Transfer Of Thermal Energy



Conduction
The Concept of Conduction of Heat
Explain the concept of conduction of Heat
Conduction
is the transfer of heat  ener gy  through solids, for example, metals.  Generally solid
substances contain particles which are close together. Each particle vibrates at one position but
cannot move to another position.
Solid materials differ greatly in their ability to conduct HEAT.
Good and Bad Conductors of Heat
Identify good and bad Conductors of Heat
Solid materials differ greatly in their ability to conduct HEAT.
Good conductors
These are the substances which allows the passage of heat ener gy easily example all metals.
Metals  contain  tiny  particles  called  electrons  (particles  that  carry  electricity  through  metals)
which are free to move inside the metal and carry energy from hotter places to colder places.
Bad conductors
These are materials which does not allow the passage of heat and electricity e.g Non – metals,
woods.
GOOD CONDUCTOR  BAD CONDUCTOR
Silver
Glass
Aluminum
Wood
Brass
Asbestos
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Iron
Water
Copper
Air
Steel
How to Minimize Heat Losses due to Conduction
Explain how to minimise Heat losses due to Conduction
There are some simple ways to reduce heat loss, including fitting carpets, curtains and draught
excluders.
Heat loss through windows can be reduced using double glazing. The gap between the two panes
of glass is filled with air. Heat loss through conduction is reduced, as air is a poor conductor of
heat. Heat transfer by convection currents is also reduced by making the gap is very narrow.
Heat  loss  through  walls  can  be  reduced  using  cavity  wall  insulation.  This  involves  blowing
insulating an material into the gap between the brick and the inside wall, which reduces the heat
loss  by  conduction.  The  material  also  prevents  air  circulating  inside  the  cavity,  therefore
reducing heat loss by convection.
Knowledge of Conduction in Daily Life
Apply knowledge of conduction in daily life
The difference in conductivity of various materials can be demonstrated using Edser s apparatus
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The  apparatus  consists  of  copper  can  with identical  rods  of  aluminum,  copper,  lead  and  iron
fixed to the bottom of the can.
The  can  is  supported  by  a  metal  ring  which  is  clamped  to  a  retort  stand.  When  hot  water  is
poured inside the copper can, heat will be passed along the rods by conduction.
After some time, it will be  observed that wax coatedon the rods  will melt and move down the
rods. Note how far along the rods the wax has melted when the apparatus reaches a steady state.
This  indicates  that  the  materials  from  which  the  rods  are  made  have  different  thermal
conductivities. Of the four metal rods, the copper rod is observed to conduct heat more quickly
than the rest.
Conduction of Heat Energy through Liquids
All liquids expect mercury and gases are poor conductors of heat.
Gases are far worse conductors of heat than liquids.
Fluids are bad conductors of heat. They transfer heat by means of convection.
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Convection
The Concept of Convection of Heat
Explain the concept of convection of heat
Convection is the transfer of Heat through the fluids (Liquids or Gases)
Convection in Fluids in Terms of Kinetic Theory of Matter
Explain convection in fluids in terms of kinetic theory of matter
Convection currents are the curr ents of a liquid that move from the bottom to the top of the liquid
container when the liquid is heated.
The heated liquid  expands  and becomes less  denser and so can float upwards and  replaced  by
colder denser liquids that sinks.
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Convection in gases.
Convection air current occurs due to the unequal Heating of the Earth s atmosphere by the sum.
(Thus current called strong convection current).
How to Minimize Heat Losses due to Convection in Daily Life
Explain how to minimise heat losses due to convection to daily life
When you understand the effects of cold water on the body, and how the body responds, you are
far more prepared to make life-saving decisions, either for yourself or in a rescue situation.
It s  actually  quite  simple:  the  body  attempts  to  maintain  a  constant  core  temperature
(h
omeostasis
) through a balance of heat loss and heat gain. Body heat is normally gained through
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activities such  as  exercise and shivering, and also with  the application of external heat  sources
such as heat packs.
Convection is the process of air or water flowing by the skin and carr ying away body heat. It s
convective heat loss that you try to prevent by staying as still as possible in the water. Staying
still, the boundary layer of water next to the skin is heated by the body and remains undisturbed.
If  you  move  around in  the  water,  you  disrupt  that  boundary  layer  of  warmer  water,  and  that
increases heat loss.
Once a body has been in cold water for an extended period of time, most of the skin is cool with
little blood flow. However, there are critical areas that are lighter (warmer) than the surrounding
tissue.  This  is because  blood  is flowing through major  blood  vessels, which are near  the  skin
surface. These areas in  the neck, armpits and groin are areas of  high heat transfer. That means
that these areas have high heat loss in the cold but allow heat gain in the heat. This is why, in a
rescue scenario, the most effective rewarming often consists ofapplying external heat directly to
the armpits as well as the chest.
As a final note, it s important to realize that the activity of swimming (which is naturally thought
of as producing a heat GAIN), in cold water conditions will result in increasing the blood flow to
blood  vessels  close  to  the  skin,  and  because  of  conduction  and  convection,  it  can  actually
increase the rate of heat LOSS and expedite the onset of hypothermia.
Knowledge of Convection to Daily Life
Apply knowledge of convection to daily life
Domestic hot water system
Convection currents are used to circulate hot water from a boiler in a domestic hot water
system. The system consists of aboiler B, a hot water stor age tank, H and cold water supply tank
(cistern) C all connected by pipes.
When water is heated (electrically or by fire) at the button of the boiler, it expands  and
become less dense, and so rises to the top.
The hot water  in  the  boiler  passes  through  the  outlets at  the  top  of  the  boiler  into  the
upper part of the hot water storage tank.
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The lower portion of the storage tank is filled with cold water from the cistern, which is
high enough to drive the hot water out when the hot water tap T is open.
The cistern is fitted with a ball-cock which maintains the level of water in the cistern by
allowing water in when the level falls.
Radiation
The Concept of Radiation
Explain the concept of radiation
Radiation is  transfer of heat energy fr om one point to another without the  requirement of any
material medium.
The stars including the sum illuminate the world by radiation.
Radiant energy from the sun Reaches the Earth through the Vast empty space ?(vacuum) existing
between the atmosphere and the sun.
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This energy travels with the speed of light and has similar properties to light i.e. Radiant energy
can be reflected absorbed and Transmitted.
The body which absorbs radiant ener gy becomes heated up and its temperature rises.
Good Absorbers and Emitters of Radiant Heat
Identify good absorbers and emitters of radiant heat
Radiant energy can be detected by means of a thermopile.
Thermopile is an instrument which convents radiant energy ( radiant heat energy) into electrical
energy.
If the terminals of the thermocouple are connect to a galvanometer by connecting wires, a current
flows in the  galvanometer  G  when  the  thermopile  is directed  towards a hot body,  such  as an
electric lamp.
An increase in deflection of Galvanometer G is  observed when the current thought the electric
lamp is increased. Comparison of Radiant energy
The amount of Heat energy radiated by a body depends on:
1.
The Temperature of the body.
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2.
The Nature of surface the body.
3.
The surface area for the body
To  demonstrate  the fact  that the amount  of Heat energy  radiated  from  a body  depends  on the
nature and area of its surface (Leslie s cube) can be used.
The figure below shows Comparison son of Radiant energy from different – substance.
Leshe s cube  is a cube  –  shaped  metal Box  which  has Three  of  its  sides  painted  with
different colours e.g Green, Black and Grey.
One side is highly polished serve as a reflecting surface.
The cube is placed on a Turn table R and Maintained Hot by Running steam into it.
Thermopile, T connected to a galvanometer G is placed at a fixed distance from the cube
by Turning the Turn table.
The black  side  of the  cube  will  produce the largest  deflection  of the Galvanometer  G,
While the polished surface will produces the leats deflection.
The alternative demonstration of the absorption of radiant Heat by a surface can be per
formed by using two tiny plates and Ban sern burner.
Heat Losses due to Radiation
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Minimize heat losses due to radiation
The vacuum flask was designed by sir James Dewar for purpose of stoning condenser air in the
liquid state.
Now days used for keeping liquids hot over a period of Time. It would also keep liquids Cold for
a long time.
The vacuum flask consists of the double walled glass vessed with a vacuum between the walls.
The  walls  are  silvered  on  the  vacuum  side.  The  flask  controls  convection,  conduction  and
radiation of Heat energy.
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Convection is prevented by the vacuum space between the walls and by closing the flask at the
top.
Conduction is reduced by having the container made of glass, which is a bad conductor of heat.
The stopper is made of a bad conductor e.g. cork or rubber.
The vacuum is also a non – conducting space. The outer glass wall is supported by a pad of felt
or cork attached to a plastic case.
Radiation is minimized by the of silvered surfaces. The silvered surface reflects any Radiant heat
energy coming f rom the outside or inside the flank.
MEASUREMENT OF THERMAL ENERGY
Heat Capacity
Heat capacity
is the amount of
heat
required to raise the temperature of an object or substance
by one degree. The temperature change is the difference between the final temperatur e ( T
) and
f
the initial temperature ( T
).
i
The Factors which Determine Heat Quality of a Substance
Explain the factors which determine heat quality of a substance
Heat is a form  of energy  transferred between bodies due  to difference in temperature  between
them.  The  energy possessed  by the  body  due  to  its  temperature  is  called  the  internal  thermal
energy. The heat content is due to the random motion of the particles that make up the body. The
heat content is determined by its mass, temperature change and the specific heat capacity of the
substance.
The Heat Capacity
Determine the heat capacity
Heat capacity  is  the  quantity  of  heat  required  to  raise  the  temperature  of  a  substance by  one
degree Celsius.
Heat capacity = mass of the substance X specific heat capacity
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Thus H.C = MC
Also
Example 1
Find the heat capacity of a lump of copper of mass 50kg. The specific heat capacity of copper  is
420 J/ Kg ºc.
Data Given
Mass of copper, M= 50kg
The specific heat capacity of copper, C = 420J/KgºC
Required: To calculate heat capacity, H.C.
H.C = MC
= 50Kg x 420J/KgºC
= 21600J
=21KJ
Calculating a quantity of heat
The quantity of heat required to change the temperature of a body with mass, M Kg by Q
degree Celsius is MCQ joules.
In order to raise the temperature of a body, heat must be supplied to it.
In order to lower its temperature, heat must be removed from it.
The Heat Equation is therefore written:
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Heat Gained or Heat Lost = Mass X specific heat capacity X change in temperature
Change in temperature:
H =MCQ
Where
H=Heat gained / lost
M= Mass of the body
Q= change (Rise or fall) In Temperature of the body.
Example 2
Water of mass 3kg is  heated from 26ºc to 96ºC.  Find  the amount of heat supplied to the water
given that the specific heat capacity of water is 4.2 x 10
3
J / Kg ºc
Data Given
Mass of water, M = 3Kg
Specific Heat capacity, C = 4.2 X 10
3
j / Kgº C
Initial temperature, Qi= 26 ºC
Final Temperature, Qf = 96ºC
Required
The amount of heat, H
H= MCQ
C = H/MQ
H = MCQ
H = 3Kg x 4.2 x10
3
(96-26) ºC
C= 882000J= 882KJ
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The Specific Heat Capacity
Determine the specific heat capacity
Specific heat capacity is the quantity of heat required to raise the temperature of a unit mass of a
substance by one degree Celsius.
The quantity of heat supplied to or taken away from a body depends on:
1.
The mass of the body, M
The temperature different,  T
2.
3.
The thermal properties of the body.
Transfer of Heat
Heat energy tends to flow from High temper atures to Low temperatures
If you pick up a warm object, heat energy transfers from the object to your hands and your hands
feel warm. If you pick up a cool object, heat energy tr ansfers from hands to the object and your
hands feel cold.
Determining specific Heat capacity
Calorimeter – Is the special instrument or vessel used for measurement of Heat.
Calorimeter is highly polished metal can usually made of copper or aluminium.
It is flitted with an insulating cover in which there are two holes.
Two holes allow a thermometer and a stir rer to be inserted.
The stirrer is made of the same metal as that of the calorimeter.
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Demonstration of the specific Heat capacity of a solid
Determining specific Heat capacity by Method of Calculation.
Heat lost by solid, Hs = Ms x Cs (Qs – Qf)
Heat Gained by Calorimeterand stirrer, Hc = Mc x Cc (Qf – Qi)
Heat Gained by Water, HW = Mw x Cw (Qf – Qi)
But the heat lost by the solid is equal to heat gained by the calorimeter and stirrer plus the heat
gained by the water in the calorimeter.
Hs = Hc + Hw
But
Heat gained by a calorimeter and content equal to heat lost by the solid.
Thus Hc + Hl = Hs
Mc Cc (Qf – Qi) + Mi Ci ( Qf-Qi) = Ms Cs ( Qs-Qs)
Example 3
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A piece of metal with a mass of 200g at a temperature of 100ºC is quickly transferred into 50g of
water at 20ºC find  the  final temperature of  the  system (  specific Heat capacity  of water Cw =
4200J/ Kg ºC specific Heat capacity of the metal Cm = 400J/KgºC.
Ms Cs (Qs-Qf) = Mc Cc (Qf-Q) Mm Cw (Qf-Ql)
Where:
Cs. Is the specific Heat capacity of the solids.
Determining the specific heat capacity of liquid, Cl
By calculation method;
Heat Gained by calorimeter and stirrer
Hc = Mc Cc (Qf – Qi)
Heat Gained by liquid
Hi = M
C
(Qf – Qi)
L
L
Heat lost by the solid
Hs = Ms Cs ( Qs-Qf)
Let
Q be the final Temperature of the system
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If there are no heat Losses to the surroundings, then.
(Heat gained by water) = (Heat lost by metal)
210 (Q-20) = 80(100 – Q)
21(Q-20) = 8 (100-Q)
21Q – 420 = 800 – 8Q
21Q +8Q = (800+420)
29Q = 1220
Q = (1220/29)
Q = 42.1ºC
Change of State
Change  of  state  is  the  transformation  of   the  condition  of  matter  from  one  (state)  to  another
caused by the change In temperature.
The Behaviour of Particles of Matter by Applying Kinetic Theory
Explain the behaviour of particles of matter by applying kinetic theory
The kinetic theory  of matter (particle theory) says that all  matter  consists of many, ver y  small
particles which are constantly moving or in a continual state of motion. The degree to which the
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particles move is determined by the amount of energy they have and their relationship to other
particles.  The  particles  might  be  atoms,  molecules  or  ions.  Use  of  the  general  term  'particle'
means the precise nature of the particles does not have to be specified.
Particle  theory  helps  to  explain  properties  and  behaviour  of  materials  by  providing  a  model
which enable us to visualise what is happening on a very small scale inside those materials. As a
model, it is useful because it appears to explain many phenomena but as with all models it does
have limitations.
In solids the particles
In liquids the particles
In gases the particles
have little attraction between them
are held  tightly  and  packed
are  fairly  close  together  with
fairly  close  together  -  they  are
some attraction between them
are free to  move in all directions and
strongly attracted to each other
are able to  move around in  all
collide with each other and with the walls of a
o  are  in fixed  positions but
directions  but  movement is  limited by
container and are widely spaced out
they do vibrate
attractions between particles
Solids, liquids and gases
The model can be used to help explain:
1.
the properties of matter
2.
what happens during physical changes such as melting, boiling and evaporating
The properties of matter
Solids  Liquids  Gases
have a definite shape
do not have a definite shape
do not have a definite shape
maintain that shape
flow  and  fill  the  bottom  of  a
expand to fill any container
are  difficult  to  compress  as
container.  They  maintain  the  same  volume
are  easily  compressed
the  particles  are  already  packed
unless the temperature changes
because  there are only a few particles
closely together
are  difficult  to  compress  because
in a large volume
are  often  dense  as  there  are
there  are  quite  a  lot  of  particles  in  a  small
are often  low  density as there
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many particles packed closely together  volume
are not many particles in a large space
are  often  dense  because  there  are
quite a lot of particles in a small volume
The graph of temperature versus temperature for a Heated.
The Melting Point of a Substance from its Cooling Curve
Determine experimentally the melting point of a substance from its cooling curve
Melting
is the process of change of the state of matter from solid into liquid e.g ice into water.
Melting point (M.P): Itis the temperature at which solid substance tends to change into liquid.
Freezing: It is the process of change of the state of matter from liquid to solid e.g water into ice.
Freezing point: Is the temperature at which liquid change into solid. E.g water change into ice at
OºC.
Evaporation:Is the process of change liquid substance into vapour (gas)
Sublimation: It is the change of state of matter from solid to gas and vice versa without passing
through the liquid phase.e.g. ammonium Chlonde ( NH
CL) and Iodine tends to sublime.
4
Sublimation point is  the  temperature  at  which  a  solid tends to change  into  gas and  vice versa
without passing through liquid state.
Condensation:Is  the  change  of state  of  gaseous  state of  matter into  liquid  state.e.g steam into
water.
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Deposition: Is the change of the state matter from gas into solid. e.g. Ammonium chloride vapour
and Iodine vapour into solid (NH
CI) and (Iodine).
4
Demonstration of cooling and melting curves for (octadecanoic acid).
Melting point (m.p) table
Substance  Melting point (ºC)
Copper  1083
Glass  1000 – 1400
Iron  1450
Lead  327
Pitch  40 – 80
Mercury  - 39
Platinum  1775
Tin  232
Tungsten  3377
The  Effect  of  Impurities  on  the  Freezing  Point  and  the  Boiling  Point  of  a
Substance
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Demonstrate the effect of impurities on the freezing point and the boiling point of a substance
The effect of dissolved substances on the boiling point and melting point (M.P) means that the
additional of impurities will result in increased (B.P) and (M.P).
Effect of impurities on Boiling Point
When an impurity is added to  a substance its  boiling point  is elevated, i.e., its  boiling point  is
increased.
The  elevation  in  boiling  point  increases  with  increase  in  concentration  of  the  solute  because
when adding the solute vapour pressure of the solution becomes lower than pure solvent. Thus
the solution  has  to be heated more to make the vapour pressure equal to atmospheric pressure.
Thus the boiling point gets elevated.
For example boiling point of water is 100
o
C under normal atmospheric pressure. If we add sugar
or salt to this water its vapour pressure becomes lower and boiling point increases.
Generally, when  1 mole of  any non electrolyte is dissolved in  1 litre of  water the elevation  of
boiling point is 0.53
0
.
Effect of impurities on freezing point
When an impurity is added its freezing point is lowered i.e. its freezing point decreases.
The  depression  in  freezing  point  increases  with  the  increase  in  concentration  of  the  solute
because on  adding  the  solute the vapour  pressure of  solution  becomes lower  than  that of  pure
solvent.  Since  freezing  point  is  the  temperature  at  which  vapour  pressure  of  liquid  and  solid
phase are equal, therefore, for the solution, this will occur at a lower -temperatur e.
For example the freezing point of  water is  O
o
C under  normal atmospheric pressure. If we  add
sugar or salt to this water its vapour pressure lowers and freezing point decreases.
Generally, when 1 mole of any non-electrolyte is dissolved in 1 litre of water the depression in
freezing point of water is 1.86
0
C.
Conclusion
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1.
The impurities present in a liquid pull its two fixed points away from each other i.e. the
freezing point is lowered while the boiling point is raised.
2.
The depression in freezing point and the elevation in boiling point increases with increase
in the concentration of the solute or impurity i.e. these are the colligative properties that depends
only on the no. of moles of the solute. They are independent of the nature of the solute.
The Effect of Pressure on the Boiling Point and Freezing Point of a Substance
Demonstrate the effect of pressure on the boiling point and freezing point of a substance
If  a  substance  expands  on  solidifying,  e.g.,  water,  then  the  application  of  pressure  lowers  its
melting point.
If a substance contr acts on freezing, the pressure raises its melting point, e.g., paraffin wax.
The freezing point of water is lowered by 0 .007 ºC per atmosphere increase in pressure, whereas
that of paraffin wax increases by 0.04 ºC per atmosphere increase in pressure.
When a is liquid heated, its temperature rises and eventually remains constant.
Boiling is  the process  of forming bubbles  of  vapour inside the body of  a liquid.  It rises to the
surface of liquid. The process usually depends onexternal pressure above the liquid.
The Phenomenon of Regelation
Explain the phenomenon of regulation
Regelation is the Refreezing process which takes place when copper wire is passed through the
Ice BLOCK
Regelation is the Refreezing process which takes place when the wire is observed to Cuts right
through the ice block and falls on the floor.
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The Concept of Boiling and Evaporation in Respect to the Kinetic Theory of
Matter
Give the concept of boiling and evaporation in respect to the kinetic theory of matter
If a liquid is heated, the particles are given more energy and move faster and faster expanding the
liquid.  The  most  energetic  particles  at  the  surface  escape  from  the  surface  of  the  liquid  as  a
vapour  as  it  gets  warmer.  Liquids  evaporate  faster  as  they  heat  up  and  more  particles  have
enough  energy  to  break away.  The particles  need  energy  to  overcome  the  attractions  between
them. As the liquid gets warmer more particles have sufficient energy to escape from the liquid.
Eventually, even particles in the middle of the liquid form bubbles of gas in the liquid. At this
point the liquid is boiling and turning to gas. The particles in the gas are the same as they were in
the liquid except that theyhave more energy. At normal atmospheric pressure, all materials have
a  specific  temperature  at  which  boiling  occurs.  This  is  called  the  "boiling  point"  or  boiling
temperature. As with the melting point, the boiling point of materials vary widely, e.g., nitrogen -
210°C, alcohol 78°C, and aluminium 459°C.
Any material with a boiling temperature below 20°C is likely to be a  gas  at room temperature.
When liquids boil the particles must have sufficient energy to break away from the liquid and to
diffuse through the surrounding air particles. As these particles cool down and lose energy they
will  condense  and  turn  back  to liquid.  When  steam  is  formed  by  water  boiling  at  100°C  the
particles  quickly  condense  as  the  surrounding  air  temperature  is  likely  to  be  much  less  that
100°C so the particles cool rapidly. In fact the "steam" coming out of a boiling kettle can only be
seen because some of the gas particles have condensed to form small droplets of water.
Evaporating
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Within  a liquid some particles  have more energy than others. These "more energetic particles"
may  have  sufficient  energy  to  escape  from  the  surface  of  the  liquid  as  gas  or  vapour.  This
process is called evaporation and the result of evaporation is commonly observed when puddles
or  clothes  dry.  Evaporation  takes  place  at  room  temperature  which  is  often  well  below  the
boiling  point  of  the  liquid.  Evaporation  happens  from  the  surface  of  the  liquid.  As  the
temperature  increases,  the rate of  evaporation increases.  Evaporation  is also  assisted by  windy
conditions which help to remove the vapour particles from the liquid so that more escape.
Evaporation is a complex idea for  children for  a  number  of reasons.  The  process involves the
apparent disappearance of a liquid which makes the process difficult for them to understand. It is
not  easy  to  see  the  water  particles  in  the  air.  Also,  evaporation  occurs  in  a  number  of  quite
differing  situations  -  such  as  from  a  puddle  or  bowl  of  water  where  the  amount  of  liquid
obviously changes, to situations where the liquid is less obvious - such as clothes dr ying or even
those where there is no obvious liquid at all to  start with  - such as bread drying out. A further
complication is that evaporation may be of a solvent from a solution e.g. water evaporating from
salt water to leave salt. These situations are quite different yet all involve evaporation.
Evaporation may also involve liquids other than water e.g.  perfume, petrol, air fresheners. The
particle  model can be used  to  explain  how it  is possible to  detect smells  some  distance away
from the source.
Latent Heat of Fusion and Vaporisation
Demonstrate latent heat of fusion and vaporisation
Latent Heat  is the energy when is  supplied  in form of heat required  to change  the  state of the
Matter from one form into another.
Latent heat  is not determined  (detected) by  using  a thermometer. So  latent heat  is also called
hidden heat.
Specific latent Heat is the energy supplied to a unit Mass and change Its state from one state of
Matter to another state of matter.
Latent heat of Vaporization is the heat required to change a liquid into a gaseous state at constant
temperature.
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Mass of Beaker = M
kg
1
Mass of Beaker + Water = M
kg
2
Time taken to Boil =t
Minutes
1
Time taken to Boil away = t
Minutes
2
Specific latent heat of = L J / kg Vapor
Heat gained by steam = (M
M
)L
2 –
1
Generally
T
taken to evaporate
1 time
T2 time taken to boil
In this experiment , the Heat gained by the Beaker may be Neglected.
Latent heat of fusion is the amount of heat r equired to change a substance from solid to liquid at
constant temperature.
Example 4
Calculate the amount of Heat required to melts 800g of Ice at 0ºC The specific Latent of fusion
of Ice 33400J/kg
Data given:
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Mass of Ice , M = 800g (0.8kg)
Specific Heat of fusion, L = 33400 J/kg
Heat gained, H = ML
H= ( 0.8 x 33400J/ kg)
H = 267520J
Determination of the specific Latent Heat of fusion of Ice.
Mass of Calorimeter + stirrer = M
1
Mass of calorimeter +Water =M
2
Mass of Calorimeter +Water = M
3
Initial Temperatur e of Water = Q
1
Final temperature of Water =Q
f
Mass of Water = ( M
M
)
2 -
1
Mass of Ice = ( M
M
)
3 -
2
The  Ice  melts  and  forms  Water  at  0ºC  .The  Water  formed  warm  up  to  Temperature  Qf.Heat
gained by ice during melting at 0ºC = (M
- M
) L where L is the specific latent Heat of fussion.
3
2
Heat gained by the water formed = (M
- M
) C
Q
3
2
W
F
Where
CW is the specific heat capacity of water.
Heat lost by the original water in the calorimeter = (M
- M
) ( Q
- Q
) C
2
1
1
F
w.
heat lost by calorimeter and stirrer = M1 C
( Q
- Q
).
C
i
f
Cc is the specific heat capacity of the material of the calorimeter.
Applying the heat equation:
(Heat gained by ice in Melting + Heat gained by the Water formed) =(Heat lost by calorimeter
and stirrer + Heat lost by original Water)
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( M
- M
) L + (M3- M2) CW QF= M1 C
(Q
- Q
)+ (M2- M1 CW Q1 - QF)
3
2
C
1
F
Specific  Latent heat  of  Vaporisation is  the amount  of  heat required  to  change  a  unit  Mass  of
liquid into gaseous state ( Vapour) at constant temperature.
Specific  latent  Heat  of  fusion  is  the  amount  of  heat  required  to  change  a  unit  Mass  of  solid
substance into liquid at constant temperature
SUBSTANCE  SPECIFIC LATENT HEATOF FUSSION J/ kg
Ice  334400
Naphthalene  146300
Lead  24662
Copper  179740
Aluminum  317680
Gold  66880
Example 5
0.6 kg of ice at - 10ºC is dropped into 2kg of Water 49ºC contained in a Copper calorimeter of
mass 0. 15kg  . If the final temperature of the Mixture is 20ºC fin  d the  specific latent Heat of
fusion of ice.
Where
Specific Heat capacity of ice = 2.1 x 103 J/ KgºC
Specific Heat capacity of copper = 420 J/ Kg ºC
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Specific Heat Capacity of Water = 4200 j/ Kg º C
Solution
Heat gained by ice during warming up form - 10 ºC to 0ºC
= ( 0 . 6 ×2 . 1 X 103 ×10)
= 12600J
Heat gained when ice at 0ºC changes to water at 0ºC = 0.6L; where L is the latent heat of fusion
of ice
Heat gained by cold Water in warming up f rom 0ºC to 20ºC
=( 0 . 6 ×4 . 2 × 103 × 20)
=50400 J
Heat lost by Water during cooling from 49ºC to 20ºC
= 0 . 15 ×420 ×29
= 1827 J
But
Total Heat gained = Total Heat lost
12600 + 0.6 L + 50400 = 243600 + 1827
L = 245427 - 6300\ O.6
L = 304045J/ Kg
The Mechanism of Refrigeration
Describe the mechanism of refrigeration
Refrigerator is a machine which can enable Heat to flow from a cold Region to a Hot region.The
Basic principle used in Refrigeration is Cooling by absorption of latent Heat
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How it Works
A  volatile liquid  such  as  freon,  evaporates inside  the  copper  coils
A
surrounding  the  freezing
cabinet or the refrigeration.
The  latent  heat  of  Vaporization  comes  from  the  air  surrounding  the  coil  i.e.  from  the
inside of the freezing g cabinet
An  eclectically  driven  pump
P
remove  the  vapor  from
A
and  force  it  into  the  heat
exchanger
C, w
hich is made of copper coils.
The coils of the heat exchanger are filled with cool fins
F
In the heat exchanger, vapor is compressed by the pump and condensed back to liquid.
The  conversion  of  vapour  into  liquid  in  (c)  gives  out  the  latent  heat  of  vaporization,
which is conducted away by the fins.
The condensed liquid  is then returned to the  evaporator coil (A) through avalve  (V) (in
this way a continuous circulation of vapour and liquid is set up).
The rate of  evapor ation and  the  degree of cooling  is controlled by  a thermostat,  which
switches the pumps motor on and off at intervals.
The thermostat can be  adjusted to give the desir ed low  temperature inside the  freezing
cabinet where food is preserved.
118
 

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