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11P12

Thermodynamics

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Learning Objectives

Basic terminology of thermodynamics

Laws of thermodynamics

Heat Engine

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11P12

Introduction

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Heat

Thermodynamics is the branch of physics that deals with the concepts of heat and temperature and the interconversion of heat and other forms of energy.

Thermodynamics

Thermo

Dynamics

+

Force involved in conversion

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Work done by our palms gets converted into heat.

 

Why ?

Work and Heat are interconvertible

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Heat provided by steam is converted into work.

 

Why ?

 

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11P12.1

Basic Terminology and Zeroth Law

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Leaning Objectives

Basic Terminology

Temperature and Zeroth Law

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11P12.1

CV 1

Basic Terminology

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System :

A region in space in which our entire study is focused.

Note : System can be changed based on our priority.

System

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4-Cylinder 4-Stroke Engine

System

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Surroundings :

Everything other than system is known as surroundings .

System

Surroundings

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Boundary :

It is a separating medium which distinguishes the system and surroundings .

System

Surroundings

Boundary

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Features of Boundary :

  • A boundary can be fixed or movable .
  • It can be real or imaginary .

Fixed

Movable

Real

Imaginary

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  • Boundary is always considered of negligible thickness .

For avoiding energy losses within the boundary.

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Universe :

It is the combination of system and surroundings.

System

Surroundings

Boundary

Universe

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Types of System

Closed System

Open System

Isolated System

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Closed System :

i) Heat transfer takes place.

ii) No mass transfer takes place.

Eg :

Pressure Cooker (Without Whistling)

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Open System :

i) Heat transfer takes place.

ii) Mass transfer takes place.

Eg :

Tea in a cup

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Isolated System :

i) No heat transfer takes place.

ii) No mass transfer takes place.

Eg :

Thermoflask

Isolated system is a special case of closed system.

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Properties of a System :

Properties are the characteristics which specify the system.

Types of Properties

Intensive Properties

Extensive Properties

Independent of quantity of the system.

Depends upon the quantity of the system.

Eg: Temperature, Pressure.

Eg: Mass, Volume, Energy.

i)They are distinguishable.

ii)They are observable.

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Taking one more ice cube

Intensive Properties :

Temperature is independent of quantity, so it is an intensive property.

 

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+

Extensive Properties :

Mass of the system depends upon the quantity, so it is an extensive property.

 

 

 

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ConcepTest

Ready for Challenge

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Q . Separate extensive and intensive properties.

Density, Pressure, Temperature, Viscosity, Volume, Specific

volume, Mass.

Pause the Video

(Time Duration : 2 Minutes)

Sol .

Extensive Properties : Volume, Mass.

Intensive Properties : Density, Pressure, Temperature,

Viscosity, Specific volume.

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Macroscopic and Microscopic Approach :

Macroscopic approach deals with the study of bulk of particles but not the behaviour of individual particles. This branch is also known as Classical Thermodynamics .

The behaviour of individual constituent particles is studied in microscopic approach. It is also known as Statistical Thermodynamics

Microscopic

Macroscopic

Study of all the particles at once.

Study of single particles.

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State 1

State 2

General meaning of State, Process and Path :

State 3

Path

Path

Path

Process

Process

Process

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State of a System :

State is defined as the condition of a system described with the help of its properties like pressure, volume and temperature .

 

Thermodynamic properties

Thermodynamic State

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Process :

It is the change of state from one equilibrium state to another.

 

 

Equilibrium States

Process

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Types of Process :

I). Reversible Process :

 

 

 

It is defined as a process that can be reversed without leaving any trace on the surroundings.

It means both system and surroundings are returned to their initial states at the end of the reverse process.

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Reversible Process

Backward and Forward paths are same.

Eg :

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A

Irreversible Process :

 

 

B

It is a process that cannot return to their original conditions with same path, if reversed.

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Backward and Forward paths are not same.

Irreversible Process

Eg :

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Path :

It is the locus of all the intermediate equilibrium states of a system

during a process.

 

 

 

Processes :

 

 

 

 

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Cycle :

A cycle is a collection of processes whose initial and final states are

the same.

Note : A minimum of two processes are required to from a cycle.

 

 

 

Processes :

 

 

 

 

 

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State Function :

Those function which depends only upon the end states of a system known are as state function.

Eg: Energy.

Note : They are independent of the path taken by the system.

 

A

B

C

 

 

 

 

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Path Function :

Those function which depends upon the path taken by the system during the process are known as path function .

Eg: Work, Heat.

 

A

B

C

 

 

 

 

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11P12.1

CV 2

Temperature and Zeroth Law

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Hotness and coldness are relative terms.

Temperature :

Temperature is a measure of the average kinetic energy of the particles in a system.

SI Unit : Kelvin (K)

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Adiabatic Wall :

Diathermic Wall :

A wall which prevents thermal interaction is known as adiabatic wall and a system enclosed within an adiabatic wall is called thermally isolated. 

If exchange of heat takes place between the system and surroundings through the boundary wall, the boundary is called diathermic wall.

 

 

 

 

 

Heat

Heat

Adiabatic

Wall

Diathermic

Wall

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Two physical systems are in thermal equilibrium if there is no net flow of thermal energy between them when they are connected by a path permeable to heat.

Thermal Equilibrium :

A

B

Conducting wall

(Diathermic wall)

 

 

 

Insulation

 

Heat transfer stops.

Thermal equilibrium achieved.

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ConcepTest

Ready for Challenge

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B

Non conducting wall

(Adiabatic wall)

 

 

Q . If we use adiabatic wall in place of diathermic wall then is it

possible to achieve thermal equilibrium ?

Pause the Video

(Time Duration : 2 Minutes)

Sol .

Answer : No.

Explanation : If we use adiabatic wall then there will be no heat transfer between the systems and we know for achieving thermal equilibrium a permeable medium for heat transfer is required.

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Zeroth Law of Thermodynamics :

The zeroth law of thermodynamics states that, “if two thermodynamic systems are each in thermal equilibrium with a third one, then they are in thermal equilibrium with each other.”

 

A

B

C

Adiabatic wall

Diathermic wall

 

 

 

After some time

Adiabatic wall

Diathermic wall

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Zeroth law is a consequence of thermal equilibrium and allow us to conclude the temperature is a well defined physical quantity.

So on the basis of thermal equilibrium temperature can be defined as,

Temperature is that thermodynamic property whose restricted value defines the thermal equilibrium.

A

B

 

 

 

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ConcepTest

Ready for Challenge

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Pause the Video

(Time Duration : 2 Minutes)

 

Sol .

 

 

 

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For Room B,

 

 

 

 

So, Heat will flow from room A to room B.

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Summary :

  • Thermodynamics is the study of heat and temperature and interconversion of heat and other forms of energy.
  • A region in space in which our entire study is focused known as system.
  • Properties are the characteristics which specify the system.
  • Change of state from one equilibrium state to another known as process.
  • Collection of processes whose initial and final states are same is known as cycle.
  • Temperature is the measurement of average kinetic energy of the particles within the system.

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Summary :

  • Two system are said to be in thermal equilibrium if there is no heat transfer between them when they are connected through a permeable medium for heat.
  • The zeroth law of thermodynamics states that, “if two thermodynamic systems are each in thermal equilibrium with a third one, then they are in thermal equilibrium with each other.”

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11P12.2

First Law of Thermodynamics

and

Thermodynamic Processes

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Learning Objectives

Concept of Internal Energy, Heat and Work

First Law of Thermodynamics

Specific heat capacities and indicator diagram

Thermodynamic Processes

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11P12.2

CV 1

Concept of Internal Energy, Heat and Work

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Concept of Internal Energy (U) :

Internal energy is defined as the energy associated with the random, disordered motion of molecules.

All objects are made up of small particles and every particle has both kinetic and potential energy.

Internal energy can also be defined as the sum of the kinetic energies and potential energies of these small particles.

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Unit : Joule (J)

Internal energy is a state function i.e. it does not depend upon the path followed by the process.

 

 

 

A

B

C

 

 

 

 

Internal energy is the energy in storage.

Internal energy depends upon temperature.

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ConcepTest

Ready for a Challenge

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Q. What is the change in internal energy for a process which

has final and initial states are exactly similar ?

Sol.

Pause the Video

(Time Duration : 2 Minutes)

A) Positive

B) Negative

C) Zero

D) Can’t say

Answer : C

Since internal energy is a state function, so change in internal energy for this process will be zero.

A

 

 

B

Explanation :

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Heat (Q) :

Heat is energy in transfer to or from a thermodynamic system, by mechanisms other than thermodynamic work or transfer of matter.

High Temperature

Low Temperature

Heat Flow

When there is temperature difference or phase change then heat will flow from high temperature to low temperature.

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Sign Convention :

(i) Heat supplied to the system is always taken as Positive (+)

(ii) Heat rejected by the system is always taken as Negative (-)

System

Heat supplied (+)

Heat rejected (-)

Note : Heat transfer is a path function i.e. if we change the path,

amount of heat transfer will change.

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Latent Heat :

Types of Heat :

This heat is responsible for the change in phase of the system at constant temperature.

Sensible Heat :

It is the form of heat which is responsible for the changes in temperature of the system.

 

 

 

 

 

Sensible Heat

Sensible Heat

Latent Heat

Latent Heat

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Thermodynamic Work (W) :

In thermodynamics, work performed by a system is the energy transferred by the system to its surroundings.

Work for Closed System (W) :

It is given by,

 

It is valid only when,

(i) System is a closed system.

(ii) Process must be reversible.

Work is a form of energy, but it is energy in transit.

Must cross the system boundary.

 

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Sign Convention :

(ii) Work done by the system is always taken as Positive (+).

(i) Work done on the system is always taken as Negative (-).

System

Work done on the system i.e. Compression (-)

Work done by the system i.e. Expansion (+)

Note : Work transfer is a path function i.e. if we change the path

amount of work transfer will change.

Unit : Joule (J)

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Note : Heat and Work both are energy in transit.

Energy which is noticeable when it crosses the system boundary.

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ConcepTest

Ready for a Challenge

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Q. In which of the following systems there will be zero

thermodynamic work done ?

Systems are represented by dotted lines

Sol.

Pause the Video

(Time Duration : 2 Minutes)

Motor

Generator

Motor

Generator

Motor

Generator

Answer : C

A)

B)

C)

Explanation : According to definition of thermodynamic work,

work is energy in transit i.e. it must cross the boundary

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11P12.2

CV 2

First Law of Thermodynamics

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First Law of Thermodynamics :

The law of conservation of energy states that the energy can be transformed from one form to another, but neither be created nor destroyed.

The first law of thermodynamics is based on the law of conservation of energy, adapted for thermodynamic systems.

Conservation and Conversion of Energy in different forms

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First law of thermodynamics states that,

The change in the internal energy ΔU of a closed system is equal to the amount of heat Q supplied to the system, minus the amount of work W done by the system on its surroundings.”

 

System

 

 

 

 

According to first law of thermodynamics,

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From first law of thermodynamics,

Rearranging the above formula,

 

 

 

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Limitations of First Law of Thermodynamics :

(i) It does not tell us about the direction of flow of energy.

(ii) It does not tell us about anything whether the process is

spontaneous or not.

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11P12.2

PSV 1

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Sol.

Applying 1st law of thermodynamics

 

According to the question

 

 

 

 

 

 

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11P12.2

PSV 2

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Sol.

A

 

 

B

 

 

 

 

For thermodynamic cycle,

 

 

 

Applying 1st law of Thermodynamics

 

 

 

 

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11P12.2

CV 3

Specific heat capacities

and

Indicator Diagram

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Heat Capacity(S) :

 

 

 

 

System

 

 

 

 

 

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Specific heat capacity(s) :

 

 

 

Specific heat capacity of water :

Old unit of heat : Calorie.

 

 

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Now we use unit joule for energy, so specific heat of water,

 

 

 

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C depends upon the following factors

a) Nature of substances.

b) Temperature of substances.

c) Condition under which heat is supplied.

Molar specific heat capacity(C) :

 

 

 

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Types of molar specific heat

 

 

 

 

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Vol.

Mass

 

 

Volume

Temp.

Heat

 

By 1st law of thermodynamics

 

For constant volume process

 

 

 

 

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For constant pressure process

By 1st law of thermodynamics

 

 

For same change in internal energy, larger amount of heat required in a constant pressure process as compared to constant volume process.

 

 

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ConcepTest

Ready for a Challenge

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Q. Can the specific heat of gas be infinite ?

Sol.

Pause the Video

(Time Duration : 2 Minutes)

While the substance is undergoing a phase transition, such as melting or boiling, its specific heat is technically infinite, because the heat goes into changing its state rather than raising its temperature.

Answer : Yes

Explanation :

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Indicator diagram :

Indicator diagrams are used to assess the performance of each unit of engine.

A pressure–volume diagram is used to describe corresponding changes in volume and pressure in a system known as indicator diagram.

It is based on the indicator diagram that the overall performance of the engine is assessed.

 

 

 

 

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We know

Work done for closed system using indicator diagram :

 

 

 

If we project the curve on the volume axis of P-V diagram

Using indicator diagram (P-V diagram),

 

 

 

 

 

 

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11P12.2

PSV 3

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Sol.

 

 

From 1st law of Thermodynamics

Q. Calculate the heat absorbed by the system in going through one cycle for the cyclic process shown in figure.

 

 

 

 

 

 

Now work done is equal to area under this curve

 

 

 

 

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11P12.2

CV 4

Thermodynamic Processes

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Quasi-static Process

A quasi-static process is a thermodynamic process that happens slowly enough for the system to remain in internal equilibrium. 

Quasi

Static

 

Almost

At Rest

Very Slow Process

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Equilibrium States

 

 

 

 

Stopper

Quasi-Static Process

 

 

 

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Thermodynamic Processes

It is the change of state from one equilibrium state to another.

Isobaric process

Isochoric process

Isothermal process

Adiabatic process

 

 

 

 

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Isobaric Process :

Isobaric process is a thermodynamic process in which the pressure stays constant.

 

Indicator diagram

 

 

 

 

 

 

 

 

 

Eg : Boiling of water on the stove.

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Work done during isobaric process :

 

 

Heat transfer during isobaric process :

 

 

 

 

 

 

 

 

 

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Isochoric Process :

 

Indicator diagram

 

 

It is that thermodynamic process during which the volume of the closed system undergoing such a process remains constant. 

 

 

 

 

 

 

 

 

Eg : Cooking in pressure cooker

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Work done during isochoric process :

 

 

Heat transfer during isobaric process :

 

 

 

 

 

 

 

 

 

 

 

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Isothermal Process :

 

Indicator diagram

 

 

 

 

 

 

An isothermal process is a change of a system, in which the temperature remains constant.

 

 

 

 

 

Eg : Evaporation of water

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Heat transfer by isothermal process :

 

 

 

 

 

 

 

 

 

 

 

 

 

Work done by isothermal process :

 

 

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In an adiabatic process, energy is transferred to the surroundings only as work.

Adiabatic Process :

 

An adiabatic process occurs without transfer of heat or mass of substances between a thermodynamic system and its surroundings.

 

and

 

Adiabatic index

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Indicator diagram :

Work done by adiabatic process:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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ConcepTest

Ready for a Challenge

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Q. Which process has larger slope on P-V diagram.

A) Adiabatic Process B) Isothermal Process

Sol.

Pause the Video

(Time Duration : 1 Minutes)

Answer : A

Explanation :

For isothermal Process

For Adiabatic Process

 

Differentiating above equation

 

 

 

Differentiating above equation

 

 

 

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Adiabatic Process

Isothermal Process

Comparison of both isothermal and adiabatic curve :

Slope of adiabatic curve is always greater than the slope of isothermal curve

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11P12.2

PSV 4

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Sol.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Isobaric Process

 

 

 

 

 

 

 

Highest value of internal energy occurs at the end of constant volume process.

So,

 

 

 

 

 

 

 

 

 

 

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Summary :

  • Internal energy is defined as the energy associated with the random, disordered motion of molecules.
  • Heat is the energy transfer to or from a thermodynamic system due to temperature difference and phase change.
  • Thermodynamic work is known as energy transfer by the system to the surroundings except heat transfer.
  • The change in the internal energy ΔU of a closed system is equal to the amount of heat Q supplied to the system, minus the amount of work W done by the system on its surroundings. This is known as first law of thermodynamics.

 

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Summary :

  • Quasi static process is the process of infinite slowness.
  • Isobaric process is a thermodynamic process in which the pressure stays constant.
  • Isochoric process is the process during which the volume of the closed system remains constant. 
  • An isothermal process is a change of a system, in which the temperature remains constant.
  • An adiabatic process occurs without transfer of heat or mass of substances between a thermodynamic system and its surroundings.

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Reference Questions

NCERT – 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.9

Workbook – 1, 4, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 19

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11P12.3

Heat Engine, Reverse Heat Engine

and

Second Law of Thermodynamics

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Learning Objectives

Carnot engine

Second law of thermodynamics and Engines

Reverse heat Engines or refrigerator and heat pump

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11P12.3

CV 1

Engines and their Performance

and

Second Law of Thermodynamics

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Engine

An engine is a machine designed to convert one form of energy into mechanical energy.

Heat engines, like the internal combustion engine, burn a fuel to create heat which is then used to do work. 

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Heat Engine

External combustion engine

Internal combustion engine

Combustion of fuel takes place outside the engine.

Combustion of fuel takes place inside the engine.

Eg: Steam Engine

Eg: Petrol Engine

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External combustion engine :

The fluid then, by expanding and acting on the mechanism of the engine, produces motion and usable work.

An external combustion engine is a heat engine where a working fluid, contained internally, is heated by combustion in an external source, through the engine wall or a heat exchanger.

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Internal combustion engine :

An engine which generates motive power by the burning of petrol, oil, or other fuel with air inside the engine, the hot gases produced being used to drive a piston or do other work as they expand

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Component of Heat Engine :

Thermal Reservoir

A thermal reservoir is the part of environment which can exchange heat energy with the system. Its temperature is not affected by the quantity of heat supplied to or from it.

Eg. Boiler

Eg. Atmospheric air

Heat Source

Heat Sink

Reservoir at high temperature

Reservoir at low temperature

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A working fluid is a gas or liquid that primarily transfers force, motion, or mechanical energy.

Working Fluid

Eg.(i) Mixture of air and petrol used in small load engines.

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Heat Engine

It does this by bringing a working substance from a higher state temperature to a lower state temperature.

In thermodynamics, a heat engine is a system that converts heat or thermal energy and chemical energy to mechanical energy, which can then be used to do mechanical work.

H.E

 

 

 

 

 

 

 

 

Heat Engine

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Intake of Fuel

 

Working Fluid

Spark Plug

 

 

Continuous intake of air fuel mixture and exhaust of burnt gases produces a cycle

Heat Engine operates in a cycle

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H.E

 

 

 

 

 

 

 

 

 

A heat engine absorbs heat energy from the high temperature heat 

source, converting part of it to useful work and delivering the rest to the cold temperature heat sink.

The efficiency of a heat engine is defined as ratio of work output to the heat input.

 

Heat Engine

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H.E

 

 

 

 

 

 

From first law of thermodynamics

 

 

 

 

 

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Second Law of Thermodynamics :

 

The Kelvin–Planck statement states, it is impossible to construct a cyclically operating heat engine, the effect of which is to absorb energy in the form of heat from a single thermal reservoir and to deliver an equivalent amount of work.”

H.E

 

 

 

H.E

 

 

 

 

 

With single reservoir a cycle can’t be produced.

Heat Engine

Heat Engine

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H.P

 

 

 

 

 

Clausius statement states, “It is not possible to construct a device that operates in a cycle and whose sole effect is to transfer heat from a colder body to a hotter body.”

 

If no external work done then process not possible.

H.P

 

 

 

 

 

Heat

Pump

Heat

Pump

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ConcepTest

Ready for a Challenge

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Sol.

Pause the Video

(Time Duration : 2 Minutes)

Answer : No.

 

Explanation :

 

According to Kelvin–Planck statement it is impossible to construct a cyclically operating heat engine, the effect of which is to absorb energy in the form of heat from a single thermal reservoir and to deliver an equivalent amount of work.

Which is violation of Kelvin-Planck statement because an engine can’t be made for working in a cycle with single thermal reservoir.

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11P12.3

PSV 1

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Sol.

We know,

H.E

 

 

 

 

 

 

 

 

 

And

 

 

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11P12.3

CV 2

Reverse Heat Engine

(Refrigerator and Heat Pump)

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It is a device that transfers energy from an object at a lower temperature to an object at a higher temperature by doing work on the system.

Reverse Heat Engine

Refrigerator

Heat Pump

Device which is used to cool down a space.

Device which is used to keep a space warm.

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Reverse Heat Engine

Front side

Side of AC which is cooling the room.

Rear side

Side of AC which is heating the atmosphere.

If we reverse the heat engine than it can behave as both Refrigerator as well as Heat pump.

Working as Refrigerator

Working as Heat Pump

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Refrigerator :

It is a mechanical device which is used to maintain the temperature

of a storage space lower than that of the surroundings.

H.P

 

 

 

 

 

Desired effect of refrigerator.

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Coefficient of performance of refrigerator :

R

 

 

 

 

 

 

 

 

Removal of heat from storage space at lower temperature

 

 

From 1st law of thermodynamics

 

 

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For ideal reversible refrigerator

 

 

 

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11P12.3

PSV 2

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Sol.

We know,

 

 

R

 

 

 

 

 

 

 

 

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Heat Pump :

A heat pump is a mechanical device which helps in keeping the temperature of a system greater than that of the surroundings

H.P

 

 

 

 

 

Desired effect of heat pump.

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Coefficient of performance of heat pump :

R

 

 

 

 

 

 

 

 

Addition of heat in the system at higher temperature

 

 

From 1st law of thermodynamics

 

 

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For ideal reversible refrigerator

 

 

 

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ConcepTest

Ready for a Challenge

143 of 168

 

Sol.

Pause the Video

(Time Duration : 2 Minutes)

 

 

 

 

We know

 

 

 

and

 

 

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11P12.3

PSV 3

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Sol.

We know,

 

 

H.P

 

 

 

 

 

 

 

Heat Pump

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11P12.3

CV 3

Carnot Engine

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It gives the estimate of the maximum possible efficiency of an engine.

Carnot Engine

 

A reversible heat engine operating between

two temperatures is called a Carnot engine.

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Carnot Cycle :

 

We have taken ideal gas as an working substance.

 

 

 

 

 

 

 

 

 

 

 

 

 

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Work done by the process is given by,

 

Here no heat transfer takes place and work is done by the system.

 

 

 

 

 

 

 

 

 

 

 

Carnot Cycle :

We have taken ideal gas as an working substance.

 

 

 

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Carnot Cycle :

We have taken ideal gas as an working substance.

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Here, the work done on the gas by the environment is given by:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Carnot Cycle :

We have taken ideal gas as an working substance.

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Carnot Cycle :

We have taken ideal gas as an working substance.

 

 

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ConcepTest

Ready for a Challenge

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Sol.

Pause the Video

(Time Duration : 2 Minutes)

 

 

 

 

 

 

 

 

 

 

Note that W is positive since the work is done by the gas.

We know that work done by the gas in an isothermal expansion

 

 

 

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Carnot Cycle :

We have taken ideal gas as an working substance.

 

 

 

 

 

 

 

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Carnot Cycle :

We have taken ideal gas as an working substance.

 

 

 

 

 

 

 

 

 

 

 

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Carnot Cycle :

We have taken ideal gas as an working substance.

 

 

 

 

 

 

 

 

 

We see Carnot efficiency depends only upon temperatures only not on the working substances.

 

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Carnot Cycle :

We have taken ideal gas as an working substance.

 

 

 

 

 

 

 

 

 

 

 

Net work during Carnot cycle

 

Efficiency of Carnot cycle

Isothermal Expansion

Adiabatic Expansion

Adiabatic Compression

Isothermal

Compression

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Carnot Theorem :

  • No heat engine can be more efficient than a reversible engine operating between the same temperature limits (the temperature of heat addition and temperature of heat rejection)

 

 

 

 

 

 

  • All reversible heat engines operating between the same temperature limits have the same efficiency

 

Heat Engine

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Proof of Carnot Theorem :

H.E

 

 

 

 

 

 

 

 

 

 

 

We have to prove

 

We know

 

 

 

 

 

 

and

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Proof of Carnot Theorem :

Now reversing the direction of reversible heat engine

 

H.E

 

 

 

 

 

 

 

 

 

 

 

 

Since we have assumed that

 

 

 

 

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Proof of Carnot Theorem :

So Here we are getting continuous work with single thermal energy reservoir which is violation of Kelvin-Planck’s statement.

 

 

i.e. the reverse will be true.

 

This is the proof of Carnot’s Theorem.

 

 

H.E

 

 

 

 

 

 

 

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Difficulties in Constructing A Carnot Engine

(ii) The Carnot cycle has alternating isothermal and adiabatic processes.

There are 2 reasons why it's not possible.

(i) The Carnot cycle is an ideal cycle. With ideal processes there is no waste of energy as heat and friction & thermal efficiency is 100% which obviously is never going to happen.

Isothermal is a very slow process.

Adiabatic is a very fast process.

Isothermal Process :

Adiabatic Process :

So it is very difficult to combine two different speed processes in one cycle.

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11P12.3

PSV 4

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Sol.

 

 

H.E

 

 

 

 

 

We know Carnot efficiency

 

 

 

 

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Summary :

  • In thermodynamics, a heat engine is a system that converts heat or thermal energy and chemical energy to mechanical energy, which can then be used to do mechanical work.

 

  • Efficiency of heat engine is given by,
  • Refrigerator is a mechanical device which is used to maintain the temperature of a storage space lower than that of the surroundings.
  • A heat pump is a mechanical device which helps in keeping the temperature of a system greater than that of the surroundings

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Summary :

Any engine operating between the same temperature limit will not have more efficiency than Carnot engine. This is known as Carnot Theorem.

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Reference Questions

NCERT : 12.7, 12.8, 12.10.

Workbook : 3, 5, 11, 14, 18, 20.