An electric power plant uses energy from burning coal to generate steam at 450∘C. The plant is cooled by 20∘C water from a nearby river. If burning coal provides 100 MJ of heat, what is the theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy? A. 100 MJ. B. 90 MJ. C. 60 MJ. D. 40 MJ.

Answers

Answer 1

Answer:

40 MJ (D)

Explanation:

Quantity of heat (Qh) = 100 MJ

temperature of steam (Th) = 450°c = 450 + 273 = 723 K

emperature of water (TI) = 20 °c = 20 + 273 = 293 k

efficiency = (Qh-Qi)/Qh = (Th-Ti)/Th

 [tex]\frac{100x10x^{6}-Qi }{100x10^{6}} = \frac{723-293}{723}[/tex]

[tex]100x10^{6}[/tex] - Qi= 0.5947 x [tex]100 x 10 ^{6}[/tex]

[tex]100x10^{6}[/tex] - (0.5947 x [tex]100x10^{6}[/tex]) = Qi

Qi = 40.5 MJ equivalent to 40 MJ (D)

Answer 2
Final answer:

The theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy is 0.0836 MJ, which is closest to option D: 40 MJ.

Explanation:

The theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy can be calculated using the formula:

Q = m * c * ΔT

Where Q is the heat transferred, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

In this case, we know the change in temperature (ΔT) is 20∘C and we need to find the heat transferred (Q). For simplicity, we will use a mass of 1 kg. The specific heat capacity of water is approximately 4.18 J/g°C.

Using the formula, we can calculate:

Q = 1 kg * 4.18 J/g∘C * 20∘C

We need to convert grams to kilograms:

Q = 1 kg * 4.18 J/g∘C * 20∘C * (1 g / 1000 kg)

Q = 0.0836 MJ

This means the theoretical minimum amount of heat that must be transferred to the river during the conversion of heat to electric energy is 0.0836 MJ, which is closest to option D: 40 MJ.

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Related Questions

A force of 40 Newtons is applied to a mass resulting in an acceleration of 8 m/s2What force would need to be applied to this mass to cause an acceleration of 25 m/s2?

Answers

Answer:

125 N

Explanation:

Force: This can be defined as the product of the mass of a body and its acceleration. S.I unit of force is Newton (N).

Mathematically, Force can be expressed as,

F = ma................... Equation 1

Where F = force, m = mass, a = acceleration of the body.

Making m the subject of the equation,

m = F/a ............... Equation 2.

Given: F = 40 Newtons, 8 m/s²,

Substituting into equation 2

m = 40/8

m = 5 kg,

When the acceleration a = 25 m/s²

Substitute into equation 1

F = 25×5

F = 125 N.

Hence the needed = 125 N.

To cause an acceleration of 25 m/s2 on the given mass, a force of 125 Newtons would be needed.

To find the force needed to cause an acceleration of 25 m/s2 on the same mass, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. First, we can calculate the mass by dividing the force of 40 Newtons by the acceleration of 8 m/s2: 40 N = mass x 8 m/s2.

Therefore, the mass is 5 kg. Next, we can use the calculated mass and the desired acceleration of 25 m/s2 to find the force: force = mass x acceleration. Substituting the values, we have force = 5 kg x 25 m/s2 = 125 Newtons.

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1.Are BEVs or hydrogen fuel cell vehicles a more promising transportation technology for the future?

2.Should car companies be required to produce electric cars?

Answers

Answer:

1. Yes, BEVs or hydrogen fuel cell vehicles are a more promising transportation technology for the future.

2. Yes, car companies should be require to produce electric cars.

Explanation:

BEV stands for battery electric vehicle which is a type of electric vehicle. These vehicle and hydrogen fuel vehicles are a promising transportation technology for future as traditional vehicles along with other factors have polluted the earth so much that now we have to minimize the carbon footprint. The natural resources of fuel are also getting scare. So, these batteries assisted and eco-friendly are the need of the present and are vital in playing a important role in transportation in future.Car companies should be require to produce electric cars as some companies like Tesla has already their electric car in the market lately. The countries in the scandinavian region have adopted the policy to promote and use this vehicles so company come forward to provide eco-friendly and price competitive vehicles so everyone can take the advantage.

Both BEVs and FCEVs have their roles in the future of transportation, with BEVs currently leading in light-duty vehicles and FCEVs being more suitable for heavier-duty applications. Mandating the production of electric vehicles involves several considerations, including environmental benefits, technological adoption, and infrastructure readiness.

Comparing Battery Electric Vehicles (BEVs) and Hydrogen Fuel Cell Vehicles (FCEVs)

When looking at the future of transportation technology, both Battery Electric Vehicles (BEVs) and Hydrogen Fuel Cell Vehicles (FCEVs) have their respective advantages and roles to play. BEVs are currently more prevalent and benefit from ongoing advances in battery technology that aim to increase energy density, decrease charging time, and reduce weight, securing their place in the market, especially for short to medium-range transportation. Meanwhile, FCEVs offer promise for applications where the quick refueling and longer range of conventional vehicles are required, making them particularly suitable for medium-duty and heavy-duty vehicles, such as delivery trucks and buses. The choice between the two technologies might depend on the specific needs of the transportation sector, whether it's for personal vehicles, long-distance road transport, or heavy-duty applications.

Should Car Companies Be Required to Produce Electric Cars?

The requirement for car companies to produce electric cars stems from global environmental pressures such as climate change and air quality concerns. Governments might consider mandates for electric vehicles production to reduce greenhouse gas emissions and promote fuel independence. However, the question involves not only environmental and political considerations but also practical aspects of technology adoption, economics, and consumer preferences. The impact on residential areas in terms of increased electrical demand, potential reliance on nighttime charging to utilize solar input, and consumer willingness to adopt new technologies while considering the costs of battery decline and replacement are all factors that would need to be addressed in such a transition.

You're explaining to your client that using electronic documents and signatures simplifies the home buying process. Your client is skeptical about these signatures. You describe the Uniform Electronic Transactions ACT (UETA) and tell your client?

Answers

Answer: State laws take precedence over UETA

Explanation: The UETA is an attempt to standardize acceptance of electronic documents and signatures, but state laws govern the use of these electronic items.

UETA is a legislative act that, in terms of the statute of laws, accords electronic signatures the same legal standing as handwritten ones as released by the Uniform Law Commission in 1999.

What is UETA?

Only specified types of electronic  transactions and those where the parties have consented to conduct the transaction electronically are covered by the UETA.

Any electronic sound, symbol, or procedure that is both attached to or linked with a document or contract qualifies as an electronic signature executed with the goal of signing the document.

Any electronic sound, symbol, or procedure connected to a contract with the intent to sign is considered an electronic signature. Even if an electronic signature is valid, a judge may rule that it cannot be used because the amount of assurance it provided was insufficient.

Every state  the district of Columbia, Puerto Rico, and the  Islands have accepted the UETA. Despite not having the UETA, New York has similar legislation that make electronic signatures enacted.

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Technician A says clutch slippage can best be diagnosed with the vehicle stopped, parking brake applied, placing the transmission in 4th gear, and slowly releasing the clutch pedal to see if it stalls the engine. Technician B says an excessively slipping clutch can cause friction surface warpage or hot spots. Who is correct?
Select one:

a. Technician A
b. Technician B
c. Both Technician A and Technician B
d. Neither Technician A nor Technician B

Answers

Answer:

c. Both Technician A and Technician B

Explanation:

It is true that the clutch slippage can be diagnosed with vehicle stopped  parking brake applied, placing the transmission in 4th gear, and slowly releasing the clutch pedal to see if it stalls the engine. Hence techician A is correct.

Moreover, excessive slipping clutch can cause friction surface warpage ( being bent or twisted out of shape) and hot spot( heat energy from the friction.

Therefore, both technician A and B are correct.

Both Technician A and Technician B are correct. Technician A provides a valid diagnostic technique for clutch slippage, and Technician B accurately describes the consequences of an excessively slipping clutch. Hence option c is the answer.

The question addresses two different technicians' statements about diagnosing clutch problems and the effects of clutch slipping. Technician A suggests a diagnostic method for clutch slippage, while Technician B explains a potential consequence of an excessively slipping clutch.

Technician A is correct because testing the clutch by placing the vehicle in a higher gear and releasing the clutch pedal with the parking brake engaged can indeed help diagnose if there is clutch slippage. If the engine does not stall, it indicates that the clutch is not engaging fully and is slipping. Technician B is also correct because an excessively slipping clutch can lead to damage such as friction surface warpage or the development of hot spots on the clutch components due to excessive heat generated by the friction.

The appropriate answer to the student's question is:

c. Both Technician A and Technician B

According to Lewin's Change Model, an organization must deliberately change old habits, learn new work methods, and accept the new work methods as parts of the job.

Answers

Answer:

True

Explanation:

The Kurt Lewin Model: Defines change as a modification of the forces that maintain the behavior of a stable system.

    Which is the product of two types of forces that help to make the change (F. Drivers) and those that prevent change from occurring (F restrictive) that want to maintain the same state of the organization.

    When both forces are balanced, the levels of behavior are maintained and a quasi-stationary equilibrium is achieved according to Lewin. To modify it you can increase the forces that cause the change or decrease the forces that prevent it or change both tactics. Lewin proposes a three-phase plan to carry out the planned change

Defrosting: involves reducing the forces that keep the organization at its current level of behavior.

Change or movement: It consists of moving towards a new state or new level within the organization with respect to behavior patterns and habits, behaviors and attitudes.

Recongelación: The organization is stabilized in a new state of equilibrium where culture, norms, policies and organizational structure are used.

According to Lewin's Change Model, organizations must deliberately change old habits, learn new work methods, and accept them as part of the job. Hence the statement is True.

True. According to Lewin's Change Model, organizations must deliberately change old habits, learn new work methods, and accept them as part of the job. This process involves transitioning through phases of change to achieve successful organizational transformation.

The traffic on the freeway is moving at a constant speed of 24 m/sm/s. What distance does the traffic travel while the car is moving the length of the ramp?

Answers

Incomplete question as there is so much information is missing.The complete question is here

A car sits on an entrance ramp to a freeway, waiting for a break in the traffic. Then the driver accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of 24 m/s (54 mi/h) when it reaches the end of the 120-m-long ramp. The traffic on the freeway is moving at a constant speed of 24 m/s. What distance does the traffic travel while the car is moving the length of the ramp?

Answer:

Distance traveled=240 m

Explanation:

Given data

Initial velocity of car v₀=0 m/s

Final velocity of car vf=24 m/s

Distance traveled by car S=120 m

To find

Distance does the traffic travel

Solution

To find the distance first we need to find time, for time first we need acceleration

So

[tex](V_{f})^{2}=(V_{o})^{2}+2aS\\ So\\a=\frac{(V_{f})^{2}-(V_{o})^{2} }{2S}\\ a=\frac{(24m/s)^{2}-(0m/s)^{2} }{2(120)}\\a=2.4 m/s^{2}[/tex]

As we find acceleration.Now we need to find time

So

[tex]V_{f}=V_{i}+at\\t=\frac{V_{f}-V_{i}}{a}\\t=\frac{(24m/s)-(0m/s)}{(2.4m/s^{2} )}\\t=10s[/tex]

Now for distance

So

[tex]Distance=velocity*time\\Distance=(24m/s)*(10s)\\Distance=240m[/tex]

An object with a charge of -3.2 uC and a mass of 1.0×10^(-2) kg experiences an upward electric force, due to a uniform electric field, equal in magnitude to its weight.

If the electric charge on the object is doubled while its mass remains the same, find the direction and magnitude of its acceleration.

upward
downward
to the left
to the right

Answers

Answer:

The magnitude of the acceleration is equal to 19.6m/s² and the acceleration is directed upwards though the magnitude of the charge has doubled. This is because the electric force is directed upwards and from newton's second law of motion the charge will have acceleration in the same direction as the electric force on the charge.

Explanation:

The detailed solution can be found in the attachment below.

Thank you for reading and I hope this is helpful to you.

Final answer:

The acceleration direction and magnitude will remain the same when the charge on the object is doubled while its mass remains the same.

Explanation:

When the charge on the object is doubled while its mass remains the same, the acceleration direction and magnitude will remain the same. It will still experience an upward acceleration.

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A child is sliding on a sled at 1.3 m/s to the right. You stop the sled by pushing on it for 0.80 s in a direction opposite to its motion. Part A If the mass of the child and sled is 34 kg , what is the magnitude of the average force you need to apply to stop the sled?

Answers

Answer:

find acceleration first

a = vf - vi / t

a = 0  - 1.5 / 0.5s   (vf is zero)

a = -3 (negative sign indicates that acceleration is decreasing)

so F=ma

    F = 35 x -3

   F = -105 N (here negative sign indicates that u have to apply a force opposite to the boy's direction i.e from the left or towards the right)

Explanation:

A golfer, driving a golf ball off the tee, gives the ball a velocity of 38 m/sec. The mass of the ball is 0.045 kg, and the duration of the impact with the golf club is 0.003 sec. What is the change in momentum of the ball?

Answers

Answer:

Explanation:

momentum (p) = mass × velocity.

Change in momentum (∆p) = final momentum - initial momentum.

∆p = 0.045×38 - 0.045×0

∆p = 1.7 kg m/s.

Momentum (p) = mass × velocity. Change in momentum (∆p) = final momentum - initial momentum.

What is Change in momentum?

The word "momentum" is frequently used in sports. A squad that is moving forward and has momentum will be difficult to stop.

A team that is genuinely moving forward and gaining momentum will be challenging to stop. A physics phrase, momentum describes the amount of motion that an item has. The momentum belongs to a sports team that is actively playing.

The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion.  ∆p = 0.045×38 - 0.045×0, ∆p = 1.7 kg m/s.

Therefore, Momentum (p) = mass × velocity. Change in momentum (∆p) = final momentum - initial momentum.

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After a 0.260-kg rubber ball is dropped from a height of 19.5 m, it bounces off a concrete floor and rebounds to a height of 15.5 m. (a) Determine the magnitude and direction of the impulse delivered to the ball by the floor.

Answers

Answer:

a)impulse = 10.7296 kg-m/s (upward)

b) F = 268.24 N (upward)

Explanation:

(a)

velocity of ball before it strikes the floor:

initial gravitational potential energy = final kinetic energy

mgh = (1/2)mv²

v = sqrt(2gh)

v = sqrt[2(9.81 m/s²)(19.5 m)]

v = 19.5599 m/s

velocity of ball after striking the floor:

initial kinetic energy = final gravitational potential energy

(1/2)mv² = mgh

v = sqrt(2gh)

v = sqrt[2(9.81 m/s²)(15.5m)]

v = 17.4387 m/s

impulse = change in momentum

impulse = (0.290 kg)(17.4387 m/s - (-19.5599 m/s))

impulse = 10.7296 kg-m/s (upward)

(b)

impulse = (force exerted)(time)

10.7296 kg-m/s = F(0.04 s)

F = 268.24 N (upward)

An automobile having a mass of 2000 kg deflects its suspension springs 0.02 m under static conditions. Determine the nafural frequency of the automobile in the vertical direction by assuming damping to be negligible.

Answers

Answer:Frequency = 3.525 Hertz

Explanation:In static equilibrium, kd =mg

Where k= effective spring constant of the spring.

mg= The weight of the car.

d= static deflection.

Therefore, w =SQRTg/d

w = SQRT 9.81/0.02

w= 22.15 rad/sec

Converting to Hertz unit for frequency

1 rad/s = 0.1591

22.15rad/s=?

22.15 × 0.1591= 3.525 hertz

The natural frequency of the automobile in the vertical direction is 3.52 Hertz

Static equilibrium

Static equilibrium refers to the physical state in which the components of a system are at rest and the net force acting through the system is equal to zero.

In static equilibrium:

kd = mg

where;

k = effective spring constant of the spring.

mg = the weight of the car

d = static deflection.

also K = mω²

where ω is angular velocity

m is mass

Thus, mω²d = mg

ω²d = g

ω = √g/d

ω = g/d

ω  = √9.8/0.02

ω = 22.15 rad/sec

Converting to Hertz unit for frequency

1 rad/s = 0.1591 Hertz

22.14 rad/s = 22.14 * 0.1591

22.14 rad/s = 3.525 hertz

Therefore, the natural frequency of the automobile in the vertical direction is 3.52 Hertz

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Polychlorinated biphenyls (PCBs) have been banned because they are an environmental hazard. Which of the following was NOT a reason for banning them?

Answers

Answer:

PCBs have high electrical resistance and are excellent insulating materials.

Explanation:

Polychlorinated biphenyls [PCBs] are industrial chemical compounds made by man, which contains carbon, hydrogen and chlorine atoms. They can be used in the production of paints and dyes, heat transfer, etc.

There has been the ban on the use of these compounds because they are said to be very stable, and yield slowly to degradation by nature. They have low and not high electrical resistance.  

A race car completes a lap on a 1600 m long track with an average speed of 250 km/h. If the car's average speed on the first half of the track was 215 km/h, what was its average speed (in km/h) on the second half?

Answers

Its average speed (in km/h) on the second half is 298.76 km/hr

Explanation:

Length of track = 1600 m

Average speed = 250 km/h = 69.44 m/s

We have

      Distance = Speed x Time

      1600 = 69.44 x time

      Time = 23.04 seconds

Total time = 23.04 seconds

Half of the track = 0.5 x 1600 = 800 m

Speed on first half = 215 km/hr = 59.72 m/s

We have

      Distance = Speed x Time

      800 = 59.72 x time

      Time = 13.40 seconds

Time taken to complete remaining half = 23.04 - 13.40 = 9.64 seconds

Distance = 800 m

We have

      Distance = Speed x Time

      800 = Speed x 9.64

      Speed = 82.99 m/s = 298.76 km/hr

Its average speed (in km/h) on the second half is 298.76 km/hr

Ocean tides are waves that have a period of 12 hours, an amplitude (in some places) of 1.50 m, and a speed of 750 km/hr. What is the distance between adjacent crests of these waves?

Answers

Answer:

distance between adjacent crests = 9000 km

Explanation:

given data

time period = 12 hours

amplitude = 1.50 m

speed = 750 km/hr

solution

we get here distance between adjacent crests that is express as

distance between adjacent crests = speed × time ..............1

put here value and we get

distance between adjacent crests = 750 × 12

distance between adjacent crests = 9000 km

Final answer:

The distance between adjacent crests of an ocean tide's waves, also known as the wavelength, can be calculated using the formula for wave speed and the given values. The frequency of the tide is 0.083 cycles per hour, and by substituting the values into the formula, we obtain a wavelength of approximately 9045 kilometers.

Explanation:

The distance between adjacent crests of waves, also known as the wavelength, can be calculated using the formula for wave speed: speed = frequency x wavelength. Since the tide has a period (time for one complete cycle) of 12 hours, this means its frequency is 1 cycle/12 hours. However, since the speed is in km/hr, we need to convert the frequency to cycles per hour. This gives us a frequency of 2 cycles/24 hours = 0.083 cycles per hour.

Now we can substitute the values into the formula: 750 km/hr = 0.083 cycles/hr x wavelength. Solving for wavelength, we get a wavelength of about 9045 kilometers.

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An uncharged pith ball is suspended by a nylon fiber. When a negatively charged rubber rod is brought nearby, without touching it, the pith ballA. Becomes charged by induction.
B. Becomes polarized.
C. Is repelled by the rod.
D. Is unaffected.
E. None of the above choices are correct.

Answers

Answer:

B

Explanation:

An uncharged pith ball is suspended by a nylon fiber. When a negatively charged rubber rod is brought nearby, without touching it, the pith ball A.

Becomes polarized.

We claim the allegation has been divided inside the can. Polarization implies, in general terms, separating between opposites.  Polarization is the method of splitting contrary charges inside an object, in the case of electricity. The positive charge is distinguished from the negative charge.

The correct answer is: A. Becomes charged by induction.

When a negatively charged rubber rod is brought near an uncharged pith ball suspended by a nylon fiber, the pith ball becomes charged by induction. The rod induces a dipole moment in the pith ball, causing it to be attracted in the inhomogeneous field surrounding the rod. This procedure illustrates one of the basic ideas of electrostatics: the existence of a charged object can affect the way charges are distributed in a nearby neutral object, causing the object to acquire a charge by induction.

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