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Презентация на тему Heat flow and the first law of thermodynamics. Kind of thermodynamic process. Adiabatic processes

Lecture 6 Heat flow and the first law of thermodynamics. Kind of thermodynamic process. Adiabatic processes.
Republic of KazakhstanMinistry of Education and Science Kazakh-British Technical UniversityFaculty of Power Lecture 6 Heat flow and the first law of thermodynamics. Kind of HeatWhen the temperature of a thermal system in contact with a neighboring Mechanical equivalent of heatMechanical energy is not conserserved in the presence of Specific heat capacityThe heat capacity C of a particular sample of a Energy transfer and specific heat capacityFrom this definition, we can relate the Dependence of specific heat capacity on temperatureSpecific heat varies with temperature. For Dependence of specific heat capacity on volume and pressureMeasured values of specific Phase transitionIt can be that transfer of energy does not result in Latent heatQuantitative measure of phase transition is latent heat L:Q=±mLLatent heat of State variables - Thermodynamic process - Thermal equilibrium We describe the state Work and heat in thermodynamic processThe total work done by the gas Work depends on the path:(a): Wa= Pi(Vf-Vi)(b): Wb= Pf(Vf-Vi)1) Wa< Wb as Two ways of energy transfer	There exist two ways in which energy can The First Law of ThermodynamicsThe change in internal energy ΔU of the The first law of thermodynamics is a special case of the law Ideal Gas ProcessesHere W is work done by the system, ΔQ - Adiabatic (no heat flow, Q=0):ΔW = -ΔU	The curve of adiabatic process is Polytropic processesPVγ = const, γ=const.Isobaric		γ=0Isotermic	γ=1Adiabatic	γ= CP/CVIsochoric	γ=∞ Cyclic ProcessesIf a nonisolated system is performing a cyclic process, the change In a closed cycle, the work done by a gas on its
Слайды презентации

Слайд 2 Lecture 6
Heat flow and the first law of

Lecture 6 Heat flow and the first law of thermodynamics. Kind

thermodynamics.
Kind of thermodynamic process. Adiabatic processes.


Слайд 3 Heat
When the temperature of a thermal system in

HeatWhen the temperature of a thermal system in contact with a

contact with a neighboring system changes, we say that

there has been a heat flow into or out of the system.
An energy unit related to thermal processes is the calorie (cal), which is defined as the amount of energy transfer necessary to raise the temperature of 1 gram of water by 1 degree (from 14.5°C to 15.5°C).


Слайд 4 Mechanical equivalent of heat
Mechanical energy is not conserserved

Mechanical equivalent of heatMechanical energy is not conserserved in the presence

in the presence of nonconservative forces. It transforms into

internal energy. For example, friction produces heating
1 cal = 4.186 J




Слайд 5 Specific heat capacity
The heat capacity C of a

Specific heat capacityThe heat capacity C of a particular sample of

particular sample of a substance is defined as the

amount of energy needed to raise the temperature of that sample by 1 °C.
C=Q/ΔΤ
The specific heat capacity c of a substance is the heat capacity per unit mass.
c=C/m=Q/(mΔΤ)
Specific heat is essentially a measure of how thermally insensitive a substance is to the addition of energy. The greater a material’s specific heat, the more energy must be added to a given mass of the material to cause a particular temperature change.

Слайд 6 Energy transfer and specific heat capacity
From this definition,

Energy transfer and specific heat capacityFrom this definition, we can relate

we can relate the energy Q transferred between a

sample of mass m and specific heat capacity c of a material and its surroundings to a temperature change ΔT as
Q=mc ΔT


Слайд 8 Dependence of specific heat capacity on temperature
Specific heat

Dependence of specific heat capacity on temperatureSpecific heat varies with temperature.

varies with temperature. For example, the specific heat of

water varies by only about 1% from 0 c °C to 100 °C at atmospheric pressure. Usually such variations are negligible.





Слайд 9 Dependence of specific heat capacity on volume and

Dependence of specific heat capacity on volume and pressureMeasured values of

pressure
Measured values of specific heats are found to depend

on the conditions of the experiment. In general, measurements made in a constant pressure process are different from those made in a constant volume process. For solids and liquids, the difference between the two values is usually no greater than a few percent and is often neglected.

Слайд 10 Phase transition
It can be that transfer of energy

Phase transitionIt can be that transfer of energy does not result

does not result in a change in emperature. This

is the case when the physical characteristics of the substance change from one form to another; such a change is called a phase change. Two common phase changes:
melting: from solid to liquid
boiling: from liquid to gas
change in the crystalline structure of a solid
All such phase changes involve a change in internal energy but no change in temperature.
The increase in internal energy in boiling, for example, is represented by the breaking of bonds between molecules in the liquid state; this bond breaking allows the molecules to move farther apart in the gaseous state, with a corresponding increase in intermolecular potential energy.

Слайд 11 Latent heat
Quantitative measure of phase transition is latent

Latent heatQuantitative measure of phase transition is latent heat L:Q=±mLLatent heat

heat L:
Q=±mL
Latent heat of fusion Lf is the term

used when the phase change is from solid to liquid,
Latent heat of vaporization Lv is the term used when the phase change is from liquid to gas (the liquid “vaporizes vaporizes”).

Слайд 13 State variables - Thermodynamic process - Thermal equilibrium

State variables - Thermodynamic process - Thermal equilibrium We describe the


We describe the state of a system using such

variables as pressure, volume, temperature, and internal energy. These quantities are called state variables. Macroscopic state of a system can be specified only if the system is in thermal equilibrium. When we regard a thermodynamic process we imply that all its state variables change quasi-statically, that is, slowly enough to allow the system to remain essentially in thermal equilibrium at all times.


Слайд 14 Work and heat in thermodynamic process
The total work

Work and heat in thermodynamic processThe total work done by the

done by the gas as its volume changes from

Vi to Vf is




The work done by a gas in a quasi-static process equals the area under the curve on a PV diagram, evaluated between the initial and final states. It depends on the path between the initial and final states.

Слайд 15 Work depends on the path:
(a): Wa= Pi(Vf-Vi)
(b): Wb=

Work depends on the path:(a): Wa= Pi(Vf-Vi)(b): Wb= Pf(Vf-Vi)1) Wa< Wb

Pf(Vf-Vi)
1) Wa< Wb as Pf < Pi
2) Wa

Wb as the coloured area in (b) case is large then the area in (a) case

Слайд 16 Two ways of energy transfer
There exist two ways

Two ways of energy transfer	There exist two ways in which energy

in which energy can be transferred between a system

and its surroundings:
One way is work done by the system, which requires that there be a macroscopic displacement of the point of application of a force.
The other is heat, which occurs on a molecular level whenever a temperature difference exists across the boundary of the system.
Both mechanisms result in a change in the internal energy of the system and therefore usually result in measurable changes in the macroscopic variables of the system, such as the pressure, temperature, and volume of a gas.

Слайд 17 The First Law of Thermodynamics
The change in internal

The First Law of ThermodynamicsThe change in internal energy ΔU of

energy ΔU of the system is equal to the

heat Q put into a system minus the work W done by the system.

ΔU= Q - W

Note: here W is with the minus sign as the work is done by the system.

Слайд 18 The first law of thermodynamics is a special

The first law of thermodynamics is a special case of the

case of the law of conservation of energy that

encompasses changes in internal energy and energy transfer by heat and work. It provides a connection between the microscopic and macroscopic approaches.

Слайд 19 Ideal Gas Processes
Here W is work done by

Ideal Gas ProcessesHere W is work done by the system, ΔQ

the system,
ΔQ - heat flow into the system.
Isobaric

(constant pressure):
W=PΔV
dQ = CpdT
Isochoric (constant volume):
ΔW = 0
ΔQ = ΔU
dQ = CVdT
Cp, CV are specific heat capacities, Cp = CV + nR, n is the number of moles.
Isothermal (constant temperature):
ΔU = 0
ΔQ = ΔW

Слайд 20 Adiabatic (no heat flow, Q=0):
ΔW = -ΔU
The curve

Adiabatic (no heat flow, Q=0):ΔW = -ΔU	The curve of adiabatic process

of adiabatic process is described by formula:
PVγ = const
TVγ−1

= const
γ=CP/CV




Слайд 21 Polytropic processes
PVγ = const, γ=const.
Isobaric γ=0
Isotermic γ=1
Adiabatic γ= CP/CV
Isochoric γ=∞


Polytropic processesPVγ = const, γ=const.Isobaric		γ=0Isotermic	γ=1Adiabatic	γ= CP/CVIsochoric	γ=∞

Слайд 22 Cyclic Processes
If a nonisolated system is performing a

Cyclic ProcessesIf a nonisolated system is performing a cyclic process, the

cyclic process, the change in the internal energy must

be zero. Therefore the energy Q added to the system must equal the negative of the work W done by the system during the cycle:

ΔU = 0,
Q = W

On a PV diagram, a cyclic process appears as a closed curve. In a cyclic process, the net work done by the system per cycle, equals the area enclosed by the path representing the process on a PV diagram.

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