovary) ariseThe feathery stigma catches the pollen and sends it to the ovary for fertilization

(b) wheat

Feathery stigma refers to wind pollinated flowers.

Wind pollinated flowers are smooth, light in weight, dull and does not contain nectar.

Wheat is light and does not contain nectar.

Datura have huge petals, pea is heavy, caesalpinia have beautiful petals, which all leads to insect pollinated.

wind pollinated flowers:

wheat, rice, corn and oats.

Carbon-14 is a radioactive isotope of carbon with a half-life of 5,730 years. A paleontologist finds fossil that contains 25% of its original amount of carbon -14 atoms. How old is the fossil?

Answers

The age of the fossil which contains the Carbon-14 radioactive isotope is 11460 years

How to determine the number of half-lives Original amount (N₀) = 100%Amount remaining (N) = 25%Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 100 / 25

2ⁿ = 4

2ⁿ = 2²

n = 2

How to determine the age Half-life (t½) = 5730 yearsNumber of half-lives (n) = 2Time (t) =?

t = n × t½

t = 2 × 5730

t = 11460 years

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Mr. Ben drove from Town A to Town B. For the first 3 hours, he
traveled at an average speed of 60 km/h, and after that, he drove at another average speed of 70 km/h. If the distance between Town A and B is 460 km, what was the total time for the whole journey?

Answers

The total time for the whole journey  =  7 hours

Distance = Speed  x  time

Distance traveled for the first 3 hours

time = 3 hours

speed = 60 km/h

Distance = 60  x  3

Distance = 180 km

180 km was traveled for the first three hours

Total distance traveled = 460 km

Distance traveled at an average speed of 70 km/h  = 460  -  180

Distance traveled at an average speed of 70 km/h  =  280 km

Speed  =  Distance / time

70   =  280 / time

time = 280 / 70

time = 4 hours

Mr. Ben traveled 3 hours at an average speed of 60 km/h, he traveled 4 hours at an average speed of 70 km/h.

The total time for the whole journey = 3 hours + 4 hours

The total time for the whole journey  =  7 hours

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What is the best way to arrange the magnets on the train and on the track so that the model train levitates?

Answers

Answer:

See below

Explanation:

So the magnets poles are opposed and the magnets REPEL each other

What is the value of a in the function’s equation?

A.
3
B.
-2
C.
2
D.
-3

Answers

Answer:

Explanation:

What is the value of a in the function's equation?

A. -2

B. -3

C. 3

D. 2

ANSWER: c.

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