0.7-kg of r-134a is expanded isentropically from 800 kpa and 50°c to 140 kpa. determine the total heat transfer and work production for this expansion.

Answers

Answer 1

There will be no heat transmission, and the system's work is 25.27 Kj.

The calculation for total heat transfer and work production:

Provided,

The mass of r-134a = 0.7 kg

Initial pressure of the system, P₁ = 800 kpa

Initial temperature of r-134a, T₁ = 50°C = 273+ 50 = 323 K

Final pressure of the system, P₂ = 140 kpa

From the superheated refrigerant r-134a

P₁ = 800 kpa & T₁ = 50°C

the internal energy, u₁ = 263.87 Kj/kg &

the entropy, s₁ = 0.9803 Kj/kg .K

There won't be any heat transmission because the process is isentropic.

So, Q = 0 KJ

Due to the isentropic nature of the operation, the ultimate entropy is determined by

s₂ = s₁ = 0.9803 Kj/kg .K

From the r-134a superheated refrigerant

at P₂ = 140 kpa & entropy s₂ = 0.9803 Kj/kg .K

the internal energy,u₂ = 227.77 K/kg

The work on the system is provided by

W = m x (u₂-u₁)

W = 0.7 x(227.77 - 263.87)

W = 0.7 x (-36.1)

W = -25.27 KJ

A negative number means the system is doing the task.

As a result, there won't be any heat transfer, and the system will only have used 25.27 KJ of energy.

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Related Questions

hello friends,i need your help my home work now in physics,topic:motion.40 marks +brainliest if correct .​

Answers

Answer:

See below

Explanation:

Vertical position is given by

df = do + vo t - 1/2 a t^2      df = final position = 0 (on the ground)

                                           do =original position = 2 m

                                            vo = original VERTICAL velocity = 0

                                            a = acceleration of gravity = 9.81 m/s^2

THIS BECOMES

0 = 2 + 0 * t  - 1/2 ( 9.81)t^2

  to show t = .639 seconds to hit the ground

During this .639 seconds it flies horizontally at 10 m/s for a distance of

      10 m/s * .639 s = 6.39 m

why is black the good absorber of radiation?​

Answers

Answer:

=> Black colour do not reflect the wavelength of light and is a good emitter of heat . This, black is a good absorber of radiation.

Answer:

Black coloured objects absorb all the wavelengths of light and do not reflect any of them. Therefore, it looks black in colour and is considered to be a good absorber and a good emitter of heat. On the other hand, white coloured objects reflect all the light that falls into it and therefore they look white

What are the two decisions that you can make from performing a hypothesis test? what are the two decisions that you can make from performing a hypothesis test? select all that apply

Answers

When conducting a hypothesis test there are two possible decisions  that you can make: reject the null hypothesis or fail to reject the null hypothesis.

A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters.

When conducting a hypothesis test there are two possible decisions: reject the null hypothesis or fail to reject the null hypothesis. You should remember though, hypothesis testing uses data from a sample to make an inference about a population. When conducting a hypothesis test we do not know the population parameters. In most cases, we don't know if our inference is correct or incorrect.

When we reject the null hypothesis there are two possibilities. There could really be a difference in the population, in which case we made a correct decision. Or, it is possible that there is not a difference in the population (i.e.,  is true) but our sample was different from the hypothesized value due to random sampling variation. In that case we made an error. This is known as a Type I error.

When we fail to reject the null hypothesis there are also two possibilities. If the null hypothesis is really true, and there is not a difference in the population, then we made the correct decision. If there is a difference in the population, and we failed to reject it, then we made a Type II error.

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What is the work generated by a healthy adult who circulates 9 l of blood through the brachial artery in 10 min?

Answers

120kJ work is generated by a healthy adult who circulates 9L of blood through the brachial artery in 10 min.

What is mean by work?Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. It is frequently described in its most basic form as the result of force and displacement.Calculation of Work generated

A flow rate of 900 mL per minute is equal to a flow of 9 L in 10 minutes.

Additionally, you have 200W of total power generated.

9L Equals 9000 mL

900mL/min x 9,000mL/10min

By multiplying the power (watt) by the time, we can derive the work performed by the adult.

10 min = 600s

200W x 600s = 120 kJ

Hence, the work generated is 120kJ.

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The development of fusion energy has not been successful so far because of the high temperatures needed for fusion to occur. It’s not clear when we will have the technology to accomplish this. Do you think the government should continue to fund fusion research? Give your reasons.

Answers

Government  should continue to fund fusion energy research because:

it potentially will produce large amounts of energyscientific research could discover more feasible methods of fusion energy productionit is a very clean form of energy

What is fusion energy?

Fusion energy is the energy produced from fusion reactions.

Fusion reactions are a type of nuclear reaction in which small atomic nucleus are fused together to produce larger atomic nucleus with the release of large amounts of energy.

The Sun produces its energy from fusion reactions between hydrogen atoms to produce helium nucleus. This reaction takes place at very high temperatures.

It is important that the government continue to fund fusion energy research because:

it potentially will produce large amounts of energymore scientific research could discover alternative cheaper methods of fusion it is a very clean form of energy

In conclusion, the continuous government funding will make it possible to finally discover cheaper and more feasible ways to produce fusion energy.

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Select the correct answer from each drop-down menu. complete the sentence to describe the distance and ruler postulates. between every pair of distinct points, there is a positive unique number called the , which can be determined as the of the corresponding real numbers of the two points.

Answers

This question is an illustration of the distance postulate.

What is distance postulate ?

The distance between any two different points equates to a single positive real integer, according to the postulate of distance.

The full text is: The distance is a positive unique integer between every pair of different locations.

Consider two separate points A and B as an example.

The distance between A and B is the integer that represents the size of A and B.

The positive number (i.e. the distance) between A and B would be:

d= B-A

d = 6 - 1

d = 1

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A bubble of air of volume 1 cm^{3} is released by a deep-sea diver at a depth where the pressure is 4.0 atmospheres. Assuming its temperature remains constant (T1 = T2), what is its volume just before it reaches the surface where the pressure is 1.0 atmosphere?

Answers

The volume of the bubble just before the surface is 4 cm^3.

What is Boyle's law?As per Boyle's law,the volume of a gas at constant temperature varies inversely with the pressure exerted on it.P1V1=P2V2where , P1=pressure at the initial stage

V1=volume of the initial stage

P2= pressure at the final stage

V2= volume at the final stage

How to calculate volume of the bubble just before the surface of water ?P1=4atm, V1=1cm^3, P2=1atmV2=P1V1/P2

=(1×4)/1

=4cm³

Thus , we can conclude that the volume of the bubble just before the surface of water is 4cm³.

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Savanna regions developed during the Triassic period.


Please select the best answer from the choices provided

T
F

Answers

the answer is : true

If the current through an inductor were doubled, the energy stored in the inductor would be.

Answers

Answer:

The energy stored in an inductor is given as:

EL=1/2 LI ²

So, when the current is doubled, the energy stored in the inductor will become 4 times.

What is the horsepower of a 1,500 kg car that can go to the top of a 360 m high hill in exactly 1 min?

Answers

Answer:

W = m g h        work that must be done on car

P = W / t       power that must be input (in Watts)

P = m g h / t = 1500 kg * 9.8 m/s^2 * 360 m /  60 sec

P = 88,200 watts

P = 88,200 watts / 746 watts / hp = 118 hp

The horsepower of a 1,500 kg car that can go to the top of a 360 m high hill in exactly 1 min is 118.23 hp.

To find the power, the given values are,

Mass m = 1500 kg

Height h = 360 m

Time t = 1 minute = 60 seconds

g = 9.8 m/s

What is Power?

Power is the amount of work that is done per unit of time. It can be associated with the speed of a change of energy within a system, or the time it takes to perform a job.

There are different types of power,

Mechanical power: is that work performed by an individual or a machine in a certain period of time.Electric power: which is the result of the multiplication of the potential difference between the ends of a load and the current flowing there.

Formula for Power is,

Power = mgh/t

Power = (1500 x 9.8 x 360)/60

Power = 8.8 x 10⁴ watts

Recall

746watts = 1hp

8 x 10⁴ watts = 8 x 10⁴ / 746

Power = 118.23 hp

Thus, Power was calculated as 118.23 hp.

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Please help!!! Which is a heterogeneous mixture?

Answers

Answer:

pizza is a heterogeneous mixture.

Explanation:

A heterogeneous mixture is a mixture in which the composition is not uniform throughout the mixture. Vegetable soup is a heterogeneous mixture. Any given spoonful of soup will contain varying amounts of the different vegetables and other components of the soup

If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then?

Answers

If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then scaler product will always be positive

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.

The scalar product of two vectors is the sum of the product of the corresponding components of the vectors. In other words, the scalar product is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them. It is a scalar quantity and is also called the dot product of vectors.

if | a + b | > |a| or |b|

a. b = |a| |b| cos (theta)

since , | a + b | > |a| or |b|

hence, angle between a and b must be less than 90°

since , |a| and |b| are positive

cos (theta ) will also be positive as angle is between 0° and 90°

hence , cos (theta ) will be positive

hence scaler product will always be positive

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On a planet in the solar system where the sky normally scatters light of lower frequencies, its sunsets would be?

Answers

The sky will appear in blue color at the sunset, if the sky of the planet scatters light of lower frequencies.

To find the answer, we have to know more about the scattering of light.

What is scattering of light?When light travels from one medium, like air or a glass of water, to another, scattering occurs. Part of the light is absorbed by the medium's particles, followed by subsequent radiation in a particular direction. The size of the scattered light's particles and its wavelength affect how intense it is.If the sky scatters a low frequency light, during sunset, this low frequency light will be totally absorbed by the atmospheric particles, and we can only be able to see the high frequency light.

Thus, we can say that the sky will appear in blue color at the sunset, if the sky of the planet scatters light of lower frequencies.

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Two rockets approach each other. each is traveling at 0. 84 cc in the earth's reference frame. part a what is the speed of one rocket relative to the other?

Answers

The speed of one rocket relative to the other is 8.5 cc.

Let s be the frame at rest relative to the earth. Let the spaceship moving to the left with respect to the earth at speed [tex]v[/tex] be the particle in the terminology. Then the velocity of the spaceship relative to each other is simply the velocity of the second spaceship.

That for speeds small compared with the speed of light the relativistic velocity addition law gives the usual Newtonian result, whereas for speed near c the result is not what has been expected classically.

[tex]v' = 0.96cc\\\\v= 0.84cc\\\\\\v' = \frac{v+V}{1+ \frac{vV}{c^2} } \\\\v' = \frac{v+V}{ \frac{c^2+ vV}{c^2} }\\\\v' = \frac{(v+V) c^2} {c^2+ vV}\\\\\\v'c^2 + c^2v = V (c^2 - v'v)\\\\V = \frac{v'c^2+c^2v}{c^2 - v'v} \\ \\ = \frac{0.96 * 9* 10 ^1^6 + 0.84*9*10^1^6}{9*10^1^6 - 0.96 * 0.84} \\\\ =\frac{16.2}{1.9}\\ \\= 8.5 cc[/tex]

Therefore, the speed of one rocket relative to the other is 8.5 cc.

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What happens as the aperture of a camera gets larger?

Options:
A. Less light passes through
B. More light is refracted
C. Less light is refracted
D. More light passes through

Answers

Answer: more light passes through

Explanation:

The height of the 500-mb pressure level plotted at North Platte (LBF) in western Nebraska was ______ m above sea level (denoted 555).

Answers

The height of the 500-mb pressure level plotted at North Platte (LBF) in western Nebraska was 5,570 meters  m above sea level.

What is pressure?

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Pressure level plotted at North Platte

Recalling that the heights plotted at individual stations on 500-mb maps are in tens of meters (place a 0 to the right of the three plotted digits).

The coded height at North Platte, in west-central Nebraska, ("557") indicated 500 mb occurred at 5,570 meters above sea level.

Thus, The height of the 500-mb pressure level plotted at North Platte (LBF) in western Nebraska was 5,570 meters  m above sea level.

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Using the rydberg constant determined in question 1, calculate the shortest wavelength in the paschen series

Answers

The shortest wavelength in the paschen series= [tex]8.2\times 10^{-7}[/tex] m.

How do we calculate the shortest wavelength in the paschen series?

Emission lines for hydrogen occur when electrons drop from some energy level to a lower energy level. To calculate the shortest wavelength in the paschen series we are using the formula,

[tex]\frac{1}{\lambda} =R_{H} (\frac{1}{n_{f}^{2} }-\frac{1}{n^{2} } )[/tex]

Here, we are given,

[tex]R_{H}[/tex]= Rydberg constant=[tex]1.09737 \times 10^{7} m^{-1}[/tex]

[tex]n_f[/tex]= The lower energy level quantum number.=3 (for the paschen series).

n= The quantum number of whichever state the transitions occur from = (for this case of the paschen series).

We have to find the wavelength associated with the photon emitted = [tex]\lambda[/tex] m.

Now we substitute the known values in the above equation, we can find that,

[tex]\frac{1}{\lambda} =1.09737 \times 10^{7} (\frac{1}{3^2 }-\frac{1}{\infty^{2} } )[/tex]

Or,[tex]\frac{1}{\lambda} =1.09737 \times 10^{7}\times \frac{1}{9 }[/tex]

Or,[tex]\frac{1}{\lambda} =1,219,300[/tex]

Or,[tex]\lambda= 8.2\times 10^{-7}[/tex] m

From the above calculation we can conclude that the shortest wavelength in the paschen series is [tex]8.2\times 10^{-7}[/tex] m

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A current of 0.4 A flows through a wire. How many electrons flow through a cross section of
the wire in one hour?
(Ans. e = 1.6 x 10-¹9 C
diameter? mm carries a steady current of 0.3142 A. Find the magnitude of

Answers

9 × 10²¹ electrons flow through a cross section of the wire in one hour.

What is the relation between current and charge?Mathematically, current = charge / timeIn S.I. unit, Charge is written in Coulomb and time in second.

What is the amount of charge flown through a wire for one hour if it carries 0.4 A current?Charge= current × timeCurrent= 0.4 A, time = 1 hour= 3600 sCharge= 0.4× 3600

= 1440 C

How many numbers of electrons present in 1440C of charge?One electron= 1.6 × 10^(-19) CSo, 1440 C = 1440/1.6 × 10^(-19)

= 9 × 10²¹ electrons

Thus, we can conclude that the 9 × 10²¹ electrons flow through a cross section of the wire in one hour.

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A company has been hired to perform environmental remediation on an area of marshland. what would they most likely do? remove pollutants and use technology to monitor the health of the marshland install a new recycling plant in the area recommend burning the marshland and replanting it convert the marshland to residential areas

Answers

Answer:

answer is make marshland better

Explanation:

so if they made marshland better then as a result of that action of making marshland better then marshland would be better!
hopefully i helped dawg

An electron is ejected from the cathode by a photon with an energy slightly greater than the work function of the cathode. How will the final kinetic energy of the electron upon reaching the anode compare to its initial potential energy immediately after it has been ejected?.

Answers

It will be approximately equal.

How will the final kinetic energy change?

We can infer that all of the energy in the electron is Potential energy (PE) because the energy provided by the photon is hardly enough to outweigh the work function.

It will gain kinetic energy (KE) as it advances in the direction of the anode because it is moving through an electric field. All of the PE will have been transformed to KE by the time it reaches the anode.

According to the question

K = hf - W

W = Work function

The energy of photons is comparable. After conversion, there was only a little amount of KE remaining.

Therefore, PE (W) essentially equals KE (K).

It will about be equal.

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Tyre pressure for car

Answers

Answer:

oxygen expanding unjhfyysue hjdbdhdjjhd

Answer:

32 psi to 35 psi.

Explanation:

Normal tire pressure is usually between 32~40 psi(pounds per square inch) when they are cold. So make sure you check your tire pressure after a long stay and usually, you can do it in the early morning.

An electric device delivers a current of 5. 0 a for 10 seconds. how many electrons flow through this device?

Answers

An electric device delivers a current of 5.0 A for 10 seconds then the number of electrons flowing through this device would be 3.125ₓ10²⁰

What is an electric charge?

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively). Unlike charges attract one another while like charges repel one another. We refer to an object as neutral if it has no net charge.

Electric current is defined as the charge per unit of time.

The mathematical relation between current and the electric charge

I =Q/T

where I is the current flowing

Q is the total electric charge

T is the time period for which the current is flowing

By using the above relation between electric current and electric charge

I =Q/T

By substituting the values of current and time

5 =Q/10

Q= 50 Coulomb

The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.

The number of electrons = Total charge /charge on the one electron

                                         =50/1.6×10⁻¹⁹

                                          =3.125ₓ10²⁰

Thus, the total number of electrons flowing through the device would be 3.125ₓ10²⁰.

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Using the formula for the resonant frequency, find the resonant frequency of a lcr circuit with l = 1 mh, c = 560 pf?

Answers

For LCR circuit, the Resonant frequency is 212.68kHz.

Given LCR circuit has L= 1 mH, C= 560pf

f=1/{2*22\7*√[1×10^(-3)H]*√[56*10^(-12)F]

f=212.68kHz

About Resonance frequency:

Equation f = 1 / [2π×√(LC)] can be used to calculate the resonant frequency of the RLC circuit, where:

f is the resonant frequency.L is the inductor's inductance.C is the capacitor's capacitance.

The frequency at which the transfer function reaches its highest value is known as the resonant frequency of an electrical system. Consequently, the greatest output for a given input can be obtained. It has been demonstrated that resonance occurs when the values of the capacitive and inductive impedances are equal.

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What is the change in internal energy of the system (δu) if 71 kj of heat energy is absorbed by the system and 12 kj of work is done on the system for a certain process?

Answers

From the first law of Thermodynamic, the change in internal energy of the system is 83 KJ.

What is Internal Energy of a system ?

The Internal energy of a system is the sum of the random distribution of kinetic and potential energies of its atoms or molecules. Internal energy can be increased by

HeatingCompressionPassing of electric current through it.

Looking for the change in internal energy of the system If 71 KJ of heat energy is absorbed by the system and 12 KJ of work is done on the system for a certain process,

From the first law of Thermodynamic,

ΔU = Q + W

Where

ΔU = Increased in internal energy = ?Q = Energy supplied by heating = 71 KJW = Energy supplied by doing work = 12 KJ

Substitute all the parameters into the formula

ΔU = 71 + 12

ΔU = 83 KJ

Therefore, the change in internal energy of the system is 83 KJ.

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1. what is the electric force between a point charge and a point charge if they are separated by a distance of 5.0 cm? show your work.

Answers

-14.4 N is the electric force between a point charge and a point charge if they are separated by a distance of 5.0 cm.

The electrostatic force between two-point charges is given by:

[tex]F = K_{e}\frac{q1q2}{r^{2} }[/tex]

where,

[tex]K_{e}[/tex] is the Coulomb's constant

q1 and q2 are the two charges

r is the distance between them

In our problem, charge 1 is

[tex]q1=+2=+2.0 *10^{-6}C[/tex]

while charge 2 is

[tex]q2=-2=-2.0 *10^{-6}C[/tex]

and their distance is

r=5.0 cm=0.05 m

So, the electrostatic force between them is

[tex]F=8.99*10^{9} Nm^{2}C^{-2} \frac{(+2.0*10^{-6} )(-2*10^{-6} )}{(0.05m^{2} )}=-14.4N[/tex]

And the negative sign means the force is attractive, because the two charges have opposite sign.

What is electric force?

The electrostatic force between two-point charges separated by a distance is directly proportional to the multiplication of the magnitudes of the charges and inversely proportional to the square of the distance between the charges.

What are some electrostatic force examples?The force of attraction of the plastic wrap to one’s hand and later when hand is removed from the wrap.The attraction of paper to a charged scale by rubbing to hair.The apparently spontaneous explosion of grain silos.Photocopier & laser printer operation.

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The right answer is F= 3.59502N

According to Coulomb’s law if two point charges q1 and q2 are separated by a distance r then the magnitude of the force of repulsion or attraction between them is

F=k|q1| |q2|r2  where k=8.9876*109N.m2C2

What is Coulomb's law?

The product of the charges and the square of the distance between them determine the force of attraction or repulsion occurring in a straight line between two electric charges.

This is the strength of the force that each charge has on the other charge, according to Newton's third law. The symbol k as it is used here has nothing to do with any spring constants or Boltzmann's constant; it has to do with electrical forces!

In the event that charges q1 and q2 have the same sign (either they are both positive or negative), The force on each charge points away from the other charge and is mutually repelling.The force is reciprocal if the charges have opposite signs (one positive, one negative).

Each charge is attracted to the other by its own force.. This is illustrated in

The constant k  is often written as

k=140     where  0=8.85419*10-12C2N.m2

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Which would be represented by FN on a force diagram?
O Northern Force
O Newton Force
O Normal Force
O Negative Force

Answers

The acronym FN on a force diagram would represent Normal Force. That is option C.

What is a force diagram?

A force diagram is the type of diagram that illustrates the different types of forces acting on an object.

The types of forces that can be represented by a force diagram include the following:

Applied Force.

Gravitational Force.

Normal Force.

Frictional Force.

Air Resistance Force.

Tension Force.

Spring Force.

The normal force (FN) is the force that is acting of the object which is perpendicular to the surface the object is in contact with.

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Answer:

C~

Explanation:

Fn is normal, if it's negative then it's most likely -Fn.

Have a good day.

Glycerin at a temperature of 30 degrees celcius flows at a rate of 8×10−6m3/s through a horizontal tube with a 30mm diameter. what is the pressure drop in pascals per 100m?

Answers

The pressure drop in pascal is 3.824*10^4 Pascals.

To find the answer, we need to know about the Poiseuille's formula.

How to find the pressure drop in pascal?We have the Poiseuille's formula,

                      [tex]Q=\frac{\pi Pr^4}{8\beta l}[/tex]

where, Q is the rate of flow, P is the pressure drop, r is the radius of the pipe, [tex]\beta[/tex] is the coefficient of viscosity (0.95Pas-s for Glycerin) and l being the length of the tube.

It is given that,

                [tex]Q=8*10^{-6}m^3/s\\diameter=30mm, thus,\\r=15mm\\l=100m\\\beta =0.95[/tex]

Thus, the pressure drop will be,

                [tex]P=\frac{8Q\beta l}{\pi r^4} =\frac{8*8*10^{-6}*0.95*100}{3.14*(15*10^{-3})^4} \\\\P=3.824*10^4Pascals.[/tex]

Thus, we can conclude that, the pressure drop in pascal is 3.824*10^4 Pascals.

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Consider a standing wave on a string. What is the distance between two adjacent nodes in terms of the wavelength λ of the standing wave?.

Answers

The distance between the two adjacent nodes = λ/2.

What is Wavelength?

A periodic wave's wavelength is its spatial period, or the length over which its form repeats. It is a property of both travelling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda (λ) is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.

The distance between the two adjacent nodes = λ/2.

for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.

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What is the length of a box in which the minimum energy of an electron is 1. 1×10^−18 j ?

Answers

The length of a box in which the minimum energy of an electron is 1. 1×[tex]10^{-18}[/tex] j will be 74 * [tex]10^{-10}[/tex] m

Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. As you go farther from the nucleus, electrons at higher energy levels have more energy

Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. Electrons are tiny, negatively charged particles in an atom that move around the positive nucleus at the center. Energy levels are a little like the steps of a staircase.

One electron volt is the energy that an electron gains when it travels through a potential difference of one volt (1 eV = 1.6 x 10-19 Joules). Electrons in a hydrogen atom must be in one of the allowed energy levels. If an electron is in the first energy level, it must have exactly -13.6 eV of energy.

Energy of an electron in nth shell can be calculated as

E (n) = [tex]\frac{n^{2} h^{2} }{8ml^{2} }[/tex]

energy will be minimum in 1st shell

putting n=1

E (n) = [tex](1)^{2}[/tex] *  [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]

1.1 * [tex]10^{-18}[/tex] =  [tex](1)^{2}[/tex] *  [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]

length(l)  = 74 * [tex]10^{-10}[/tex] m

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If one oscillation has 5. 8 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes?

Answers

The ratio of their amplitudes will be 2.41.

To find the answer, we have to know more about the simple harmonic motion.

How to find the ratio of their amplitudes?It is given that,

                        [tex]E_1=5.8E_2\\m_1=m_2 \\\omega_1=\omega_2[/tex]

We have the relation between these quantities and amplitudes as,

                        [tex]A=\sqrt\frac{2E}{k} \\k=m\omega^2[/tex]

Here, for both the oscillation, k will be same.Thus, the ratio of amplitude will be,

                      [tex]\frac{A_1}{A_2} =\sqrt{\frac{E_1}{E_2} } =\sqrt{\frac{5.8E_2}{E_2} } =2.41[/tex]

Thus, we can conclude that, the ratio of their amplitudes will be 2.41.

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