What is the magnitude of force in coulomb's law when one of the charge is double

Answers

Answer 1

In Coulomb's law, if one of the charges is doubled while the other remains the same, the magnitude of the force will also double, since the force is directly proportional to the product of the charges.

Coulomb's law

Coulomb's Law describes the electrostatic force between two charged particles. The force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, Coulomb's Law can be expressed as:

F = k * (q1 * q2) / r^2

where F is the force between the charges, q1 and q2 are the magnitudes of the charges, r is the distance between them, and k is the Coulomb constant.

If one of the charges is doubled while the other remains the same, the magnitude of the force will also double, since the force is directly proportional to the product of the charges. Therefore, the new equation for the magnitude of the force in this scenario would be:

F' = k * (2q * q) / r^2 = 2 * (k * (q * q) / r^2) = 2F

where F' is the new force and F is the original force. So, when one of the charges is double, the magnitude of the force in Coulomb's Law will also double.

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Related Questions

A 1 kg rock is sitting at the edge of a cliff 100 meters high. What is the rock's gravitational potential energy?

Answers

Answer:

000.83

Explanation:

i dont know how to explain it bt i did something on paper for it

The acceleration of a train that increases its velocity from 10.0 m/s to 15.0 m/s in 2.90 seconds is _____ m/s^2.

Answers

In 2.90 seconds, a train can accelerate from 10.0 m/s to 15.0 m/s, and this train accelerates at a rate of 1.94 ms2/m/s2.

For what reason does a train's acceleration diminish?

At the start of the trip, the train picks up speed as it accelerates. In the middle of the journey, it remains the same (where there is no acceleration). When the train comes to a stop, it gets smaller as it slows down.

Distance traveled by the train as a percentage of time is its speed. The time it takes for two trains to cross each other is determined by the length of the trains, say lengths a and b, and the speeds of the trains, x and y, respectively.

In 2.90 seconds, a train can accelerate from 10.0 m/s to 15.0 m/s, and this train accelerates at a rate of 1.94 ms2/m/s2.          

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The figure below shows a ball resting on a frictionless track at position A.

The ball has a mass of 20 kg and is released from position A, the acceleration due to gravity is 9.8 m/s. How much kinetic energy will the ball have at position B?

 The figure below shows a ball resting on a frictionless track at position A.The ball has a mass of 20

Answers

To find the kinetic energy at position B, we need to know the height or the velocity at position B. Without this information, we cannot calculate the exact value of the kinetic energy.

To determine the kinetic energy of the ball at position B, we need to consider the m conservation of Mechanical energy. Since the ball is released from position A, we can assume that there is no initial kinetic energy (velocity is zero), and the total mechanical energy at position A is equal to the potential energy.

The potential energy at position A can be calculated using the formula:

Potential energy at A = mass * gravitational acceleration * height

Potential energy at A = 20 kg * 9.8 m/s² * height

Now, at position B, all the potential energy is converted into kinetic energy. The kinetic energy at position B is given by the formula:

Kinetic energy at B = 1/2 * mass * velocity²

Since the ball is released from rest, the velocity at position B can be determined using the conservation of mechanical energy:

Potential energy at A = Kinetic energy at B

20 kg * 9.8 m/s² * height = 1/2 * 20 kg * velocity²

Simplifying the equation, we get:

9.8 m/s² * height = 1/2 * velocity²

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A boy slides a book across the floor, using a force of 5 N over a distance of 2
m. What is the kinetic energy of the book after he slides it? Assume there is
no friction.
A. 5 J
B. 10 J
C. 20 J
D. 2.5 J
SUBMIT

Answers

The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.

How to determine the kinetic energy of an object?

The work-energy theorem states that "the work done on an object is the change in its kinetic energy".

Hence;

Kinetic energy = work done

Note that: work-done is expressed as:

Work done = f × d

Where f is force applied and d is distance traveled.

Given that:

Force applied f = 5 newton

Distance d = 2 meters

Work done = ?

Plug these values into the above formula and solve for the workdone.

Work done = f × d

Work done = 5N × 2m

Work done = 10Nm

Work done = 10 Joules

Therefore, the kinetic energy is 10 Joules.

Option B) 10 J is the correct answer.

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Two velocity vectors are added: one of magnitude 2.0 m/s and one of magnitude 4.0 m/s. Not knowing the respective directions, we can say that the magnitude of the sum of the vectors will be

Answers

Answer:

4.47

Explanation:

Given data

vector 1 = 2m/s

vector 2= 4 m/s

The expression for the magnitude of two vectors is

|a| = √v1^2+ v2^2

substitute

|a| = √2^2+ 4^2

|a| = √4+ 16

|a| = √20

|a| = 4.47

Hence the magnitude of the two vectors is 4.47

At the end of the _____ era matter and antimatter annihilate each other.  Because of a small imbalance in the ratio, the universe is left with only ______.​

Answers

At the end of the Electroweak era, matter and antimatter annihilate each other. Because of a small imbalance in the ratio, the universe is left with only matter.

What is baryogenesis process?

The baryogenesis process refers to the hypothetical mechanism or mechanisms that generated the observed baryon asymmetry in the universe which refers to the fact that there is much more matter than antimatter

If the universe were perfectly symmetric between matter and antimatter the particles and antiparticles would have annihilated each other completely leaving behind only radiation.

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what is the difference between solenoid and current loop ?​

Answers

Answer:

jjjrjejejejejenjejeje

You are locked inside the train car and want to get it moving to draw attention to your plight. There is effectively no friction between the axle and the car, and the train is on horizontal tracks. To try and get the car moving with respect to the ground, you run and slam with all your force against the wall at the front. What happens with the car after you slammed against the wall of the car

Answers

Answer:

the car movves briefly as you ran, however, it stops again after you ran in to the wall

Explanation:

Our net total linear momentum was zero at the time both the train and the boy was at rest. As there is no pressure, the train and boy system's linear momentum can be conserved provided no external forces are working on it that might shift its momentum.

If the boy runs inside of the train with a velocity V1 in the forward direction, the train would have a velocity V2 in the reverse direction to V1 to conserve the system's momentum, resulting in Final momentum.

i.e

\(m \times V_1 + M \times V_2 = 0\)  --- (1)

here;

m = mass of the boy

M = mass of the train

Thus;

\(m \times V_1 =- M \times V_2\) --- (2)

As the boy crashes into the train's wall, a pair of equal and opposing force F intervene on both the train and the boy. This force F causes the boy traveling with momentum m× V1 to come to a halt; its momentum remains zero. As the train moves with about the same momentum as the boy as seen in (2) and is subjected to the same force F, its momentum will be diminished to zero, and it will come to a halt.

Harold is using what he knows about cause-and-effect relationships to write a paper explaining cloud shape. How could he describe cause and effect in his paper?

Answers

Harold could use cause-and-effect relationships to describe the formation of different cloud shapes in his paper by explaining how certain environmental factors cause specific cloud formations to occur by explaining the changes in temperature, humidity, and air pressure.

Explain the formation of clouds?

Clouds form when warm, moist air rises and cools, causing the water vapor to condense into tiny water droplets or ice crystals. These droplets or crystals then cluster together to form visible clouds in the atmosphere.

To explain the cause-and-effect relationships, Harold could use phrases like "as a result of," "because of," "due to," and "resulting in." For example, he could write, "When warm, moist air rises and cools, it causes water droplets to condense into cumulus clouds," or "High-altitude cirrus clouds are formed due to the presence of ice crystals in the atmosphere."

By using cause-and-effect relationships in his paper, Harold can help readers understand how and why different types of clouds form, and how they are influenced by various environmental factors.

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Can blind people dream?
Just wondering because I've always wanted to know.

Answers

Answer:

yea yes they can they lose their retina but they can dream

The driver of a car slams on the brakes, causing the car to slow down at a rate of 17.0ft/s2 as the car skids 172ft to a stop
How long does the car take to stop?
What was the car's initial speed?

Answers

The time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.

Initial speed of the car

The initial speed of the car is calculated as follows;

v² = u² + 2as

where;

v is the final velocity, when the car stops, v = 0u is the initial velocitya is the accelerations is the distance traveled

0 = u² + 2as

0 = u² + 2(-17)(172)

0 = u² - 5858

u² = 5848

u = 76.47 ft/s

Time of motion of the car

v = u + at

0 = 76.47 - 17t

17t = 76.47

t = 4.5 seconds

Thus, the time taken for the car to stop is 4.5 seconds and the initial speed of the car is 76.47 ft/s.

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Calculate the heat energy required to convert 4kg of ice at -25℃, to stem, at 100℃, given the specific heat capacity of water is 4200J/(kg℃), , the specific heat capacity of ice is 2100J/(kg℃), the specific latent heat of vaporization of water is 2300 000J/kg.

Answers

Answer:

1,840,000 J

Explanation:

The energy required for a particular change in state is given by the specific latent heat. Specific latent heat is the amount of energy required to change the state of 1 ... of ice into 1 kg of water at its melting point of 0°C. The same amount of energy ... stored or released as the temperature of a system changes can be calculated.

You exert a 138 N push the leftmost of two identical blocks of mass 244 g connected by a spring of stiffness 605 kg/s2. After pushing the block a distance 15 cm, you release it; by this time the rightmost block has moved a distance 5 cm. (a) What is the energy in the oscillations between the blocks

Answers

Answer:

the energy in the oscillations between the blocks is 3.025 J

Explanation:

Given the data in the question;

Force f = 138 N

stiffness of spring k = 605 kg/s²

mass of block = 202 g = 0.202 kg

pushing the block a distance 15 cm, the rightmost block has moved a distance 5 cm

i.e

x₁ = 15 cm

x₂ = 5cm

the energy in the oscillations between the blocks will be;

E\(_A\) = E\(_B\) = \(\frac{1}{2}\)k( Δx )²

we substitute

= \(\frac{1}{2}\) × k( 15 - 5 )² × 10⁻⁴

= \(\frac{1}{2}\) × 605 × ( 10 )² × 10⁻⁴

= \(\frac{1}{2}\) × 605 × 100 × 10⁻⁴

= 3.025 J

Therefore, the energy in the oscillations between the blocks is 3.025 J

An object of height 5 cm is kept in front of a
lens. An inverted image of height 5 is formed. identity the lens and position of the
object and image.

Answers

Answer:

The type of lens involved is a convex lens and the object is positioned at the center of the curvature of the convex lens.

According to the question, a real, inverted, and same-sized image of the object is formed.

A concave lens is a diverging lens and always forms virtual images. But convex lenses are converging lenses and are the only type of lens that produce real and inverted images of the corresponding objects.

When an object is placed at the center of the curvature of a convex lens, its corresponding image is formed on the opposite side of the convex lens. The image formed is real and inverted.

The distance of the image from the lens is equal to the distance of the object from the lens.

For a convex lens, the distance of the center of curvature from the lens is double the focal length of the lens.

That's why the convex lens and center of curvature are the correct answer to this question.

Explanation:

A boat moves through the water with two forces acting on it. One is a 1,800-N forward push by the water on the propeller, and the other is a 1,200-N resistive force due to the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.25
m/s 2

(b) If it starts from rest, how far will the boat move in 20.0 s?
m

(c) What will its velocity be at the end of that time?
m/s

Answers

(a)The acceleration of the 1,400-kg boat will be 0.425 m/sec²

(b) If it starts from rest, the distance through which the boat moves in 20.0 s will be 85 m.

(c)Velocity at the end of that time will be 8.5 m/sec.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

Given data;

Forwad force acting on the boat,v₁ = 1,800-N

Resistive force acting on the boat,v₂ = 1,200-N

The acceleration of the boat,a

Mass of boat,m = 1,400-kg

Initial velocity of boat,u= 0 m/sec

Distance travelled by boat,S = ?

Time for the boat travels,t = 20.0 s

Final velocity,V = ? m/sec

The net force on the boat;

F = F₁ - F₂

F = 1800 N - 1200 N

F = 600 N

From the defination of force;

F= ma

a = F / m

a = 600 N / 1400 kg

a = 0.425 m/sec²

b)

The distance through which the boat moves is 20.0 s;

\(\rm x_f = x_ 0 + v_0 t + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}at^2 \\\\ x_f = 0+0 + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}\times 0.425 \times (20 )^ 2 \\\\ x_f = 85 \ m\)

c)

The velocity at the end of that time is found as;

\(\rm v_f = v_ 0 + at \\\\ v_f =- 0+ at \\\\ v_f = 8.5\) m/sec

Hence the acceleration of the boat, the distance through which the boat moves in 20.0 s, and velocity at the end of that time will be 0.425 m/sec²,85 m, and 8.5 m/sec.

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The best graph to use if I want to compare the price of six different cars would be a

Answers

The best graph to use if I want to compare the price of six different cars would be a bar graph

A bar graph is a graphical representation of the given data . It uses bars that extend to different heights to depict value .

Bar graphs are used to compare different type of things between different groups or to see changes over a period of time. Hence , bar graph will fits the best if one want to compare the price of six different cars .

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Please help I’m kinda in a rush to get these done

Please help Im kinda in a rush to get these done

Answers

In beta- decay, a neutron becomes a proton, leaving an atom of 24Mg

(magnesium, which has 12 protons compared to 11 for sodium)

4. I wonder if the amount of homework I complete has an effect on my science test scores. a. Question: b. Hypothesis + Prediction: c. Independent Variable (IV): d. Dependent Variable (DV): e. Controlling Variable (CV): f. Experiment:

Answers

Answer:

a. Question

Explanation:

The statement above is more of a question rather than a hypothesis or the other options. Consider, the statement has no direct initial assumption or hint of personally researching for answers.

In other words, the speaker could be asking another individual his opinion whether the amount of homework completed has an effect on science test scores.

Which of the following relationships is correct?
2 points
1 N = 1 kg
1 N = 1 kg·m
1 N = 1 kg·m/s
1 N = 1 kg·m/s2

Answers

1 N = 1 kg•m is the answer

An RL circuit has L=5 H and R = 22.
a) How long would it take, following the removal of the battery, for the magnetic energy to decay to 13% of its maximum value?
b) What is the voltage across the inductor at that instant?

Answers

a) , it would take approximately 0.4638 seconds for the magnetic energy to decay to 13% of its maximum value.. b)  the voltage across the inductor at the instant when the magnetic energy has decayed to 13% of its maximum value is 6.4 times the initial current in the circuit.

An RL circuit consists of a resistor (R) and an inductor (L) connected in series. When a battery is connected to the circuit, the inductor stores magnetic energy, which creates a magnetic field. When the battery is removed, the magnetic energy in the inductor begins to decay, and the magnetic field collapses, inducing a voltage across the inductor.

a) The time constant (τ) of an RL circuit is given by the formula:

τ = L/R

where L is the inductance in henries, and R is the resistance in ohms. The time constant represents the time required for the magnetic energy to decay to approximately 36.8% of its maximum value.

In this case, L = 5 H and R = 22 ohms. Therefore, the time constant of the circuit is:

τ = L/R = 5 H / 22 ohms = 0.2273 seconds

To calculate the time required for the magnetic energy to decay to 13% of its maximum value, we can use the formula:

t = -ln(0.13) * τ

where ln is the natural logarithm. Plugging in the values, we get:

t = -ln(0.13) * 0.2273 seconds

t = 0.533 seconds

Therefore, it would take approximately 0.533 seconds for the magnetic energy in the inductor to decay to 13% of its maximum value.

b) To find the voltage across the inductor at that instant, we can use the formula:

V = L * di/dt

where V is the voltage across the inductor, L is the inductance, and di/dt is the rate of change of the current in the circuit.

At the instant when the magnetic energy in the inductor has decayed to 13% of its maximum value, the current in the circuit is given by:

I = I0 * e^(-t/τ)

where I0 is the initial current, and e is the mathematical constant approximately equal to 2.71828. Plugging in the values, we get:

I = I0 * e^(-0.533/0.2273)

I = 0.292 * I0

Therefore, the rate of change of current (di/dt) at that instant is given by:

di/dt = I / τ = (0.292 * I0) / 0.2273

Now, we can calculate the voltage across the inductor:

V = L * di/dt = 5 H * (0.292 * I0 / 0.2273)

V = 6.4 * I0 volts

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What are the metric units of length?​

Answers

inches, feet, meters

If the half life of an isotope is 20 years, how much of the original amount will
remain after 20 years has passed?

Answers

Answer:

Half

Explanation:

If the half life of an isotope is 20 years, then half of the original amount will  remain after 20 years has passed.

That's what "half-life" means.

Similarly, after ANOTHER 20 years, 1\4 of the original amount remains.

And after ANOTHER 20 years, 1\8 of the original amount remains.

And after ANOTHER 20 years, 1\16 of the original amount remains.

And after ANOTHER 20 years, 1\32 of the original amount remains.

And after ANOTHER 20 years, 1\64 of the original amount remains.

And after ANOTHER 20 years, 1\128 of the original amount remains.

Which statement is true about the theory of plate tectonics and the theory of continental drift?

A) The theory of plate tectonics proves the theory of continental drift completely wrong.

B) The theory of plate tectonics tells exactly where the continents were before Pangaea divided.

C) The theory of plate tectonics gives the method by which continents can move as part of plates.

D) The theory of plate tectonics does not explain how continental movements could occur.

Answers

The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .

What is theory of plate tectonics and the theory of continental drift ?

According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.

The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.

According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.

Therefore, option C is correct.

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4.

a) A loaded box car has a total mass of 6.80 x 10 kg. If the train is travelling at a speed
of 23.7 m/s, what is the mechanical kinetic energy of the box car?




b) If a family car has a mass of 1237 kg, how fast would it have to go to have the same
mechanical kinetic energy as the box car in part a)?

GIVING BRAINLIEST

Answers

Mechanical kinetic energy is the energy of an object due to its motion.

a) Mechanical kinetic energy = (1/2)*mass*(velocity)^2

Mechanical kinetic energy = (1/2)*(6.80 x 10^3 kg)*(23.7 m/s)^2

Mechanical kinetic energy = 3.27 x 10^7 J

b) The mechanical kinetic energy of a moving object can be calculated using the following formula:

KE = 0.5 * m * v²,

where m is the mass of the object and v is the velocity.

In this case, we know the mass of the family car (1237 kg) and the mechanical kinetic energy of the box car (50444 J). To calculate the speed of the family car, we can rearrange the formula to solve for v:

v = √(2*KE/m)

v = √(2*50444/1237)

v = 42.62 m/s

What is Mechanical kinetic energy?

Mechanical kinetic energy is the energy associated with the movement of a body or object. It is also known as the energy of motion and is equal to one half of the mass of the object multiplied by the square of its velocity.

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A ball is thrown vertically up from the edge of a cliff with a speed of 8 m/s, how high is
the cliff, if it took 16.4 s for the ball to reach the ground?

Answers

Explanation:

s=d/t

d=s×t

d=8×16.4

d=131.2

distance is 131.2m.

Maribel has an iron rod around which she wraps copper wire. She places the device on a table near a compass. What will happen to the compass if she sends current through the copper wire?

A.The needle of the compass will point at a right angle to the device

B. The needle of the compass will point toward the device

C. The needle of the compass will show no effect

D.The needle of the compass will spin in circles

Answers

If Maribel sends current through the copper wire in the iron rod, the needle of the compass will point toward the device.

What is electric current?

Electric current is the rate of flow of electric charge.

According to this question, Maribel has an iron rod around which she wraps copper wire. She places the device on a table near a compass.

If Maribel sends current through the copper wire in the iron rod, the needle of the compass will point toward the device because the metallic needle is attracted in the direction of the current.

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How might a quota on foreign cars affect US economy?

Answers

Answer:

The numerical limits imposed on imported goods through quotas ultimately leads to higher prices paid by consumers. Essentially, the import quota prevents or limits domestic consumers from buying imported goods. The import quota reduces the supply of imports.

Explanation:

If the air inside a balloon exerts a force of 1 N on an area of 0.5 m^2 what is the pressure inside the balloon

Answers

Answer:

2 Pascal (Pa)

Explanation:

Pressure is defined as the force acting per unit area. Mathematically, it is expressed as:

Pressure (P) = Force (F) / Area (A)

Given:

Force exerted by the air inside the balloon (F) = 1 N

Area of the balloon (A) = 0.5 m^2

Plugging in the given values into the formula for pressure, we get:

P = F / A

P = 1 N / 0.5 m^2

Using basic arithmetic, we can calculate the pressure inside the balloon:

P = 2 N/m^2

So, the pressure inside the balloon is 2 N/m^2, which is also commonly referred to as 2 Pascal (Pa) since 1 Pascal is equal to 1 N/m^2.

I need help

Come up with a hypothetical experiment and explain how you would set it up.

Tell me:

What observation/phenomenon is your experiment about?

What is your Hypothesis? (What do you think the results will be?)

How would you conduct your experiment?

Remember to consider how you would collect your sample, the need for a control group, and the need to avoid serious connections and isolate relevant data.

In this scenario, you have unlimited resources and no ethical restrictions. You can turn this in person or online.

Answers

The observation or phenomenon that is  said to be my experiment about is: The long time effect of plastic waste in the environment.

What is the Hypothesis?

H0 = There is no long time effect of plastic waste in the environment.

Ha = There is a  long time effect of plastic waste in the environment.

How would you conduct your experiment?

Samples will be collected from places where there are different kinds of plastic waste. It will be done in several location. Soil and chemical analysis will be done and data will be extracted. The control will be an environment that has no plastic waste.

Data will be collected on some types of Plastics such as:

Polyethylene  (PE)  Polyethylene  terephthalate  (PET) Polypropylene  (PP)  Polystyrene  (PS) Polyvinylchloride (PVC)

Therefore, The observation or phenomenon that is  said to be my experiment about is: The long time effect of plastic waste in the environment.

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n moles of CO2 gas (T1, V1) obey a van der Waals equation of state are contained in an insulated piston-cylinder arrangement. A reversible expansion of the gas is carried out until the volume become 2V1.
[CV.m = 28.80 J mol−1K−1, a = 3.610 atm. dm6. mol−2, b = 4.29 x 10−2 dm3. mol−1]
(a) Find the final temperature of gas as a function of n, . , T1, V1 and the van
der Waals parameter a and b.
(b) If two moles of CO2 gas involved and T1 = 350K, V1 = 40L, compute final
temperature of the gas.
(c) Find work done and internal energy of the gas.

Answers

Answer:

one or two three or four

Explanation:

animals of CO2 gas find the final temperature of gas

The final temperature of the 2 moles of gas has been 0.0014 K.

The gas has been assumed to be the ideal gas. The moles of the has been n. According to the ideal gas equation:

(a) PV= nRT.

For the reversible expansion of 1 mole of gas:

P = \(\rm \dfrac{RT}{V - b}\;\times\;\dfrac{a}{V^2}\)

For n moles of gas, the reversible expansion will be:

P = \(\rm \dfrac{nRT}{V - b}\;\times\;\dfrac{a}{V^2}\)

The final temperature of the reversible expansion has been:

\(\rm T_f\;=\;T_i\;+\;\dfrac{an^2\;[\frac{1}{Vf\;-\;\frac{1}{Vi} } ]}{Cv}\)

(B) The ideal gas equation can be given as:

\(\rm \dfrac{P1V1}{nT1}\;=\; \dfrac{P2V2}{nT2}\)

Substituting the values:

\(\rm \dfrac{40}{2\;\times\;350}\;=\;\dfrac{80}{2\;\times\;T2}\)

T2 = 0.0014 K.

The final temperature of the 2 moles of gas has been 0.0014 K.

(c) The work done can be given by:

W = nRT In\(\rm \dfrac{V2}{V1}\)

The internal energy of the system has been given by:

\(\Delta\)U = \(\rm C_v\)[\(\rm T_f\;-\;T_i\)] - a\(\rm n^2\) \(\rm [\dfrac{1}{Vf}\;-\;\dfrac{1}{Vi} ]\)

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