An insulated rigid tank initially contains 1.4-kg saturated liquid water and water vapor at 200°C. At this state, 25 percent of the volume is occupied by liquid water and the rest by vapor. Now an electric resistor placed in the tank is turned on, and the tank is observed to contain saturated water vapor after 20 min. Determine:


(a) the volume of the tank

(b) the final temperature

(c) the electric power rating of the resistor

Answers

Answer 1

Solution:

Mass of liquid water and water vapor in the insulated tank initially = 1.4 kg

Temperature = 200 °C

And 25% of the volume by liquid water is steam.

State 1

[tex]$m=\frac{V}{v}$[/tex]

[tex]$m=m_f+m_g$[/tex]

[tex]$1.4=\frac{0.25V}{v_f}+\frac{0.75V}{v_g}$[/tex]

[tex]$1.4=\frac{0.25V}{1.1565 \times 10^{-3}}+\frac{0.75V}{0.1274}$[/tex]       (taking the value of [tex]$v_g$[/tex] and [tex]$v_g$[/tex] at 200°C  )

[tex]$V=6.304 \times 10^{-3}$[/tex]

Now quality of vapor

[tex]$x=\frac{m_g}{m}$[/tex]

  [tex]$=3.377 \times 10^{-3}$[/tex]

Internal energy at state 1 can be found out by

[tex]$u_1=u_f+xu_{fg}$[/tex]

    [tex]$=850.65+3.377\times10^{-3}\times 1744.65$[/tex]

    = 856.54 kJ/kg

After heating with the resistor for 20 minutes, at state 2, the tank contains saturated water vapor [tex]$v_2=v_g \text { and }\ x=1$[/tex]

Tank is rigid, so volume of tank is constant.

[tex]$v_g=v_2=\frac{V}{m}$[/tex]

[tex]$v_g=\frac{6.304\times 10^{-3}}{1.4}$[/tex]

[tex]$v_g=4.502 \times 10^{-3} \ m^3 /kg$[/tex]

Now interpolate the value to get temperature at state 2 with specific volume value to get final temperature

[tex]$T_2=360+(374.14-360)\left(\frac{0.004502-0.006945}{0.003155-0.006945}\right)$[/tex]

   = 369.11° C

Internal energy at state 2

[tex]$u_2=2154.9 \ kJ/kg$[/tex]

Now power rating of the resistor

[tex]$P=\frac{m(u_2-u_1)}{t}$[/tex]

[tex]$P=\frac{1.4(2154.9-856.54)}{20 \times 60}$[/tex]

  = 1.51 kW


Related Questions

You are at a circus and you see a stunt man climb up 29.4 meters into a cannon. He gets fired horizontally out of the cannon with a speed of 57.1 m/s. How long was stunt man in the air for?

Answers

Answer:

t = 2.44 s

Explanation:

Given that,

A stunt man climb up 29.4 meters into a cannon. He gets fired horizontally out of the cannon with a speed of 57.1 m/s.

We need to find the time for which was the stunt man in the air. Let it is t. It can be calculated using second equation of motion as follows :

[tex]s=ut+\dfrac{1}{2}gt^2[/tex]

u is initial speed and it is 0

[tex]s=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2s}{g}} \\\\t=\sqrt{\dfrac{2\times 29.4}{9.8}} \\\\t=2.44\ s[/tex]

So, the stunt man is in the air for 2.44 seconds.

PLEASE HELP ASAP...TIMED TEST. PLEASE ANSWER WITH AT LEAST A PARAGRAPH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A scientist wants to analyze signals from outer space. Her lab has sensors to detect sound waves, radio waves, and seismic waves. Which of these sensors will provide the best information? Explain your reasoning.

Answers

Answer: I am pretty sure that you should pick radio waves.

Explanation: The scientist should use radio waves. I think this because you can use the radio waves to analyze the signals from outer space. This will work much better than anything there, to analyze it the best possible.

The best I could do.

who songs are better jason derulo or Dababy , roddy ricch

Answers

Answer:

roddy i guess?

Explanation:

Answer:

Dababy and Roddy Ricch. Jason's songs use to be fire years back but now....not so much.

Explanation:

If no work is done, the total energy is not changed. In that situation, if the kinetic energy changes, what must happen to the potential energy?

Answers

Answer:

the potential energy will also change

Explanation:

kinetic energy and potential energy are inversely proportional to each other, so if kinetic energy changes, potential energy will also change..

Opal is making a list of the uses of electromagnetic radiation. Which of the following should Opal NOT include in her list?

A. A man using a microwave to boil water

B. A submarine using sonar to locate a ship

C. A girl using a remote control to change television channels

D. A hospital using an X-ray machine to take a picture of a broken bone

Answers

Answer:

A.

Explanation:

A man using a microwave to boil water

Answer:

d

Explanation:

What is the speed in meters per second of a car that is travelling at 82km/h?

Answers

Divide by 3.6
82/3.6 = 22.8 m/s

Answer:

22.777777777777 m/s

Explanation:

Since 1 kilometer is 1000 meters, then 82 km is 82000 meters. Since one hour is the same as 3600 seconds, then the answer is pretty simple: 82000/3600 or 820/36. That gets you 22.77777 or 22.78. Hope this helps

Which statements accurately describe matter

Answers

I hope it is helpful for you ...

4. Look at the graph above. What information is on the graph and what does it mean? Please help!!!

Answers

Answer:

CO2 increases in the winter

Explanation:

help me, please!!!!!!

Answers

What do you need help with?


An object is lifted upward at a constant speed. The gain in potential energy of the object is due to the
(A) work done on the object
(B) total force applied to the object
(C) weight of the object
(D)change in kinetic energy of the object
PLEASE HELP ME

Answers

Answer:

b

Explanation:

PLEASE HELP
uniform motion and nonuniform motion bibliography​

Answers

Answer:

Abstract

A methodology for designing mechanical non-uniform motion generators is presented. The basic requirements for four-bar and six-bar linkages are established and it is shown how the performance can be evaluated by harmonic analysis applied to the output angular velocity function. A means of creating and searching a library of mechanisms based on normalized output functions is presented. B-spline curves are used as a means of defining a desired performance and it is shown how minimum acceleration can be achieved with continuity in the derivatives. Finally, a means of increasing the quality of motion transmission in the selected mechanisms is given. The techniques are used to synthesize a six-bar linkage.

HELP NEEDED ASAP I'M GIVING BRAINLIEST

1) Select the best answer from the choices below. Light has many properties of waves, but sometimes it also behaves like:


a

A photon

b

Polarized light

c

Ultraviolet rays

d

A stream of particles


2) What type of waves transmit signals in satellite communication?

a
Microwaves
b
X-rays
c
Gamma Rays
d
Radio Waves

3) Cell phones use digital signals to send and receive information. These digital signals travel as what kind of wave?

a
Gamma rays
b
X-rays
c
Microwaves
d
Radio waves

Answers

Answer:

1.

d . A stream of particles

2. D. Radiowave

3. Microwaves

Answer:

1.

d . A stream of particles

2. D. Radiowave

3. Microwaves

Explanation:

Physics please help me.

Answers

Answer:

F = 780 [N]

Explanation:

To solve this problem we must use newton's second law which tells us that the sum of forces on a body must be equal to the product of mass by acceleration

ΣF =m*a

where:

F = force [N] (units of Newtons)

m = mass = 2600 [kg]

a = acceleration = 0.3 [m/s²]

F = 2600*0.3

F = 780 [N]

A periodic wave is a wave that follows a repeating pattern as it propagates through space. That is, the oscillating pattern repeats at regular intervals of time. This repeating motion is also known as periodic motion

Answers

Answer:

Simple harmonic motion

Explanation:

What is simple harmonic motion?

"Simple harmonic motion is a type of motion directed along a straight line, whose acceleration is fixed towards a point  and is proportional to its distance from that point"

An object is said to be in simple harmonic motion if the following occurs:

• It moves in a uniform path.

• A variable force acts on it.

• The magnitude of the force is proportional to the displacement of the mass.

• The force is always opposite in direction to the displacement direction.

• The motion is repetitive and a round trip, back and

  forth, is always made in equal time periods

The number of waves that pass a given point in a second is___.

1- amplitude
2- wavelength
3- frequency
4- wave speed

Answers

Answer:

Frequency

Explanation:

The frequency ( ) of a wave is the number of waves passing a point in a certain time.

A positive ion is called a ____________ and a negative ion is called an

Answers

Answer:

Cation

Explanation:

Best way to remember this one is a CATion is PAWS-itive!

I WILL GIVE BRAINLIEST!!!
The Earth's diameter at the equators is ____ its diameter at the poles.

equal to

less than

greater than

Answers

i believe the answer greater than

3. A ball rolls along the floor with a constant velocity of 12 m/s. How far will it have gone
after 6 seconds?

Answers

Answer:

the answer is 49 ms do yeah

Answer:

72

Explanation:

hehe

Imagine you are running PE class. You run the first 1000 meters in 3 minutes and then get tired and run the last 600 meters in 5 minutes. What was your *average* speed?

Answers

Answer:

Va = 3.77 [m/s]

Explanation:

We know that speed is defined as the relationship between the distance traveled in a given time.

v = L/t

where:

v = speed [m/s]

L = distance = 1000 [m]

t = time = 3 [min] = 180 [s]

Therefore the first speed is:

v = 1000/180

v = 5.55 [m/s]

Now the second velocity:

t = 5 [min] = 300 [s]

v = 600/300

v = 2 [m/s]

The average speed is calculated by the sum of both speeds divided by two.

Va = (5.55 + 2) /2

Va = 3.77 [m/s]

Jupiter's four large moons – Io, Europa, Ganymede, and Castillo – were discovered by Galileo in 1610. Jupiter also has dozens of smaller moons. Jupiter's rocky, volcanically-active moon Io is about the size of Earth's moon (7.22 x 1022 kg). Io has a radius of about 1.82 x 106 m, and the mean distance between Io and Jupiter is 4.22 x 108. If Io's orbit were circular, how many earth days would it take for Io to complete one full revolution around Jupiter? If Io's orbit were circular, what would its orbital speed be?

Answers

Answer:

The orbital speed is approximately 17,325.57 m/s

The number of Earth days it would take lo to complete its orbit is approximately 1.77 days

Explanation:

The given parameters are;

The mass of lo, m ≈ 7.22 × 10²² kg

The radius of lo, R ≈ 1.82 × 10⁶ m

The mean distance between Jupiter and lo = 4.22 × 10⁸ m

The orbital equation is given as follows;

[tex]\dfrac{m \cdot v^2}{R} = \dfrac{G \times M \times m}{R^2}[/tex]

[tex]\therefore v = \sqrt{\dfrac{G \cdot M}{R} } = \sqrt{\dfrac{ 6.67408 \times 10^{-11} \times 1.898 \times 10^{27}}{4.22 \times 10^8} } = 17,325.57 \ m/s[/tex]

The orbital speed ≈ 17,325.57 m/s

The time to complete one orbit = (2 × π × 4.22 × 10⁸)/(17325.57) ≈ 153039.94 s

The time to complete one orbit ≈ 153039.94 s ≈ 1.77 days

The number of Earth days it would take lo to complete its orbit ≈ 1.77 days.

The number of Earth days it would take lo to complete its orbit will be 1.77 days. While the orbital speed will be 17,325.57 m/s.

What is orbital speed?

The speed required to establish an equilibrium between gravity's pull on the satellite and the inertia of the satellite's motion is referred to as orbital speed.

The given data in the problem is;

m is the mass of lo≈ 7.22 × 10²² kg

R is the radius of lo ≈ 1.82 × 10⁶ m

The mean distance between Jupiter and lo = 4.22 × 10⁸ m

The orbital speed is given as;

[tex]\rm V= \sqrt{\frac{GM}{R} } \\\\ \rm V= \sqrt{\frac{6.67 \times 10^{-11} \times 1.898 \times 10^{27}}{4.22 \times 10^8} } \\\\ \rm V=17,325.57 \ m/sec[/tex]

The time to complete one orbit is given as;

[tex]\rm T=\frac{ (2 \times \pi \times 4.22 \times 10^8)}{17325.57 } \\\\ \rm T= 153039.94 \ s[/tex]

In one day  there are 86400 seconds from that calculation the number of days required to complete one orbit will be 1.77 days

Hence the number of Earth days it would take lo to complete its orbit will be 1.77 days. While the orbital speed will be 17,325.57 m/s.

To learn more about the orbital speed refer to the link;

https://brainly.com/question/541239

John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the objects potential energy.

Answers

Answer:

the objects potential energy is 24500 J.

hope this helps <3

Lucia kicks a ball on a level playing field with an initial velocity of 11.3 m/s at an angle of 35° above the horizontal. Find: Time of flight? Horizontal distance traveled? Maximum height?

Answers

Explanation:

Given that,

Initial velocity, u = 11.3 m/s

Angle above the horizontal, [tex]\theta=35^{\circ}[/tex]

Time of flight :

[tex]t=\dfrac{2u\sin\theta}{g}\\\\t=\dfrac{2\times 11.3\times \sin(35)}{9.8}\\\\t=1.32\ s[/tex]

Horizontal distance traveled  is given by :

x = ut

x = 11.3 m/s × 1.32 s

x = 14.916 m

Maximum height is given by :

[tex]H=\dfrac{u^2\sin^2\theta}{2g}\\\\H=\dfrac{(11.3)^2\times \sin^2(35)}{2\times 9.8}\\\\H=2.14\ m[/tex]

Hence, time of flight is 1.32 s, horizontal distance is 14.916 m and maximum height is 2.14 m.

Consider the line graph depicting the motion of two cars. What statement regarding the cars motion is accurate?

Answers

Answer:

Its C

Explanation:

I did it on usatestprep

help pls!!! this is worth 30 points, can someone pls help even if u can only give a few answers it would be helpful.

Answers

1- potential 2-kinetic

Answer:

1. potential 2. kinetic 3. potential 4. kinetic 5. kinetic 6. kinetic 7. kinetic 8. kinetic. potential

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
Fitness Log

What are the advantages of strength exercises? (Site 1)

Answers

Strength training may help you control or lose weight. Strength exercise boosts your metabolism and burns more calories.

What is a strength exercise?

Strength training is essential for increasing flexibility, mobility, performance, and injury prevention. you don't need to spend hours at the gym to see results.

In the comfort of your own home, we'll teach you the fundamentals of strength training. A full-body strength-building workout will take only nine minutes of effort. Grab a towel and prepare to feel powerful.

The advantages of strength exercises will be as follows;

1. Strength training may help you control or lose weight,

2. Strength exercise boosts your metabolism and burns more calories.

3. Improve your quality of life and your capacity to do daily tasks.

4. Strength exercise can also help to keep your joints healthy.

Hence strength training may help you control or lose weight. Strength exercise boosts your metabolism and burns more calories.

To learn more about the strength exercise refer to the link;

https://brainly.com/question/17542743

Answer:

Other one is wrong, this one I got 100% on.

Explanation:

Protection – Protect the wounded area with a support or something similar. this means after an injury has happened, use tools or simple objects to cover and protect the injury so nothing else can harm or get into the injury.

Rest – Do not continue to exercise while your wound is healing. It may take a few weeks or months to recover. You may need crutches or a sling. This means take the time to give your body the rest and relaxation it needs in order to be strong and healthy again.

Ice – Wrap a bag of ice or a bag of frozen peas in a towel and apply it to the wounded area for 15–20 minutes every two to three hours. As it states, ice can help recover an injury or make the swelling and pain go away, this will also help you stay relaxed and calm

Compression – Apply elastic compression bandages to the wounded area during the day to reduce swelling. Compression greatly helps stop any blood or fluid from leaving the body, using the compression method closes an open wound and uses pressure to keep the wound closed

Elevation – Make sure the injured body part is elevated above the height of your heart as much as possible to help reduce swelling. This is also important, elevation helps keep swelling down and help keeps unwanted blood out of the wound

An airplane is flying north. What is the direction of the air friction force acting or
the plane?

Answers

Answer: south

Explanation:

A bugatti chiron travels 116 m/s for 10 seconds.how far did it travel

Answers

Answer:

V=  1,160 m

Explanation:

formula:

            V=  V*  T

remplazamos:

V= 116m /s * 10s

V=  1,160 m

Answer:

V=  1,160 m

Explanation:

The
of an object shows how fast the object is moving at a specific

Answers

Answer:

Speed is a description of how fast an object moves; velocity is how fast and in what direction it moves. In physics, velocity is speed in a given direction. When we say a car travels at 60 km/h, we are specifying its speed.

do you think it’s likely that there are other earth-like planets in our universe?

Answers

Answer:

yes it's a matter of probability

Answer:

Absolutely!

Explanation:

Its almost impossible that we are the only goldilocks planet when there are billions of stars, each of them being suns with planets. Some other planet somewhere must be able to support life, don't you think?

which statement is correct about the effectiveness of carbon dating

Answers

Answer:

b

Explanation:

Statement is correct about the effectiveness of carbon dating is that It only works for organisms that died less than about 60,000 years ago.

What is carbon dating?

Even though the plant or animal stops absorbing when it dies, the radioactive carbon it has stored keeps on degrading. Estimating how much is left over allows one to determine how long something has been dead.

The moss was determined to have been frozen for more than 1,500 years based on carbon dating. Now, if other evolutionary ways of dating are consistent with carbon dating, the scientists may have made a significant discovery. However, when used in isolation, carbon dating is at best unreliable and at worst, blatantly wrong.

Statement is correct about the effectiveness of carbon dating is that It only works for organisms that died less than about 60,000 years ago.

To learn more about carbon dating refer to the link:

brainly.com/question/22184593

 #SPJ2

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