An inventor claims to have invented a heat engine that receives 750kJ of heat from a source at 400K and produces 250kJ of net work while rejecting the waste heat to a sink at 300K. Is this a reasonable claim

Answers

Answer 1

Answer:

the claim is not valid or reasonable.

Explanation:

In order to test the claim we will find the maximum and actual efficiencies. maximum efficiency of a heat engine can be found as:

η(max) = 1 - T₁/T₂

where,

η(max) = maximum efficiency = ?

T₁ = Sink Temperature = 300 K

T₂ = Source Temperature = 400 K

Therefore,

η(max) = 1 - 300 K/400 K

η(max) = 0.25 = 25%

Now, we calculate the actual frequency of the engine:

η = W/Q

where,

W = Net Work = 250 KJ

Q = Heat Received = 750 KJ

Therefore,

η = 250 KJ/750 KJ

η = 0.333 = 33.3 %

η > η(max)

The actual efficiency of a heat engine can never be greater than its Carnot efficiency or the maximum efficiency.

Therefore, the claim is not valid or reasonable.


Related Questions

The CERN particle accelerator is circular with a circumference of 7.0 km.

Required:
a. What is the acceleration of the protons (m=1.67×10^−27kg) that move around the accelerator at of the speed of light? (The speed of light is v=3.00×10^8m/s.)
b. What is the force on the protons?

Answers

Answer:

Explanation:

a) centripetal acceleration is the acceleration of a body in a circular path. It is expressed as;

a = mv²/r

m is the mass of proton = 1.67×10^−27kg

v is the velocity = 3.00×10^8m/s

r is the radius

Since C = 2πr

7000m = 2πr

r = 7000/2π

r = 1114.08m

Substitute

a = 1.67×10^−27 (3.00×10^8)²/1114.08

a =  1.67×10^−27 * 9×10^16/1114.08

a = 15.03*10^-11/1114.08

a = 0.001346*10^-11

a = 1.346*10^-14m/s²

b) Force on the proton = mass * acceleration

Force = 1.67×10^−27kg * 1.346*10^-14

Force = 2.246*10^-41N

hence the force on the proton is 2.246*10^-41N

g A 320-g air track cart is traveling at 1.25 m/s and a 270-g cart traveling in the opposite direction at 1.33 m/s. What is the speed of the center of mass of the two carts

Answers

Answer:

1.287m/s

Explanation:

Using the law of conservation of mass expressed as;

m1u1+m2u2 = (m1+m2)v

m1 and m2 are the masses of the objects

u1 and u2 are the velocities

v is the speed of the center of mas of the two carts

Given

m1 = 320g = 0.32kg

u1 = 1.25m/s

m2 = 270g = 0.27kg

u2 = 1.33m/s

Substitute this value into the formula and get v;

0.32(1.25)+0.27(1.33) =  (0.32+0.27)v

0.4+0.3591 = 0.59v

0.7591 = 0.59v

v = 0.7591/0.59

v = 1.287m/s

hence the speed of the center of mass of the two carts is 1.287m/s

A 10.0 kg mass is attached to the end of a 2.00 m long brass rod, which has a diameter of 1.00 mm and negligible mass. The mass at the end is pulled, stretching the rod slightly, and then released. If the elastic modulus of brass is 9.10 × 1010 N/m2, then the period of the resulting oscillations is
A. 0.175 sec.
B. 0.105 sec.
C. 0.133 sec.
D. 0.145 sec.
E. 0.167 sec.

Answers

Answer:

The appropriate alternative is Option B (0.105 sec.).

Explanation:

The given values are:

Elastic modulus,

Y = 9.10 × 10¹⁰ N/m²

Mass,

m = 10.0 kg

Length of rod,

l = 2.00 m

Diameter,

d = 1.00 mm

Now,

⇒ [tex]Keq=\frac{AY}{l}= \frac{\pi D^2 Y}{4l}[/tex]

On substituting the values, we get

⇒                   [tex]=\frac{\pi \times 10^{-6}\times 9.1\times 10^{10}}{4\times 2}[/tex]

⇒                   [tex]=3.574\times 10^4[/tex]

The time period will be:

⇒ [tex]T=2\pi \sqrt{\frac{m}{Keq} }[/tex]

On substituting the above values, we get

⇒     [tex]=2\pi \sqrt{\frac{10}{3.574\times 10^4}}[/tex]

⇒     [tex]=0.105 \ seconds[/tex]

The time period resulting oscillations will be 0.1005 seconds.

What is the time period of oscillation?

The period is the amount of time it takes for a particle to perform one full oscillation. T is the symbol for it. Taking the reciprocal of the frequency yields the frequency of the oscillation.

The given data in the problem is;

[tex]\rm \gamma[/tex] is the elastic modulus=9.10 × 10¹⁰ N/m²

m is the mass= 10.0 kg

l is the length of brass rod= 2.00 m

d is the diameter of 1.00 mm

The value of the equivalent stiffness will be;

[tex]\rm K_{eq}= \frac{AY}{l}\\\\ \rm K_{eq}= = \frac{\pi d^2 Y}{4l} \\\\ \rm K_{eq}=\frac{3.14 \times 10^{-6}\times 9.1 \times 10^{10} }{4\times 2 } \\\\ \rm K_{eq}= 3.574 \times 10^4[/tex]

The time period of the  oscillation is given by;

[tex]\rm T = 2 \pi \sqrt{\frac{m}{k_{eq}} } \\\\ \rm T = 2 \times 3.14 \sqrt{\frac{10}{3.574 \times 10^4}[/tex]

[tex]\rm T = 0.105 \ sec[/tex]

Hence the time period resulting oscillations will be 0.1005 seconds.

To learn more about the time period of oscillation refer to the link;

https://brainly.com/question/20070798

Bru challenge with the physics.

Answers

I don’t like school :(

Answer:

WHATATATATTAT

Explanation:

Help me with this please !!
Pt 1_It would be harder to do experiments on or near jupiter for many reasons ! One being that jupiters top layers are known to be gas. However if we could hover over Jupiter and test its gravity, describe or sketch the shape of the position vs time graph for a dropped object.
PT2_ The acceleration due to gravity near Jupiter is 25.95m/s. If a hammer were dropped, how fast wouldit be going after falling 20.0 meters. Show your work !

Answers

25.4is the right answer

Answer:

he is right he Is

Explanation:

step by step explanation

it opens or close the circuit​

Answers

Answer:

The person above me is right i had a test a couple of days ago and thats kinda what u put and got it right!

You are working out on a rowing machine. Each time you pull the rowing bar (which simulates the oars) toward you, it moves a distance of 1.1 m in a time of 1.3 s. The readout on the display indicates that the average power you are producing is 92 W. What is the magnitude of the force that you exert on the handle?

Answers

Answer:

The magnitude of force exerted on the handle is 108.73 N

Explanation:

To determine the magnitude of force exerted, we will use the formula relating Power and Force.

Power is the rate at which work is done. Power can be calculated from the formula

Power = Work / Time

But, Work = Force × Distance

Hence,

Power is given by the formula

[tex]P = \frac{F \times s}{t}[/tex]

Where P is the Power

F is the force

s is the distance

and t is the time

From [tex]P = \frac{F \times s}{t}[/tex],

Then we can write that

[tex]F = \frac{P \times t}{s}[/tex]

From the question,

Distance, s = 1.1 m

Time, t = 1.3 s

Power, P = 92 W

Putting these values into the formula, we get

[tex]F = \frac{92 \times 1.3}{1.1}[/tex]

[tex]F = \frac{119.6}{1.1}[/tex]

[tex]F = 108.73N[/tex]

Hence, the magnitude of force exerted on the handle is 108.73 N.

a steel is 40cm long at 20c.the coefficient of linear expansivity for steel is 0.000012.find the increase in length at 70C

Answers

Answer:

janakajnakanabjjiaj yav good day for you to everyone else to do with my family is it just doesn't want me and I am

Jaeda designs two electromagnets of different strengths. The first electromagnet has an insulated copper wire wrapped around an iron nail many times before it is connected to a battery. The second electromagnet has its insulated copper wire wrapped around a similar nail a fewer number of times before it is connected to two smaller batteries as shown in the image. Jaeda tries to determine which electromagnet is stronger by bringing each near a bowl containing eight metal paper clips. She observes that both electromagnets attract all eight of the paper clips.

How can Jaeda demonstrate that each electromagnet has a different strength

A. Place a metal paper clip on a table and slowly bring each electromagnet closer to the paper clip to see which can attract the paper clip from a greater distance.
B. Determine which electromagnet has its copper wire wrapped around its iron nail a greater number of times.
C. Add plastic paper clips to the bowl and check which electromagnet can attract both kinds of paper clips.
D. Reduce the number of paper clips in the bowl and find which electromagnet attracts more paper clips.

Answers

Answer:A

Explanation:

Place a metal paper clip

You are a world-famous physicist-lawyer defending a client who has been charged with murder. It is alleged
that your client, Mr. Lawton, shot the victim, Mr. Cray. The detective who investigated the scene of the
crime, Mr. Dibny, found a second bullet, from a shot that missed Mr. Cray, that had embedded itself into a
chair. You arise to cross-examine the detective.
You: In what type of chair did you find the bullet?
Dinby: A wooden chair.
You: How massive was this chair?
Dinby: It had a mass of 20 kg.
You: How did the chair respond to being struck with a bullet?
Dinby: It slid across the floor.
You: How far?
Dinby: Three centimeters. The slide marks on the dusty floor are quite distinct.
You: What kind of floor was it?
Dinby: A wood floor.
You: What was the mass of the bullet you retrieved from the chair?
Dinby: Its mass was 10 g.
You: Have you tested the gun you found in Mr. Lawton's possession?
Dinby: I have.
You: What is the muzzle velocity of bullets fired from that gun?
Dinby: The muzzle velocity is 450 m/s.
With only slight hesitation, you turn confidently to the jury and proclaim, "My client's gun did not fire those
shots!"
(a) How are you going to convince the jury and judge?
(b) Choose one part of your solution and perform a sense-making analysis. Clearly state which sensemaking analysis you’ve chosen and why.

Answers

Answer:

It was not fired from the client's gun because the chair slid only 3 centimeters . If it had been fired from the client's gun the chair would slid 25.82 centimeters.

Explanation:

According to the law of conservation of momentum the momentum of the system before collision must be equal to the momentum of the system after the collision.

M1u1= m2u2

Let M1 = mass of the chair = 20kg

     m2= mass of the bullet= 10g= 0.001kg

      u1= velocity of the chair before collision = zero m/s

      u2 =  velocity of the bullet before collision = zero m/s

         v1= velocity of the chair after collision = ?  m/s  

        v2 =  velocity of the bullet after collision = 450 m/s

After collision their velocities change from u1 to v1 and u2 to v2 so

M1v1= m2v2

v1= m2v2/M1

v1= 0.01 *450/ 20=  0.225 m/s

Now according to the law of conservation of energy the energy of the system before collision must be equal to the energy of the system after the collision.

The energy of the chair after the bullet is hit is

KE of the chair + KE of the bullet=  1/2 (M)(v1)²+ 1/2 m(v2)²=

1/2 ( 20) (0.225 )² + 1/2 (0.01) (450)²

= 0.50625 + 1012.5=  1013.00625 Joules

Frictional force = Coefficient of kinetic force of wood on wood ( M+m) g

                           = 0.2* ( 20.01) 9.8=   39.2196 N

Work done by friction = frictional force * distance

If law of conservation of energy is applied  the KE  must be equal to the work done

KE = W

W= f*d

KE= F*d

d = KE/f= 1013.00625/ 39.2196= 25.82 cm

The chair did not move 25.82 cm .

It only moved 3 centimeter.

Hence the bullet fired was not from the client's gun.

.
An oatmeal cookie is dropped on the floor. Is this an inelastic collision?

Answers

Answer:

It is not inelastic because the cookie and floor do not move away together as a unit.

Explanation:

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