RyL61FbBBVpMt

Internal energy. Heat. Changes in internal energy caused by work and heat flow

Source: licencja: CC 0.

Sposoby zmiany energii wewnętrznej ciała

You will learn
  • to define the notion of heatheatheat in English,

  • to the two ways of changing the internal energyinternal energyinternal energy.

R2Z9180iVx4kq
nagranie abstraktu

Introductory questions.

  1. What is matter built of?

  2. What types of energy do you know?

  3. What kind of energy do the particles have? Can you change it? How?

  4. How could we change the temperature of, for example, the aluminum rod?

  5. Is there any relationship between the bar's temperature and the energy of molecules?

RywOKrpd62xDM
nagranie abstraktu
Conclusion

Temperature is the size determining the state of the body due to the kinetic energy of the moving particles of the body. The greater the kinetic energy of moving body molecules, the higher the body temperature.

RFvEii0HcKk501
nagranie abstraktu
Internal energy
Definition: Internal energy

Internal energyinternal energyInternal energy is the sum of kinetic and potential energies of all particles (atoms or molecules) of the substance.

RXs5lQYDOevpf
nagranie abstraktu

The concept of internal energy is closely related to the potential and kinetic energy of all body molecules.

The kinetic energy of molecules is related to the speed of molecules and the potential energy with interaction between them.

The kinetic energy of molecules changes, for example, when the body temperature changes, and the potential energy of molecules changes when the state of body changes.

The unit of internal energy is joule [J].

R1MCAU5ACzXUZ1
nagranie abstraktu
It follows that the value of internal energyinternal energyinternal energy depends on three factors.
  • The number of atoms and molecules which are part of this body – the more molecules, the greater the number of components of the sum.

  • Body temperature - higher temperature means a higher value of the average kinetic energy of the particles, so the total energy of the system is greater.

  • The type of substance and its state of matterstate of matterstate of matter - the amount of potential energy which comes from intermolecular interactions changes with the state of matter of the substance and is different for different substances. This will be explained comprehensively in the subsection devoted to the processes of changing the states of matter.

R1P7bg5LP3bTW
nagranie abstraktu

The following examples explain the above statements.

  • At the same constant temperature, a bucket of water has more internal energyinternal energyinternal energy than a glass of water, because in the bucket there are many more particles.

  • A glass of hot tea has more internal energyinternal energyinternal energy than the same amount of cold tea, because the particles of hot liquid have higher average kinetic energy. In both glasses there is the same number of particles.

  • A glass of water at 0°C has more internal energyinternal energyinternal energy than the ice which was formed of the water at the same temperature.

The internal energyinternal energyinternal energy of the body can be changed in two ways.

Examples of changes in internal energy through work:

  • putting your hands on you (internal energy grows),

  • pump the bicycle wheel using a pump (internal energy increases, the pump feels hot),

  • hammering a metal sheet with a hammer (internal energy is growing, the metal sheet is hot),

  • sprays aerosol (internal energy decreases, the container feels cold).

Examples of changes in internal energy through heat exchange:

  • cooling of dishes in the refrigerator (internal energy of the food decreases),

  • water heating in the kettle (internal energy of water increases),

  • freezing of water on the lake (internal energy of the water decreases and the surrounding area grows),

  • water evaporation from the human skin after leaving the bath - we feel the coolness (the internal energy of the water decreases and the surroundings grow).

Heat
Definition: Heat

HeatheatHeat is the part of the internal energyinternal energyinternal energy which the body with a higher temperature transmits to the body with a lower temperature.

The mechanism of internal energyinternal energyinternal energy transfer due to the temperature difference is the thermal flow of energy.

Joule is a unit of heatheatheat and is used for all other kinds of energy.

R18IqXC0vpwmO1
nagranie abstraktu

Thermal flow of energy is possible only between bodies of different temperatures. It always takes place from the body with a higher temperature to the body with the lower temperature and stops after the temperatures have equalised.

The first law of thermodynamicsthermodynamicsthermodynamics

The change in the internal energyinternal energyinternal energy of the body/body system (the body system can be e.g. water in a glass, or water in a bucket, etc.) is always equal to the sum of work done on the body (or by the body) and the heatheatheat supplied to the body (given out by the body):

delta U równa się W dodać Q
delta U równa się W dodać Q

where:
ΔU - the change of the internal energyinternal energyinternal energy of the body,
W - the work done on the system (by system),
Q - the heatheatheat supplied to the system (rendered by the system).

R14pwHihBMM4a
nagranie abstraktu

In order to avoid misunderstandings, the following agreement was introduced to differentiate the work done on the body from the work done by the system.

  • W – the work done on the system is always positive (W > 0).

  • W – the work done by the system is always negative (W < 0).

There is also a similar agreement which is related to heat exchangeheat exchangeheat exchange with the environment.

  • Q – the heatheatheat supplied to the system is always positive (Q > 0).

  • Q – the heatheatheat emitted by the system is always negative (Q < 0).

If we apply the above findings, then ΔU < 0 means the decrease of the internal energy of the body, and thus the decrease of its temperature. By contrast, ΔU > 0 means an increase in the internal energy of the body, and thus an increase in body temperature.

RPoCUSuAfuXfc
nagranie abstraktu

If we skillfully use certain processes, we can build a thermal engine, which converts part of the heatheatheat taken from a heater warmed to high temperature into usable work.

R1R80Y9RAWBuL
Ilustracja interaktywna przedstawia schematycznie zasadę działania silnika cieplnego. Silnik pobiera energię cieplną z grzejnika o wyższej temperaturze i z części produkuje energię elektryczną lub mechaniczną, a część oddaje do chłodnicy, czyli zbiornika o niższej temperaturze. Na górze prostokąt opisany T z indeksem dolnym 1 oznaczony numerem 3. Z środka jego dolnego boku narysowano strzałkę pionową skierowaną w dół opisaną Q z indeksem dolnym 1 oznaczoną numerem 1. Grot strzałki dotyka okręgu opisanego C. Na dole z okręgu narysowano strzałkę pionową skierowaną w dół opisaną Q z indeksem dolnym 2 oznaczoną numerem 2. Grot strzałki dotyka górnego boku prostokąta opisanego T z indeksem dolnym 2 oznaczonego numerem 5. Z okręgu narysowano strzałkę poziomą skierowaną w prawo opisaną W oznaczoną numerem 4. Na ilustracji widoczne są numery, a na nich podpisy. 1. heat taken from a heater warmed to high temperature {audio}, 2. heat transferred to a cooler with low temperature {audio}, 3. heater temperature {audio}, 4. useful work done by the engine {audio}, 5. cooler temperature {audio}.
The diagram of heat engine operation
Source: GroMar, licencja: CC BY 3.0.
Task 1
R1c3zeDZIHO0s
nagranie abstraktu

A glass and a liter pot were filled to the full with water at the same temperature. Is the internal energy of water in these vessels the same? Justify the answer.

Task 2
R1KbT63u7iaqT
nagranie abstraktu

Two identical glasses contain water at different temperatures: 20°C and 40°C. Is the internal energy of water in each glass the same? Justify the answer.

Summary

1. The internal energyinternal energyinternal energy of the body is the sum of the kinetic and potential energies of all atoms or molecules that this body consists of.

2. The value of internal energyinternal energyinternal energy depends on:

  • the number of atoms and molecules which are part of this body – the more molecules, the greater the number of components of the sum,

  • body temperature - higher temperature means a higher value of the average kinetic energy of the particles,

  • the type of substance and its state of matterstate of matterstate of matter - the amount of potential energy which comes from intermolecular interactions changes with the state of matterstate of matterstate of matter of the substance and is different for different substances.

3. The first law of thermodynamics determines the relationship between the change of the internal energy of the body and the work done by the body (or over the body) and heat (delivered or given away by the body).
The first law of thermodynamics states that the change in the internal energy of the system ΔU is equal to the sum of the heat supplied Q and the work done on the system W.

4. The work done by the body against the friction force can increase its internal energyinternal energyinternal energy. Rubbing hands or starting fire by rubbing two properly prepared dry woods are the examples of such situation.

Exercises

R1O2yGSH2FTo2
Exercise 1
Wersja alternatywna ćwiczenia: In which example does the internal energy of the body change as a result of work? Możliwe odpowiedzi: 1. A piece of wood was heated up as a result of rubbing it with a piece of sandpaper., 2. Upper layers of water are heated in the container due to the phenomenon of convection., 3. Fruit drink was cooled after throwing ice cubes into it., 4. A stone statue, standing in a sunny place, was warmed up on one side.
zadanie
Source: GroMar, licencja: CC BY 3.0.
RuLSAIIOamORc
Exercise 2
Wersja alternatywna ćwiczenia: In a glass there is tea at the temperature close to the boiling point of water. What happens when you put teaspoons which are at room temperature into the tea? Możliwe odpowiedzi: 1. The internal energy of the tea will decrease and the internal energy of the teaspoon will increase., 2. The internal energy of the teaspoon, or the internal energy of the tea will not change., 3. The internal energy of the teaspoon will be unchanged, and the internal energy of the tea will decrease., 4. The internal energy of the teaspoon will increase and the internal energy of the tea will remain unchanged.
zadanie
Source: GroMar, licencja: CC BY 3.0.
Exercise 3

Experiment 1.

Insert a metal object and a piece of board into the freezer. After a few hours, remove these items and take them in both hands. Which item feels „cold” to you and which one feels „warm”? Explain your impression. Write a note in English.

Experiment 2.

Prepare three dishes with water. Pour cold water into the first container. Put some lukewarm water into the other one, and pour hot water into the third one, (be careful and do not scald yourself). Then put one hand inside the container with cold water and the other hand into the container with hot water. After a few minutes, immerse both hands in the other container with lukewarm water. What do you feel? Is the impression of „coldness” the same for each hand? Write a note in English.

RcAh19abRUaUa
Exercise 4
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. energia wewnętrzna - internal energy, 2. wzrost temperatury - temperature increase, 3. ciepło - heat, 4. wymiana ciepła - heat exchange, 5. wykonanie pracy - state of matter, 6. spadek temperatur - particle
zadanie
Source: GroMar, licencja: CC BY 3.0.
RrItHrY2di1i81
Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.

Glossary

doing work
doing work

wykonanie pracy

R1El086TTr17U1
wymowa w języku angielskim: doing work
heat
heat

ciepło

R1SeGHXOCaHIK1
wymowa w języku angielskim: heat
heat exchange
heat exchange

wymiana ciepła

R17Y1UzQMcyzu1
wymowa w języku angielskim: heat exchange
internal energy
internal energy

energia wewnętrzna

R1Kub9ZvjQhP51
wymowa w języku angielskim: internal energy
particle
particle

cząstka

R1C3Q0aml1Znf1
wymowa w języku angielskim: particle
state of matter
state of matter

stan skupienia

Rs1IzOnvei0fU1
wymowa w języku angielskim: state of matter
temperature increase
temperature increase

wzrost temperatury

Rxe9Wsb5eYNXe1
wymowa w języku angielskim: temperature increase
thermodynamics
thermodynamics

termodynamika

RHYRcOzXh59Va1
wymowa w języku angielskim: thermodynamics

Keywords

internal energyinternal energyinternal energy

heatheatheat

heat exchangeheat exchangeheat exchange

doing workdoing workdoing work

temperature increasetemperature increasetemperature increase