Sunday, 31 August 2014

Heat

Definitions:

1. Internal Energy

Internal Energy of a body is the sum of all kinetic and potential energy of all molecules constituting the body.

2. Joules

It is the amount of heat required to rise the temperature of 1/4200 kg of pure water from 14.5 C to 15.5 C.

3. Calorie

It is the amount of heat required to rise the temperature of 1 g of pure water from 14.5C to 15.5C.

4. British Thermal Unit

It is the amount of heat tht is required to rise the temperature of 1 pound of pure water from 63F to 64F.

Difference Between Heat and Temperature:

Heat
  • Heat is the energy in transit from one body to another due to temperature difference.
  • It is the total kinetic energy of the body.
  • Heat is measured using Joule meter.
  • Its unit is Joule.

Temperature
  • Temperature is the degree of hotness or coldness of a body.
  • It is the average kinetic energy of the body.
  • Temperature is measured using thermometer.
  • Its units are F, C and K.

Thermal Expansion:

change in length, breadth and height of a body due to heating is known as Thermal Expansion. It occurs in all the three states, i.e. solids, liquids and gases.

Thermal Expansion of Solids:

Solids expand on heating. Their ability to expand depends on their molecular structure. As the temperature is increased, the average kinetic energy of the molecules increases and they vibrate with larger amplitudes. This results in increase in the distance between them. Hence, they expand on heating. Thermal Expansion of solids can be classified into three types.

1. Linear Thermal Expansion

Change in length or any one dimension of a solid on heating is known as LInear Thermal Expansion.

2. Real Expansion

The sum of the observed increase in the volume of a liquid and that of the containing vessel is called real Thermal expansion.
Real Expansion = Apparent Expansion + Expansion of the Vessel

3. Apparent Expansion

Apparent Expansion is the expansion in which only the expansion of liquid is considered and expansion of the vessel is not taken into account. Apparent expansion is less the real expansion.

Anomalous Expansion of Water:

The increase in the volume of water as its temperature is lowered from 4 C to 0C is known as anomalous expansion of water.
Effects of Anomalous Expansion of Water:
1. In winter, the temperature in the north and south poles of the earth falls. As the temperature fall below 4 C water on the surface expands and stays afloat. Ice continues building up at the surface while the temperature at the bottom remains at 4 C. This helps fish and other forms of marine life to live.

2. During the rainy season a lot of water seeps through the cracks in the rocks. In winter, when the water expands, the rock get broken due to this expansion.

3. In cold climate, water supply pipes burst when the water expands on cooling.

GAS LAWS:

1. Boyle's Law

The volume of a given mass of a gas is inversely proportional to the pressure, If the temperature is kept constant.
P < 1/V (Here < represents sign of proportionality. Do not write this in your examination paper)
P = C * 1/V
C = PV
The above equation is known as equation of Boyle's Law.

==2. Charle's Law
The volume of a given mass of a gas is directly proportional to the temperature, if the pressure is kept constant.
V < T (Here < represents sign of proportionality. Do not write this in your examination paper)
V = C * T
C = V/T
The above equation is known as equation of Charle's Law.

3. Pressure Law

The pressure of a given mass of a gas is directly proportional to the temperature, if the volume is kept constant.
P < T
P = C * T
C = P/T
The above is known as the equation of the Pressure Law.

THERMOMETER:

The instrument that is used to measure temperature is called a thermometer.

Types of Thermometer:

1. Ordinary Liquid-in-Glass Thermometer

Introduction
An ordinary liquid-in-glass thermometer is used in a laboratory to measure temperature within a range of -10C to 110C.

Construction
It consists of a glass stem with a capillary tube, having a small bulb at one end. This bulb is filled with a liquid, usually mercury or alcohol coloured with a red dye. The upper end of the capillary tube is sealed so that the liquid will neither spill not evaporate. The air from the capillary tube is also removed.

Working
When the bulb is heated, the liquid in it expands and rises in the tube. A temperature scale is marked on the glass stem to indicate temperatures according to the various levels of liquid in the tube.

2. Clinical Thermometer

Introduction
A clinical thermometer is a device that is used to find the temperature of the human body. It has a range from 35 C to 43 C (95F to 110F).

Construction
It consists of a glass stem with a capillary tube, having a small bulb at one end. This bulb is filled with a liquid usually mercury or alcohol colored with a red dye. The upper end of the capillary tube is sealed so that the liquid will neither spill nor evaporate. The air from the capillary tube is also removed. The glass stem of a clinical thermometer has a construction in its capillary tube near the bulb. This helps to stop the mercury thread from moving back when the thermometer is removed from the patient's mouth.

Working
In order to find out the temperature, the thermometer is placed in the mouth or in the arm pit of the patient. The liquid in it expands and rises in the tube. A temperature scale is mrked on the glass stem to indicate temperatures according to the various levels of liquid in the tube.

3. Maximum and Minimum Thermometer

Introduction
This thermometer is used to read the maximum and minimum temperatures reached over a period of time.

Construction
This thermometer consists of a fairly large cylindrical bulb with alcohol in it. This bulb is connected through a U-shaped tube filled mercury. At the end of this U-shaped tube another bulb containing alcohol is provided.

Working
When the bulb is heated, alcohol in it expands and drives the mercury round towards the other end of the U-shaped tube. This mercury exerts pressure on the alcohol in the second bulb and its level rises. On each mercury surface, there is a small iron index provides with a light spring to hold it in position in the tube. When the mercury thread is moved, due to expansion or contraction of alcohol in the first bulb, the indices moves and are left in the extreme positions reached over a period of time. The lower end of the index on the left indicates the minimum and that on the right indicates the maximum temperature.

Heat Transfer:

There are three methods of transferring heat from one place into another.

1. Conduction

conduction is a mode of heat transfer by atomic or molecular collisions, without the movement of a bulk of a substance from one position to another, in a body. It mostly occurs in solids.

2. Convection

Convection is a mode of heat transfer by the actual movement of the bulk of the substance from one place to another through large distances. It mostly occurs in liquids and gases.

3. Radiation

Radiation is a mode of heat transfer which requires no material medium. Heat energy is carried by infra red electromagnetic waves from one place to another.

Bi-Metallic Strips:

A bi-metallic strip is made of pieces of two different metals of different expansion rates, e.g. iron and brass. When it is heated, it bends with the brass on the outside of the curve because brass expands more quickly than iron.

1. Bi-metal Thermometer

Introduction
A bi-metal thermometer is made of a bi-metallic coil. No liquid is used in such type of thermometer.

Construction
It consists of a bi-metallic strip in the form of a long spiral. One end of the spiral is kept fixed, while a light pointer is attached to the other end.

Working
When the temperature rises, the bi-metal strip coil itself into an even tighter spiral due to different expansion rates of the two metals. the pointer moves across the temperature scale and in this way reading is noted.

2. Fire Alarm

Introduction
A fire alarm is used to warn people when there is a fire.

Construction
In a fire alarm, one end of a bi-metal strip is firmly fixed, while the other is free. One terminal of a 6 volt battery is connected to the fixed end of the strip through a 6 volt bulb or bell. The other terminal of the battery is connected with a metallic contact which is just above the free end of the bi-metallic strip.

Working
When a fire starts, heat energy is given off. It raises the temperature of the bi-metallic strip and its free end bends towards the contact. On touching the contact, electric circuit gets completed and the bulb starts to glow or in case of a bell, it rings warning about the fire.

Latent Heat of Fusion:

The quantity of heat required to transform 1 kg of ice completely melts into water at 0C is known as Latent Heat of Fusion.

Latent Heat of Vaporization:

the quantity of heat required to transform 1 kg of water completely into steam at 100 C is known as Latent Heat of Vaporization.

Effect of Pressure on Melting Point (Regelation):

The melting point of those substances, which expand on freezing, gets lowered when pressure oever one atmosphere is exerted on them.

Experiment
Take a bare copper wire with weights on its both ends. Place it across a block of ice. The copper wire sinks slowly through the block and weight falls to the floor. Pressure exerted by the copper wire lowers the freezing point of ice and the ice beneath the wire melts. The water flows round the wire and re-freezes on getting above the wire, releasing latent heat energy. This energy is conducted through the copper wire, which helps to melt the ice below the wire. In this way, ice below the wire melts while water above the wire freezes. This process continues until the wire cuts through the ice block.

Effect of Pressure on Boiling Point:

If the pressure on the surface of a liquid is increased above the normal atmospheric pressure, its boiling point increases.

Experiment
Fill a round bottom flask to half its capacity. After boiling the water fro a few minutes, remove the burner and place a cork in the flask. Invert the flask and pour some cold water on the bottom of the flask. After some time, water starts to boil again although no more heat has been provided to it. The reason is that, when the water was boiled, it expelled all the air from the flask. When the flask was corked and allowed to cool the steam condensed into water. Since, no fresh air could enter the flask the pressure inside the flask lowered. This decreased the boiling point of water and water started to boil at normal temperature.

Evaporation:

The process of change of a liquid into vapour without boiling is called evaporation.

Factors on which Evaporation Depends:

Evaporation depends on the following factors:
1. Nature of Liquid: If the boiling point of a liquid is low, then they evaporate much quickly e.g. Alcohol and Ether.

2. Temperature of Liquid: If the surface temperature of a liquid is increased, then rate of evaporation also increases, e.g. ironing of clothes.

3. Surface Area of Liquid: If the surface area of a liquid is increased, then the rate of evaporation increases, e.g. liquids spread over large areas evaporate more quickly.

4. Dryness of Air: If there is more dryness in the air, then the rate of evaporation increases, e.g. in humid weather, clothes take a longer time to dry.

5. Wind speed: If the wind speed is greater, then evaporation rate increases.

6. Air Pressure on the Surface of The Liquid: If the pressure on the surface of the liquid is increased, the rate of evaporation decreases.

Law of Heat Exchange:

For an isolated system comprising mixture of hot and cold substances, the heat lost by hot substances is equal to the heat gained by cold substances.
Heat lost by hot body = Heat gained by cold body

Refrigerator:

Introduction
A refrigerator is a device that is used to keep fruits, vegetables and other eatables cool.

Construction
A refrigerator consists of a compressor, condenser and evaporator.

Refrigerant
Freon is used as the refrigerant in a referigerator. This gas liquifies at normal temperature if the pressure is increased.

Working
1. Compression: Freon gas is first compressed in the compressor of a refrigerator. It is then fed into the condenser.

2. Condensation: In the condenser, the gas is liquified under pressure. It converts into a liquid at normal temperature. This gas is then allowed to pass through a valve into the evaporator.

3. Evaporation: The pressure in the evaporator is comparatively less than in the condenser. Therefore, when liquid Freon enters the evaporator, it evaporates absorbing a large amount of heat. This results in cooling the area around the evaporator. This is where we keep our eatables.
The gas is then again fed into the compressor and the process continues

Matter

Definition of Matter:

"Anything having mass and volume is called matter."

Kinetic Molecular Theory of Matter

The Kinetic Molecular Theory of Matter has the following postulates:
  • Matter is made up of very small particles called molecules.
  • These molecules are in the same state of motion, hence they possess kinetic energy. Their motion can be translatory, vibratory or rotational.
  • The molecules attract each other with a force. This force depends upon the distance between them. Force is inversely proportional to the distance between the molecules.
  • When a substance is heated its temperature as well as molecular motion increases. Due to this motion, kinetic energy also increases. we can say that when the kinetic energy of the molecules increases, then temperature of the substance rises.

Brownian Motion:

In 1827, a scientist, Robert Brown observed the motion of molecules with the help of a microscope. He observed that the tiny particles in water are constantly moving in a zigzag path. He called the motion, Brownian Motion.
Explanation
The cause of this tiny particle motion is the rapid motion of the molecules, which collide with the particles and push them in one direction. If some molecules come from other direction and collide with the same particles, particles change their direction. This process continues and the motion becomes zigzag.

States of Matter:

Matter has been classified into three states. These states are discussed below:

1.Solid

According to the kinetic theory of matter, solid has the least kinetic energy. The properties of solids are given below:
  • The particles are very close to each other.
  • Their shape and volume is fixed.
  • Particles in a solid vibrate to and fro from their mean position.
  • On heating they melt and convert into liquid.
  • Some solids also convert directly into gas on heating.

2. Liquid

According to the kinetic theory of matter, liquids have the following properties;
  • They have greater kinetic energy than solids but less than that of gases.
  • The volume of liquid is fixed.
  • They move more freely than solids.
  • The attraction between molecules is lower than solids.
  • The distance between the molecules is greater than that of solids.
  • On heating, they convert into vapours.
  • On cooling, they convert into solid.

3. Gas

According to the kinetic molecular theory, gases possess the following properties.
  • Gases possess more kinetic energy.
  • Their shape and volume are not fixed.
  • The distance between their molecules is large.
  • Their temperature is proportional to their kinetic energy.
  • Their temperature rises with increase in pressure.
  • On cooling, they convert into liquid and gases.

Elasticity:

Definition
" The tendency of a material to return to its original dimension after the deforming stress has been removed is known as elasticity."
If we apply a force to a body, it is stretched. When the applied force is remove, the body returns to its original shape. The phenomenon of turning back to its original shape is called Elasticity.

Elastic Behaviour and Molecular Theory
The elastic behaviour of a material can be explained by the Kinetic Theory of Matter. Since the molecules in a solid are very close to each other, there exist strong attracting forces between them. Thus when force is removed, the attraction forces between the molecules pull them back again and the material is restored to its original shape. Different material have different elasticity depending on the nature of the material.

Elastic Limit
The maximum resisting force of a material is called the Elastic Limit of that material.

Stress:

Definition
"When a body is made to change its length, volume or shape by the application of an external force, the opposing force per unit area is called Stress."

Formula
Stress = Force / Area
o = F/A (Here o represents (Rho) do not write in your examination paper)

Units
  • S.I or MKS System - N/m2 or Pascal (Pa)
  • C.G.S system - Dyne/cm2
  • F.P.S or B.E System - lb/ft2 and lb/in2
(Here 2 in all above systems shows square)

Types of Stress:

Following are some types of stress:
1. Tensile Stress: It is a stress tending to stretch a body.
2. Bulk Stress: It is an overall force per unit area, also known as pressure.
3. Shear Stress: It is a stress tending to produce an angular deformation.

Strain:

Definition
Stress can produce a change in shape, volume or length in an object. This change in the shape of an object is called strain.

Formula
Mathematically,
Strain = Change in Length/Length or Strain = Change in volume / volume

Units
Since strain is a ratio between two similar quantities, it has no unit.

Types of Strain:

Following are some types of strain.
1. Tensile Strain: It is a change in length divided by original length.
2. Bulk Strain: It is the change in volume divided by original volume.
3. Shear Strain: It is equal to the angular displacement produced.

Hook's Law:

Introduction
An English Physicist and Chemist Robert Hook discovered this law in 1678.

Statement
"Strain produced is proportional to the stress exerted within the elastic limit."

Elastic Limit
The point at which a material becomes plastic is called elastic limit on yield point.

Yield Point
the yield point is the point at which the material begins to flow. It is also the point between elastic region and plastic region.

Elastic Region
When the material obey's Hook's Law, it is said to be in Elastic Region.

Plastic Region
When stress is applied beyond the elastic limit, the graph is no longer a straight line. In this case stress produces a permanent change in the material. The material is said to be in its Plastic Region.

Breaking Point
The material breaks at a certain point called the Breaking Point of the material.

Young's Modulus:

Definition
"The ratio of the stress on a on a body to the longitudinal strain produced is called Young's Modulus."

Mathematical Expression
According to the definition of YOung's Modulus:
Young's Modulus = Sress / Longitudinal Strain

Unit
In S.I system, Young's Modulus is measured in N/m2.

Pressure:

Definition
"The perpendicular force per unit area acting on a surface is called pressure."

Mathematical Expression
Pressure = Force /Area
P = F/A

Unit
  • S.I or M.K.S System - N/m2 or Pascal.
  • C.G.S system - Dyne/cm2.
  • F.P.S or B.E System - lb/ft2 and lb/in2.

Pressure in Liquids:

In water or other liquids, the weight exerted on a body or the bottom of the liquid is its pressure.

Pascal's Principle:

Statement
When a pressure is applied to a liquid contained in a vessel, it is transmitted undiminished equally in all directions and acts perpendicularly to the walls of the container.

Applications - Hydraulic Press
Pascal's Principle has the application in Hydraulic press. In a hydraulic press a narrow cylinder A is connected with a wider cylinder B and they are fitted with airtight piston. It is filled with some incompressible liquid. Pressure can be applied by moving the piston cylinder A in the downward direction. Piston B is used to lift the object. The hydraulic press is provided with a rigid roof over it. When piston B moves upward, it compresses any material placed between the rigid roof and this piston. The hydraulic press is used for compressing soft materials like cotton into a cotton bale and powdered materials into compact solids.
(Diagram)

Pressure in Gases:

The kinetic theory enables us to account for the pressure a gas exerts on the walls of its container. When a moving molecule strikes the walls of its container, a force is exerted on the walls during hte impact.

Atmospheric Pressure:

The atmosphere, because of its weight exerts a pressure on the surface of the earth and on every object on the earth including human beings. The pressure is known as Atmospheric Pressure.
Applications of Atmospheric Pressure
The fact that the atmosphere exerts pressure has been put into use in several devices such as siphons, pumps and syringes.

Barometer:

Definition
"A device for measuring the atmospheric pressure is called Barometer."

Mercury Barometer
In the laboratory, the atmospheric pressure is measured by means of a mercury barometer. A mercury barometer consists of a thick walled glass tube of 1m length, which is opened at one end and closed from the other side. The tube is filled with mercury. The open end is firmly covered with a thumb and then carefully inverted in a vessel containing mercury. When the open end is completely immersed in the mercury, the thumb is removed. Some of the mercury from the columns drops in the vessel leaving a space. This space is called vacuum. If the mercury columns is measured, it is found to be 760 mm. This length always remains constant even if different diameter tubes are taken. The length of the mercury column is referred to as the atmospheric pressure.

Archimede's Principle:

Statement
"When an object is immersed in a liquid, an upward thrust acts upon it, which is equal to the weight of the liquid displaced by the object."

Mathematical Expression
Mathematically, Archimede's Principle may be represented by:
Apparent Weight = Actual Weight - Weight of the liquid displaced by the object

Buoyancy:

It is the tendency of an object to float. It is equal to the up-thrust or weight of the water displaced by the object.

Conditions for Floating Bodies
  • A body will float in a liquid or a gas if it displaces liquid or gas whose weight is greater than the weight of the body.
  • A body will sink if it displaces liquid or gas whose weight is less than the weight of the body.

Machines

Definitions:

1. Machine

A machine is a device by means of which useful work can be performed conveniently and it can also transfer one form of energy into another form of energy.

2. Mechanical Advantage

The ratio between the resistance or weight to the power applied in a machine is called the mechanical advantage of that machine. It is denoted by M.A.
M.A. = Weight over-comed by Machine/ Force Applied on the Machine

3. Efficiency

The ratio between the useful work done and the work done on the machine is called efficiency.
M.A = (output/Input) * 100

4. Input

Input is the work done on the machine.

5. Output

Output is useful work done by the machine.

Lever:

Definition
Lever is the simplest machine in the world. It is a rigid bar, which can be rotated about a fixed point.
Principle of Lever
In the lever the moment P acts opposite to that of work W. It means that force F tends to rotate the lever in one direction which the wight W rotates in opposite direction. If the magnitude of these moments acting in opposite direction is equal, then the lever will be in equilibrium. It means that:
Moment of P = Moment of W

Mechanical Advantage
We know that according to Principle of Lever:
Moment of P = Moment of W
=> Force * Force Arm = Weight * Weight Arm
P * AB = W X BC
AB/BC = W/P
Hence,
M.A = W/P = AB/BC = Weight Arm/ Force Arm

Kinds of Lever:

1. First Kind of Lever

In the first kind of lever, the fulcrum F is in the between the effort P and Weight W.

Examples
  • Physical Balance
  • Handle of Pump
  • Pair of Scissors
  • See Saw

2. Second Kind of Lever

In the second kind of lever, the weight W is in between the fulcrum F and effort P.

Examples
  • Door
  • Nut Cracker
  • Punching Machine

3. Third Kind of Lever

In the third kind of lever, the effortP is in between the fulcrum F and weight W.

Examples
  • Human forearm
  • Upper and Lower Jaws in the Mouth.
  • A Pair of Forecepes

Inclined Plane:

Definition
A heavy load can be lifted more easily by pulling it along a slope rather than by lifting in vertically. Such a slope is called an Inclined Plane.
Mechanical Advantage
M.A = W/P = l/h = Length of Inclined Plane/Perpendicular Height

Pulley:

A pulley consists of a wheel mounted on an axle that is fixed to the framework called the block. The wheel can rotate freely in the block. The groove in the circumference prevents the string from slipping.

Fixed Pulley:

If the block of the pulley is fixed then it is called a fixed pulley.

Mechanical Advantage of Fixed Pulley
In a fixed pulley, the force P is the applied force and weight W is lifted. If we neclect the force of friction then:
Load = Effort
In the given case:
Load = W * Load Arm
Load = W * OB
Also,
Effort = P * Effort Arm
Effort = P * OA
So,
W*OB = P*OA
=> W/P = OA/OB
But, OA = OB, then
M.A = W/P = OB/OB
M.A = 1

Moveable Pulley:

In this pulley, one end of the rope that is passing around the pulley is tied to a firm support and effort P is applied from its other end. The load and weight to be lifted is hung from the hook of block. In this system, the pulley can move. Such a pulley is called moveable pulley.
Mechanical Advantage of Moveable Pulley
In an ideal system of a moveable pulley, the tension in each segment of the rope is equal to the applied effort. As two segments support the weight, theffort acting on the weight W is 2P. Therefore, according to the principle of lever:
W * Radius of the Wheel = 2P * Radius of the Wheel
=> 2P = W
The Mechanical Advantage is given by:
M.A = W/P
M.A = 2P/P
=> M.A = 2
Hence, the mechanical advantage of a moveable pulley is 2.