The following points are to be discussed:
Temperature and heat
Measurement of temperature
Ideal-gas equation and absolute temperature
Thermal expansion
Specific heat capacity
Calorimetry
Change of state
Heat transfer
Newton’s law of cooling
CHAPTER -11
THERMAL PROPERTIES OF MATTER
LEARNING OBJECTIVES
2.2.1 Thermal expansion of solids, liquids and gases Core • Describe qualitatively the thermal expansion of solids, liquids, and gases at constant pressure • Identify and explain some of the everyday applications and consequences of thermal expansion 2.2.2 Measurement of temperature Core • Appreciate how a physical property that varies with temperature may be used for the measurement of temperature, and state examples of such properties • Recognise the need for and identify fixed points • Describe and explain the structure and action of liquid-in-glass thermometers | Supplement • Explain, in terms of the motion and arrangement of molecules, the relative order of the magnitude of the expansion of solids, liquids and gases Supplement • Demonstrate understanding of sensitivity, range and linearity • Describe the structure of a thermocouple and show understanding of its use as a thermometer for measuring high temperatures and those that vary rapidly • Describe and explain how the structure of a liquid-in-glass thermometer relates to its sensitivity, range and linearity |
Temperature and Heat
Kinetic theory – particles are constantly moving and have kinetic energy. The higher the temperature, the faster they move, so the more kinetic energy they contain.
Temperature and Heat
Kinetic theory – particles are constantly moving and have kinetic energy. The higher the temperature, the faster they move, so the more kinetic energy they contain.
Higher temperature
Lower temperature
Energy
Energy will flow from a hotter object to a colder one. Particles in the hot object will lose kinetic energy, whereas particles in the cold object will gain energy.
Temperature and Heat
Kinetic theory – particles are constantly moving and have kinetic energy. The higher the temperature, the faster they move, so the more kinetic energy they contain.
Higher temperature
Lower temperature
Energy
Energy will flow from a hotter object to a colder one. Particles in the hot object will lose kinetic energy, whereas particles in the cold object will gain energy.
Energy will continue to flow until both objects reach the same temperature. Objects at the same temperature will have the same average kinetic energy per particle.
Temperature and Heat
Are temperature and heat the same?
Temperature and Heat
Are temperature and heat the same?
No, because a spoonful of boiling water (100oC) will have less thermal (heat) energy ….
Temperature and Heat
Are temperature and heat the same?
No, because a spoonful of boiling water (100oC) will have less thermal (heat) energy ….
… than a beaker of boiling water (at the same temperature).
Thermal Expansion
http://www.bbc.co.uk/bitesize/ks3/science/images/expansion_solids.gif
When heated, solids (and liquids and gases) gain thermal energy. The particles start to move about more – their vibrations take up more space, so there is expansion in all directions. The opposite is true when the temperature falls – the material will get smaller (contract).
Thermal Expansion
http://www.bbc.co.uk/bitesize/ks3/science/images/expansion_solids.gif
When heated, solids (and liquids and gases) gain thermal energy. The particles start to move about more – their vibrations take up more space, so there is expansion in all directions. The opposite is true when the temperature falls – the material will get smaller (contract).
Material | Coefficient of expansion |
Glass | 8.5 |
Concrete | 12 |
Brass | 19 |
Steel | 11 |
Aluminium | 23 |
Liquids expand more when heated than solids.
Gases expand more when heated than liquids (depending upon P, V and T)
Thermal Expansion
- observing expansion
Cast iron peg
Steel bar
A strong steel bar is fixed within the apparatus frame by a large nut at one end and a cast iron peg at the other. When the bar is heated the cast iron peg snaps because of the huge force in the bar. It is also possible to make another peg break when the bar contracts on cooling by tightening the nut when the bar expands.
Thermal Expansion
- examples
Girders in buildings and bridges are made with gaps at the ends.
Glass to be used in cooking has to be a low expansion type such as Pyrex otherwise it would shatter as it got hot.
Rivets are heated before they are put in place to hold two metal plates together.
Thermal Expansion
- examples
Girders in buildings and bridges are made with gaps at the ends.
Glass to be used in cooking has to be a low expansion type such as Pyrex otherwise it would shatter as it got hot.
Rivets are heated before they are put in place to hold two metal plates together.
High-speed planes are warmed by air friction and so get longer.
Thermal Expansion
- examples
Girders in buildings and bridges are made with gaps at the ends.
Glass to be used in cooking has to be a low expansion type such as Pyrex otherwise it would shatter as it got hot.
Rivets are heated before they are put in place to hold two metal plates together.
High-speed planes are warmed by air friction and so get longer.
Bridges have gaps to allow for expansion. Rollers may be used at one end so that movement can take place.
rollers
Thermal Expansion
- examples
Girders in buildings and bridges are made with gaps at the ends.
Glass to be used in cooking has to be a low expansion type such as Pyrex otherwise it would shatter as it got hot.
Rivets are heated before they are put in place to hold two metal plates together.
High-speed planes are warmed by air friction and so get longer.
Suspended overhead cables are left slack to allow for contraction that could happen on a very cold day.
rollers
Bridges have gaps to allow for expansion. Rollers may be used at one end so that movement can take place.
Cold day
Hot day
Thermal Expansion
- applications
Thermometer
Mercury or alcohol
Expanding liquid
Calibration scale
As the temperature rises, the liquid in the bulb expands, and so rises up the narrow tube which is calibrated to fixed points (eg. 0oC, 100oC)
Thermal Expansion
- applications
Thermometer
Mercury or alcohol
Expanding liquid
Calibration scale
As the temperature rises, the liquid in the bulb expands, and so rises up the narrow tube which is calibrated to fixed points (eg. 0oC, 100oC)
Bimetallic strip
In a bimetallic strip, a low expansion metal (eg. Invar) is bonded to a high expansion metal (eg. Brass). As the strip is heated, the brass expands more than the invar, causing the strip to bend.
http://www.schoolphysics.co.uk/age11-14/Heat%20energy/Expansion/text/Expansion_of_solids/index.html
Thermal Expansion
- applications
Thermometer
Mercury or alcohol
Expanding liquid
Calibration scale
As the temperature rises, the liquid in the bulb expands, and so rises up the narrow tube which is calibrated to fixed points (eg. 0oC, 100oC)
Bimetallic strip
In a bimetallic strip, a low expansion metal (eg. Invar) is bonded to a high expansion metal (eg. Brass). As the strip is heated, the brass expands more than the invar, causing the strip to bend.
http://www.schoolphysics.co.uk/age11-14/Heat%20energy/Expansion/text/Expansion_of_solids/index.html
Bimetallic strips may be used in thermostats – devices for maintaining a steady temperature, such as in water heaters.
Thermal Expansion
… and the mystery of floating ice!
As hot water cools, so it contracts (gets smaller). However, as water freezes it actually expands as ice is formed. This expansion can be enough to split water pipes (and rocks).
Thermal Expansion
… and the mystery of floating ice!
As hot water cools, so it contracts (gets smaller). However, as water freezes it actually expands as ice is formed. This expansion can be enough to split water pipes (and rocks).
Why does this happen?
Thermal Expansion
… and the mystery of floating ice!
As hot water cools, so it contracts (gets smaller). However, as water freezes it actually expands as ice is formed. This expansion can be enough to split water pipes (and rocks).
Why does this happen?
In liquid water the water molecules are close together. In ice the water molecules link up in a very open structure that takes up more space than in the liquid.
Thermal Expansion
… and the mystery of floating ice!
The density of ice is lower than that of liquid water, and so ice floats on water. The open structure molecules start to form at about 4oC, just above the freezing point of water.
Water therefore expands very slightly between 4oC and 0oC.
Thermal Expansion and gases
So what is the relationship between gas pressure and temperature?
At constant volume!
Thermal Expansion and gases
So what is the relationship between gas pressure and temperature?
At constant volume!
http://www.passmyexams.co.uk/GCSE/physics/pressure-temperature-relationship-of-gas-pressure-law.html
Using the apparatus below, a fixed volume of gas is heated. At each temperature point, pressure is measured on the gauge. As the temperature of the gas increases, so does the pressure. Molecules are moving faster, so are hitting the side of the container with greater force.
Thermal Expansion and gases
So what is the relationship between gas pressure and temperature?
At constant volume!
http://www.passmyexams.co.uk/GCSE/physics/pressure-temperature-relationship-of-gas-pressure-law.html
Using the apparatus below, a fixed volume of gas is heated. At each temperature point, pressure is measured on the gauge. As the temperature of the gas increases, so does the pressure. Molecules are moving faster, so are hitting the side of the container with greater force.
If a graph is plotted of P against T, the graph is a straight line. If extended backwards, it cuts the temperature axis at
-273oC (absolute zero)
Thermal Expansion and gases
Absolute zero ….. Brrr!
If the temperature of a gas is reduced, the particles have less energy and move more slowly. Eventually, at a particular temperature, the particles stop moving completely. This temperature is the lowest possible temperature, and is known as absolute zero.
Thermal Expansion and gases
Absolute zero ….. Brrr!
If the temperature of a gas is reduced, the particles have less energy and move more slowly. Eventually, at a particular temperature, the particles stop moving completely. This temperature is the lowest possible temperature, and is known as absolute zero.
Absolute zero is -273oC. This is also known as zero kelvin, or 0 K. To convert from oC to K, just add 273.
Eg. Converting 120oC to kelvin, add 273.
273 + 120 = 393K
Thermal Expansion and gases
The pressure law
For a fixed mass of gas at constant volume, the pressure is directly proportional to the Kelvin temperature.
Thermal Expansion and gases
The pressure law
For a fixed mass of gas at constant volume, the pressure is directly proportional to the Kelvin temperature.
Thermal Expansion and gases
Charles’s law
Links together volume and temperature
Thermal Expansion and gases
Charles’s law
Links together volume and temperature
For a fixed mass of gas at constant pressure, the volume is directly proportional to the Kelvin temperature.
Thermal Expansion and gases
Charles’s law
Links together volume and temperature
For a fixed mass of gas at constant pressure, the volume is directly proportional to the Kelvin temperature.
Eg: a gas at constant pressure has a volume of 22 litres with a temperature of 280 K. What will the volume be if the temperature increases to 320 K?
Answer: V1 = V2 22 = V2
T1 = T2 280 320
V2 = 22 x 320 = 25.1 litres
280
Measuring temperature
Temperatures in everyday situations are usually measured in degrees Celsius (oC) – also referred to sometimes as the ‘centigrade scale’.
Measuring temperature
Temperatures in everyday situations are usually measured in degrees Celsius (oC) – also referred to sometimes as the ‘centigrade scale’.
Two fixed points
Measuring temperature
Temperatures in everyday situations are usually measured in degrees Celsius (oC) – also referred to sometimes as the ‘centigrade scale’.
Two fixed points
0oC, the freezing point of pure water.
Measuring temperature
Temperatures in everyday situations are usually measured in degrees Celsius (oC) – also referred to sometimes as the ‘centigrade scale’.
Two fixed points
0oC, the freezing point of pure water.
100oC, the boiling point of pure water.
Measuring temperature
Temperatures in everyday situations are usually measured in degrees Celsius (oC) – also referred to sometimes as the ‘centigrade scale’.
Two fixed points
0oC, the freezing point of pure water.
100oC, the boiling point of pure water.
Sun’s surface | 6000oC |
Bunsen flame | 1500oC |
Human body | 37oC |
Freezer food | -20oC |
Absolute zero | -273oC |
Measuring temperature
So how exactly is the thermometer calibrated?
Measuring temperature
So how exactly is the thermometer calibrated?
Lower fixed point, 0oC
http://jan.ucc.nau.edu/~jkn/235L2ppt1_files/slide0002_image002.gif
0 degrees Celsius is defined as the melting point of pure ice. Any impurities will affect the value obtained.
Measuring temperature
Lower fixed point, 0oC
http://jan.ucc.nau.edu/~jkn/235L2ppt1_files/slide0002_image002.gif
0 degrees Celsius is defined as the melting point of pure ice. Any impurities will affect the value obtained.
Upper fixed point, 100oC
http://jan.ucc.nau.edu/~jkn/235L2ppt1_files/slide0002_image002.gif
100 degrees Celsius is defined as the boiling point of pure ice. Boiling must be at standard atmospheric pressure.
So how exactly is the thermometer calibrated?
Measuring temperature
Lower fixed point, 0oC
http://jan.ucc.nau.edu/~jkn/235L2ppt1_files/slide0002_image002.gif
0 degrees Celsius is defined as the melting point of pure ice. Any impurities will affect the value obtained.
Upper fixed point, 100oC
http://jan.ucc.nau.edu/~jkn/235L2ppt1_files/slide0002_image002.gif
100 degrees Celsius is defined as the boiling point of pure ice. Boiling must be at standard atmospheric pressure.
Having fixed the 0oC and 100oC the rest of the scale is made by dividing the length into 100 equal divisions or degrees.
So how exactly is the thermometer calibrated?
Measuring temperature
Lower fixed point, 0oC
http://jan.ucc.nau.edu/~jkn/235L2ppt1_files/slide0002_image002.gif
0 degrees Celsius is defined as the melting point of pure ice. Any impurities will affect the value obtained.
Upper fixed point, 100oC
http://jan.ucc.nau.edu/~jkn/235L2ppt1_files/slide0002_image002.gif
100 degrees Celsius is defined as the boiling point of pure ice. Boiling must be at standard atmospheric pressure.
Having fixed the 0oC and 100oC the rest of the scale is made by dividing the length into 100 equal divisions or degrees.
If the scale is divided up into equal divisions then it is known as a linear scale.
So how exactly is the thermometer calibrated?
Measuring temperature
Features of liquid-in-glass thermometers
Measuring temperature
Features of liquid-in-glass thermometers
Most liquids expand slightly when heated. This property is put to use in thermometers filled with alcohol or mercury.
Measuring temperature
Features of liquid-in-glass thermometers
Most liquids expand slightly when heated. This property is put to use in thermometers filled with alcohol or mercury.
Sensitivity.
- The narrower the tube, the more the liquid inside moves, making the thermometer more sensitive to changes in temperature. Alcohol expands more than mercury, so a mercury thermometer must have a narrower tube than an alcohol one.
At any given temperature same increase in volume of liquid alcohol.
Measuring temperature
Features of liquid-in-glass thermometers
Most liquids expand slightly when heated. This property is put to use in thermometers filled with alcohol or mercury.
Sensitivity.
- The narrower the tube, the more the liquid inside moves, making the thermometer more sensitive to changes in temperature. Alcohol expands more than mercury, so a mercury thermometer must have a narrower tube than an alcohol one.
At any given temperature same increase in volume of liquid alcohol.
Range – mercury has a freezing point of -39oC and a boiling point of 356oC. Alcohol freezes at -115oC, but boils at 78oC.
Measuring temperature
Features of liquid-in-glass thermometers
Most liquids expand slightly when heated. This property is put to use in thermometers filled with alcohol or mercury.
Sensitivity.
- The narrower the tube, the more the liquid inside moves, making the thermometer more sensitive to changes in temperature. Alcohol expands more than mercury, so a mercury thermometer must have a narrower tube than an alcohol one.
At any given temperature same increase in volume of liquid alcohol.
Range – mercury has a freezing point of -39oC and a boiling point of 356oC. Alcohol freezes at -115oC, but boils at 78oC.
Responsiveness – thermometers with large bulbs or thicker glass around the bulb respond less quickly to changes in temperature.
Measuring temperature
Features of liquid-in-glass thermometers
Most liquids expand slightly when heated. This property is put to use in thermometers filled with alcohol or mercury.
Sensitivity.
- The narrower the tube, the more the liquid inside moves, making the thermometer more sensitive to changes in temperature. Alcohol expands more than mercury, so a mercury thermometer must have a narrower tube than an alcohol one.
At any given temperature same increase in volume of liquid alcohol.
Range – mercury has a freezing point of -39oC and a boiling point of 356oC. Alcohol freezes at -115oC, but boils at 78oC.
Responsiveness – thermometers with large bulbs or thicker glass around the bulb respond less quickly to changes in temperature.
Linearity – the expansion of mercury is not quite linear compared with alcohol – they differ slightly, but these differences are not significant between 0oC and 100oC.
Measuring temperature
- Examples of thermometers
Clinical thermometer.
- Measures human temperatures very accurately. Scale is restricted to a few degrees either side of the normal body temperature (37oC). A restriction in the neck stops the mercury from dropping until the reading is taken.
Measuring temperature
- Examples of thermometers
Clinical thermometer.
- Measures human temperatures very accurately. Scale is restricted to a few degrees either side of the normal body temperature (37oC). A restriction in the neck stops the mercury from dropping until the reading is taken.
Digital Clinical thermometer.
- Contains a thermistor inside the probe. As the temperature rises the thermistor becomes a much better conductor, causing a higher current to flow, and so a higher reading on the meter.
Measuring temperature
- Examples of thermometers
Thermocouple thermometer.
- Two different metals are joined together to form two junctions in the probe. A temperature difference between the two junctions causes a tiny voltage, resulting in the flow of current. The greater the temperature difference between the two junctions, the bigger the current.
http://www.omega.com/pptst/HH11B.html
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