1-kg of carbon dioxide is compressed from 1 MPa and 200C to 3 MPa in a piston-cylinder
device arranged to execute a polytropic process for which PV1.2 = constant. Determine the final
temperature treating the carbon dioxide as (a) an ideal gas and (b) a van der Waals gas

Answers

Answer 1

The temperature of the ideal gas is 264.5°C while the temperature of the van der Waals gas is 260.1°C

What is Adiabatic Process

An adiabatic process is a thermodynamic process in which no heat is transferred to or from the working fluid. This process occurs when the change in the internal energy of the system is equal to the work done. Examples of adiabatic processes include the compression and expansion of gases, the compression of liquids, and the cooling and heating of a gas.

(a) Final temperature (T2) of the ideal gas =

T2 = T1(P2/P1)^((γ-1)/γ)

T2 = 200(3/1)^((1.4-1)/1.4)

T2 = 264.5°C

(b) Final temperature (T2) of the van der Waals gas =

T2 = T1(P2/P1)^((γ-1)/γ) - (a/V2)(P2 + b)

Where, a = 3.567 kJ/molK and b = 0.0427 L/mol

T2 = 200(3/1)^((1.4-1)/1.4) - (3.567/1)(3 + 0.0427)

T2 = 260.1°C

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Related Questions

A piece of a neutral dielectric is put near a very positively charged metal sphere of a Van de Graaff generator.
[The dielectric is put near the generator by being placed in the palm of a insulating
glove and put ~10 cm from the sphere.] What happens to the dielectric? Explain. [An ideal dielectric is
an insulating medium in which the electrons and nucleus are influenced subtly by external influences.]

Answers

The following is the explanation for the given question:

What are Dielectrics?

Dielectrics can generally be described as materials with very low electrical conductivity. It act as an insulator which has no free electrons. When an electric field is applied dielectrics can be easily polarized.

Explanation:

By induction, the negative charges in the neutral dielectric are nearer to the positive sphere, which means by induction negative and positive charges are separated in the dielectric. Negative charges are nearer to the positive metal sphere and positive charges are further from the metal sphere as shown in the below diagram.

Hence, the negative charges are nearer to the positive metal sphere and positive charges are further from the metal sphere.

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Because the neutral dielectric negative charges are closer to the positive sphere through induction, the dielectric negative and positive charges are separated.

Negative charges are closer to the positive metal sphere than positive charges are to it. As a result, positive charges are further away from the positive metal sphere, while negative charges are closer to the positive metal sphere.

How do dielectrics work?

Materials with a very low electrical conductivity are known as dielectrics. It serves as an insulator because it lacks free electrons. Dielectrics can easily become polarized when an electric field is applied.

When a dielectric is placed in an external electric field, what happens?

A dielectric becomes polarized when placed in an electric field. A polarized material has a smaller electric field than the applied field.

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Whose findings have the most in common with Roy Kerr’s discovery of how a noncharged, rotating massive object (like a supermassive black hole) affects its gravitational field?


Schwarzschild’s understanding of the ratio of mass to compression size before an object becomes a black hole


Einstein’s theory of relativity that posits that objects can curve the fabric of space


John Michell’s idea that there was an object with an escape velocity greater than the speed of light


Pierre-Simon de LaPlace’s conclusion that light could never escape a body big enough to have a gravitational force greater than the speed of light

Answers

The individual whose findings have the most in common with Roy Kerr’s discovery of how a noncharged, rotating massive object (like a supermassive black hole) affects its gravitational field is Einstein’s theory of relativity which posits that objects can curve the fabric of space.

Who was Roy Kerr and what was his discovery?

The Kerr geometry, a precise response to the Einstein field equation of general relativity, was discovered by New Zealander mathematician Roy Patrick Kerr. His method simulates the gravitational environment around a huge, rotating, uncharged object, such as a rotating black hole. Before spinning black holes were discovered, his solution to Einstein's equations anticipated their existence.

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How to know physics very well
And to thermo dynamics
First and second law of thermodynamics

Answers

Answer:

Study effectively!

Explanation:

Understand the three laws of thermodynamics. These laws form the foundation of the subject and are essential to understand in order to make progress.

Learn the properties of gases and their relationships to temperature, pressure, and volume. These concepts are central to the study of thermodynamics.

Practice calculating work and heat in various systems. This will help you understand how energy is transferred in thermodynamic processes.

Learn about the different types of thermodynamic systems and their corresponding state variables. This will help you understand how to analyze and model different types of systems.

Familiarize yourself with the concept of entropy and how it relates to the second law of thermodynamics. This will be important for understanding the behavior of systems over time.

By focusing on these specific topics, you should be able to improve your understanding of thermodynamics and become proficient in the subject.

You are driving a 1200.0-kg car at a constant speed of 14 m/s along a straight, level road. As you approach an intersection, the traffic light turns red. you slam in the brakes, the car’s wheels lock, the tires begin skidding, and the car slides to a halt in a distance of 25.0 m. What is the coefficient of kinetic friction between your tires and the road?

Answers

The coefficient of kinetic friction between your tires and the road is determined as 0.4.

What is the acceleration of the car?

The acceleration of the car is determined by applying the following kinematic equation as shown below;

v² = u² - 2as

where;

v is the final velocity of the caru is the initial velocity of the cara is the acceleration of the cars is the distance travelled by the car before stopping

when the car stops, the final velocity of the car = 0

0 = u² - 2as

2as = u²

a = u² / 2s

a = ( 14² ) / ( 2 x 25 )

a = 3.92 m/s²

The coefficient of kinetic friction is calculated by applying the following equations;

μ = Ff / W

where;

Ff is the force of frictionW is the weight of the car

At a constant speed, applied force = force of friction

μ = Ff / W

μ = ( ma ) / ( mg )

μ = a / g

where;

g is acceleration due to gravity

μ = 3.92 / 9.8

μ = 0.4

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Several motorboats with the same mass are used in an experiment. the forces of the different motors versus their accelerations are graphed. what is the y-intercept of this graph?

Answers

The y-intercept of a graph is the point at which the graph crosses the y-axis. In this case, the y-intercept of the graph showing the relationship between the motor's force and the boat's acceleration would represent the force required to produce zero acceleration.

In this scenario of the boats being used in an experiment, if the boats have the same mass and the motors are producing force, and the forces are graphed against the acceleration, this will give us a straight line, and the y-intercept of this graph will be the force required to keep the boat at a zero acceleration, this force is known as "friction force" which includes the friction force of the water and the friction force of the bearings in the motor and other mechanical parts in the boats and motor.

It's worth noting that, in practice, getting the y-intercept in this experiment might be very hard as it's very rare to get zero acceleration. Still, one can aim for the lowest possible acceleration, and the force measured can be considered as an approximation for the friction force.

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while pushing a crate with a constant force is the crate traveling at a constant speed, increasing speed, or decreasing speed?

Answers

Due to the friction's opposing force, the crate travels at a constant speed; otherwise, its speed would increase.

When the individual stops pushing, what happens to the crate's speed?

The crate continues to move when the worker stops pushing, albeit more slowly. However, since the floor and the bottom of the container are still moving past one another, a friction force (frict) directed against the motion of the crate will still exist.

What drives the crate's acceleration beside the truck?

A flatbed truck's bed has a large, hefty crate on it. The crate accelerates as well because it is connected to the truck and continues to move forward as it does. The crate's acceleration is due to what force.

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Immersion rods for heating liquids are made up of metallic substances.

Answers

Metals are good conductors of both heat and electricity, immersion rods are constructed of metallic materials. In order to heat the liquid, electricity is transferred through the immersion rod, which also needs to be a good conductor of electricity.

What is Metallic?

The set of chemical characteristics connected to the elements included in the periodic table's metals category is referred to as having a metallic character. An element's capacity to lose its outer valence electrons determines whether or not it has metallic properties. Thermal and electrical conductivity, metallic brilliance, hardness, ductility, and malleability are a few examples of characteristics that are associated with the metallic character. Francium is the most "metallic" element, followed by cesium. Generally speaking, the metallic character grows as you move toward the periodic table's lower right corner.

What is Electricity?

Electricity is a phenomenon involving electrical charges, either moving or fixed. A fundamental characteristic of matter, electric charge is carried by elementary particles. The electron, a particle involved in electricity, has a charge that is typically referred to as negative. The accumulation or motion of numerous electrons is what causes electricity's different manifestations.

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When did modern chemistry start

Answers

Many chemists believe chemistry became a proper science in the eighteenth century. The investigation of air by Antoine Lavoisier (France), the discovery of oxygen by Joseph Priestly (England), and the new scientific language of chemistry, all played a part.

A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite of the same mass falling toward the earth, collides with the satellite completely elastically. The speed of the satellite and the meteorite just before collision are the same The subsequent motion of the combined body will be
a) in circular orbit of different radius
b) in a circular orbit of radius R
c) in an elliptical orbit
d) such that it escapes to infinity

Answers

According to the previous statement, the subsequent motion of the combined body will be in an elliptical orbit. Correct answer: letter C.

When two objects of the same mass collide in a completely elastic manner, their combined motion will be a combination of their original motions. In this case, the satellite and the meteorite had the same velocity just before the collision, so the combined motion will be an elliptical orbit.

The law of conservation of momentum states that the total momentum of a system remains constant. This means that in a collision, the total momentum of the system after the collision will be equal to the total momentum of the system before the collision, or:

Momentum Before Collision = Momentum After Collision

In the case of two objects of the same mass colliding completely elastically, the momentum of an object before the collision is equal to the mass of the object multiplied by its velocity. Therefore, the total momentum before the collision is equal to twice the momentum of one object before the collision.

After the collision, the total momentum of the combined body will be equal to the total momentum of the system before the collision, which is equal to twice the momentum of one object before the collision. This means that the combined body will move in an elliptical orbit with the same speed and direction as the original objects before the collision.

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If Janine is a typical middle-aged woman, she is likely to be concerned about all of the following things except for one. Identify the option that is generally not a concern for the average middle-aged woman ?

Answers

For a typical middle-aged woman, there are certain priorities for them such as job stability, kids, and so on, but one factor that is generally not a concern for the average middle-aged woman is how to train for the Olympics

Who is a middle-aged woman?

Midlife, the stage of a woman's life between childhood and elder maturity, has been called a time of transition. Women between the ages of 40 and 65 have been the focus of midlife research because they often go through a number of social, psychological, and biological shifts during this time.

Hence, it can be seen that while there are genuine concerns for a middle-aged woman, the answer choice that is generally not a concern for the average middle-aged woman is to become an Olympian.

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If Janine is a typical middle-aged woman, she is likely to be concerned about all of the following things except for one. Identify the option that is generally not a concern for the average middle-aged woman ?

train for the Olympics

have kids

raise a family

Two runners race each other around a circular track. The track is 500 meters long and 159 m across (the diameter of the circle). Runner A trips at the half- way mark and doesn't get up Runner B finishes the race. Is there a difference? Explain with a diagram: Which runner has the greater displacement? Which ran the greatest distance?is there a difference?explain with a diagram

Answers

The higher displacement [highest increase in bare ground from the start position] is caused by Runner A. Runner B traveled the furthest, covering the entire track.

Simply put, what is displacement?

The verb "to displace" refers to the movement or removal of anything. The location of an object is changed, which is the definition of displacement.

What is a displacement example?

Change in quite an object's location in relation to an image plane is known as displacement. For instance, a billiards ball travels from one spot to another because a player strikes it. It is alleged to have moved. A vector quantity with both speed and phase is displacement.

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