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THERMOMETRY
▢ Introduction:
Table 1: Thermometry Basics
Term | Meaning |
|---|---|
Thermometry | Measurement of temperature |
Thermometer | Device used to measure temperature of a body |
Principle | Thermal equilibrium |
Thermometric property | Measurable property sensitive to temperature change |
Examples of thermometric properties | Volume, pressure, resistance, thermoelectric emf, radiation intensity, magnetic susceptibility |
▢ Heat and Temperature:
Table 1: Heat vs Temperature
Feature | Heat | Temperature |
|---|---|---|
Meaning | Form of energy | Degree of hotness or coldness |
Molecular basis | Total sum of kinetic energy | Average translational kinetic energy |
Depends on mass | Yes | No |
Flow | Flows due to temperature difference | Does not flow |
Origin | Molecular vibration | Thermal state of body |
▢ Thermal Equilibrium:
❖ Definition: Two bodies are in thermal equilibrium when no heat flows from one body to another
❖ Condition: Same temperature
❖ Thermometry Basis: Temperature measurement is based on thermal equilibrium
▢ Cryogenics and Pyrometry:
Table 1: Temperature Ranges
Term | Meaning |
|---|---|
Cryogenics | Production and measurement of very low temperature below 77 K |
Pyrometry | Production and measurement of very high temperature above 1000 K |
▢ Types of Thermometers by Thermometric Substance:
Table 1: Thermometer Classification
Type | Examples / Points |
|---|---|
Solid thermometers | Platinum resistance thermometer, radiation pyrometer, magnetic thermometer, thermoelectric thermometer |
Liquid thermometers | Mercury thermometer, alcohol thermometer |
Gas thermometers | Constant volume gas thermometer, constant pressure gas thermometer, vapour pressure thermometer |
❖ Liquid Thermometric Substance Properties:
- •Low specific heat
- •High thermal conductivity
- •Constant coefficient of expansion over large temperature range
❖ Why Mercury is Preferred:
- •Large and uniform expansion
- •High thermal conductivity
- •Low specific heat
❖ Gas Thermometer Sensitivity: Gas thermometers are more sensitive than liquid and solid thermometers because expansion of gases is greater
▢ Temperature Scales:
Table 1: Common Temperature Scales
Scale | Symbol | LFP | UFP | No. of divisions |
|---|---|---|---|---|
Celsius | °C | 0°C | 100°C | 100 |
Fahrenheit | °F | 32°F | 212°F | 180 |
Kelvin | K | 273.15 K | 373.15 K | 100 |
Reaumur | °R | 0°R | 80°R | 80 |
Rankine | °Rn | 492°Rn | 672°Rn | 180 |
❖ Conversion Formula:
❖ Temperature Difference Relation:
❖ Absolute Zero:
▢ Types of Thermometers:
Table 1: Thermometers: Principle, Formula and Range
Thermometer | Thermometric substance | Measurable quantity | Principle | Formula | Range |
|---|---|---|---|---|---|
Mercury thermometer | Mercury | Change in volume/length | Thermal expansion of liquid | -35°C to 357°C | |
Alcohol thermometer | Alcohol | Change in length | Thermal expansion of liquid | -110°C to 76°C | |
Constant volume gas thermometer | Hydrogen / helium / nitrogen | Pressure | -268°C to 1500°C | ||
Constant pressure gas thermometer | Gas | Volume | -268°C to 500°C | ||
Platinum resistance thermometer | Platinum | Resistance | Resistance of metal varies with temperature / Wheatstone bridge | -200°C to 1200°C | |
Thermoelectric thermometer | Thermocouple | Thermo-emf | Seebeck effect | -200°C to 1600°C | |
Total radiation pyrometer | Radiating body | Intensity of radiation | Stefan's law | 800°C to 4000°C | |
Vapour pressure thermometer | Liquid vapour / helium | Saturated vapour pressure | Vapour pressure depends on temperature | 0.71 K to 122 K | |
Magnetic thermometer | Ferromagnetic substance | — | Below 1 K |
▢ Liquid Thermometers:
❖ Mercury Thermometer:
- •Based on thermal expansion of mercury
- •Cannot measure much above 350°C because mercury starts vaporizing
- •Can measure up to 500°C if nitrogen gas at high pressure is filled above mercury column
- •Mercury has low specific heat and high conductivity
❖ Alcohol Thermometer:
- •More sensitive than mercury thermometer
- •Alcohol expands about seven times more than mercury
- •Greater expansion gives better accuracy
- •Useful for low temperature measurement
❖ Bulb Shape: Liquid thermometers with cylindrical bulbs are more sensitive than spherical bulbs because cylindrical bulbs have larger surface area
▢ Gas Thermometers:
❖ Key Points:
- •Most sensitive thermometer
- •Standard thermometer
- •Used to calibrate other thermometers
- •Constant volume gas thermometer measures temperature most accurately
❖ Constant Volume Gas Thermometer:
- •For constant volume gas thermometer, gas should be at high temperature and low pressure
- •Hydrogen cannot be used above 500°C because it starts diffusing
▢ Resistance Thermometer:
Table 1: Platinum Resistance Thermometer
Point | Description |
|---|---|
Principle | Resistance of metal changes with temperature |
Formula | |
Temperature coefficient | High and positive |
Accuracy | Most accurate thermometer of lower range except gas thermometer |
Use | Measures temperature inside motor engine |
▢ Thermoelectric Thermometer:
Table 1: Thermoelectric Thermometer
Point | Description |
|---|---|
Thermometric substance | Thermocouple |
Principle | Seebeck effect |
Thermometric quantity | Thermo-emf |
Formula | |
Use | Rapidly changing temperature |
▢ Radiation Pyrometer:
Table 1: Total Radiation Pyrometer
Point | Description |
|---|---|
Principle | Stefan's law |
Formula | |
Use | Very high temperature measurement |
▢ Special Thermometers:
Table 1: Special Thermometers
Thermometer | Use |
|---|---|
Six's thermometer | Measures minimum and maximum temperature simultaneously |
Beckmann's thermometer | Measures boiling point / small temperature difference accurately |
Magnetic thermometer | Measures temperature below 1 K |
Radiation pyrometer | Measures very high temperature |
▢ Common Readings of Scales:
Table 1: Common Temperature Readings
Scales | Common reading |
|---|---|
Celsius and Fahrenheit | -40° |
Celsius and Reaumur | 0° |
Fahrenheit and Reaumur | -25.6° |
Celsius and Kelvin | Never common |
Fahrenheit and Rankine | Never common |
▢ Effect of Scale on Specific Heat:
❖ Point: If temperature scale is changed from °C to °F, numerical value of specific heat decreases
❖ Reason:
▢ Read and Digest:
Table 1: Important Thermometry Points
Fact | Answer |
|---|---|
Celsius-Fahrenheit common reading | |
Celsius-Reaumur common reading | |
Fahrenheit-Reaumur common reading | |
Kelvin scale | No negative temperature |
Absolute zero | |
Most accurate temperature measurement | Constant volume gas thermometer |
Gas thermometer | Standard thermometer |
Mercury thermometer upper limit | 357°C |
Mercury thermometer with high-pressure nitrogen | Can measure up to about 500°C |
Alcohol thermometer sensitivity | More sensitive than mercury |
Alcohol expansion | About 7 times mercury |
Hydrogen above 500°C | Cannot be used because it diffuses |
Six's thermometer | Maximum and minimum temperature |
Beckmann's thermometer | Boiling point / small temperature difference |
▢ High-Yield Recall:
Table 1: Thermometry One-Liners
Fact | Answer |
|---|---|
Thermometry | Measurement of temperature |
Thermometer | Measures temperature |
Temperature measurement principle | Thermal equilibrium |
Heat | Form of energy |
Temperature | Degree of hotness or coldness |
Cryogenics | Temperature below 77 K |
Pyrometry | Temperature above 1000 K |
Thermal equilibrium | No heat flow between bodies |
Celsius LFP-UFP | 0°C to 100°C |
Fahrenheit LFP-UFP | 32°F to 212°F |
Kelvin LFP-UFP | 273.15 K to 373.15 K |
Reaumur LFP-UFP | 0°R to 80°R |
Rankine LFP-UFP | 492°Rn to 672°Rn |
Temperature difference relation | |
Mercury thermometer principle | Thermal expansion of mercury |
Alcohol thermometer range | -110°C to 76°C |
Mercury thermometer range | -35°C to 357°C |
Constant volume gas thermometer principle | |
Constant pressure gas thermometer principle | |
Platinum resistance thermometer principle | Resistance varies with temperature |
Thermoelectric thermometer principle | Seebeck effect |
Radiation pyrometer principle | Stefan's law |
Vapour pressure thermometer | Saturated vapour pressure depends on temperature |
Magnetic thermometer principle | Curie's law |
Celsius-Fahrenheit common point | -40° |
Kelvin negative temperature | Not possible |
Most sensitive thermometer | Gas thermometer |
Very high temperature thermometer | Radiation pyrometer |
Below 1 K thermometer | Magnetic thermometer |
Q1.
Thermometer used to measure very low temperature is
📅CEE MBBS 2025
Q2.
The absolute zero is the temperature at which:
📅CEE Nursing 2024
Q3.
If two temperature scales are dipped in a hot bath and the reading in Fahrenheit scale is 3 times the Celsius scale, the temperature of the hot bath is:
📅CEE MBBS 2024a
Q4.
📅BP 2012
Q5.
📅MOE 2009
Q6.
📅IOM 2012
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📅IOM 2014
Q8.
For a constant-volume gas thermometer, the gas should ideally be at:
📅KU 2012
Q9.
📅KU 2010
Q10.
Which of the following best represents the approximate temperature range permitted by liquid mercury in an ordinary mercury-in-glass thermometer?
📅IOM 04•KU 2010
Q11.
📅IOM 2000•KU 2017
Q12.
What is the exact Celsius value of absolute zero?
📅IOM 96
Q13.
Hailstones are formed mainly by:
📅IOM 1995
Q14.
Approximately what is the maximum temperature measurable by an ordinary mercury-in-glass thermometer at atmospheric pressure?
📅BPKIHS-08
Q15.
📅BPKIHS-97
Q16.
At what temperature do the Celsius and Fahrenheit scales have the same numerical reading?
📅BP 2010•MOE 2012
Q17.
At a certain temperature, the Fahrenheit reading is three times the Celsius reading. Find the Celsius temperature.
Q18.
Which temperature scale has no negative thermodynamic temperatures for ordinary equilibrium systems?
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