Temperature Scales (Copy)
Measuring Temperature with Physical Properties
- Temperature is a physical quantity that indicates the thermal state of a body — whether it will gain or lose heat when in contact with another body.
- Since temperature cannot be measured directly, we rely on temperature-dependent physical properties.
A suitable physical property for temperature measurement must:
- Vary continuously with temperature
- Be measurable and reproducible
- Be independent of other unrelated variables (as much as possible)
Examples of Physical Properties Used for Thermometry
| Physical Property | How It Varies With Temperature | Used In |
|---|---|---|
| Density of a liquid | Decreases as temperature increases | Liquid-in-glass thermometers (e.g. mercury) |
| Volume of a gas at constant pressure | Increases with temperature (Charles’s Law) | Gas thermometers |
| Electrical resistance of a metal | Increases with temperature (in most metals) | Resistance thermometers (e.g. platinum) |
| Electromotive force (e.m.f.) | Changes with temperature difference between junctions | Thermocouples |
- These properties are used to calibrate and construct thermometers, such as:
- Mercury-in-glass thermometer
- Thermistor (temperature-sensitive resistor)
- Thermocouple thermometer
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Physics Full Scale Course
Thermodynamic Temperature Scale
- The thermodynamic (Kelvin) temperature scale is based on fundamental physical laws (e.g. ideal gas laws) and not on the properties of any specific substance.
Key Properties:
- Independent of the physical properties of materials
- Defined using absolute zero and the triple point of water
- Used in scientific thermodynamics and gas law calculations
- Thermodynamic temperature (T) is measured in kelvin (K)
- Absolute zero = 0 K is the lowest possible temperature, where:
- Molecular motion theoretically stops
- Internal energy is at its minimum
Conversion Between Celsius and Kelvin
- The Celsius scale (°C) is based on:
- 0 °C = freezing point of water
- 100 °C = boiling point of water (at 1 atm)
- The Kelvin scale (K) is an absolute scale:
- Begins at absolute zero
- One degree on Kelvin scale is equal in size to one degree Celsius
Conversion Formula:
T/K = θ/°C + 273.15
- Examples:
- 0 °C = 273.15 K
- 100 °C = 373.15 K
- –273.15 °C = 0 K (absolute zero)
Understanding Absolute Zero (0 K)
- Absolute zero is the zero point of the thermodynamic temperature scale.
- At absolute zero:
- Particles have minimum internal energy
- Molecular motion approaches zero
- It is not attainable in practice, but is a theoretical limit
- Absolute zero provides:
- The baseline for the Kelvin scale
- A reference for calculating thermal energy, entropy, and ideal gas behaviour
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Physics Full Scale Course
Comparison Between Celsius and Kelvin Scales
| Feature | Celsius (°C) | Kelvin (K) |
|---|---|---|
| Zero Point | 0 °C (freezing point of water) | 0 K (absolute zero) |
| Degree Size | 1 °C | 1 K |
| Reference Points | Water freezes at 0 °C, boils at 100 °C | Absolute zero at 0 K, triple point of water at 273.16 K |
| Relative or Absolute | Relative | Absolute |
| Can have negative values? | Yes | No |
Thermometers and Their Calibration
- Primary thermometers are based on physical laws and do not require calibration (e.g. constant volume gas thermometer)
- Secondary thermometers require calibration using fixed reference points such as:
- Ice point (0 °C)
- Steam point (100 °C)
- Triple point of water (273.16 K)
- Modern thermometers often use:
- Electronic sensors (e.g. thermistors)
- Infrared detectors for non-contact temperature measurement
Practical Uses of Kelvin Scale
- Ideal Gas Law calculations: PV = nRT → T must be in Kelvin
- Thermodynamics and entropy calculations
- Astrophysics: measuring cosmic background temperature (~2.73 K)
- Low temperature physics: study of superconductivity, Bose–Einstein condensation
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Physics Full Scale Course
Common Questions and Clarifications
Q1: Why can’t temperature be measured directly?
Because it is not a physical substance — we measure properties (like resistance or expansion) that change with temperature.
Q2: Why is Kelvin used in science instead of Celsius?
Because Kelvin is absolute and avoids negative temperatures, making it consistent with thermodynamic laws.
Q3: Can something have a temperature below 0 K?
No. 0 K is the lowest theoretical temperature possible. Temperatures below that are not physically meaningful.
Summary Table
| Concept | Description |
|---|---|
| Physical property for thermometry | Any measurable quantity that changes with temperature |
| Examples | Resistance, volume, density, thermocouple e.m.f. |
| Thermodynamic temperature (T) | Absolute scale, based on physics laws, not specific substances |
| Conversion formula | T/K = θ/°C + 273.15 |
| Absolute zero | 0 K, lowest theoretical temperature |
| Kelvin unit | SI unit of temperature |
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Physics Full Scale Course
