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Zeroth Law of Thermodynamics and Absolute Temperature
 

Thermometers with liquid working fluids are usually used for measurement of temperature. When such a device is brought in contact with a body whose temperature is to be measured, the liquid column inside the thermometer expands due to heat conducted from the body. The expanded length can be said to represent the degree of hotness in a somewhat quantitative manner.  

The Zeroth Law of Thermodynamics states that if two bodies are in thermal equilibrium with a third body, then the two given bodies will be in thermal equilibrium with each other. The zeroth law of thermodynamics is used for measurement of temperature. In the Celsius temperature scale, two fixed points – ice point and steam point – are used to devise the scale. Thus, the freezing point of water (at standard atmospheric pressure) is assigned a value of zero, while the boiling point of pure water (at standard atmospheric pressure) denoted as 100.  However for introducing detail, the distance between the two end points of the liquid column marks is arbitrarily divided into 100 equal spaces called degrees. This exercise can be extended both below zero and above 100 to expand the range of the thermometer.  

The entire exercise can be carried out with any other substance as the thermometric fluid.However, for any specific measured temperature the extent of expansion of the liquid column will vary with the thermometric fluid as each fluid would expand to different extent under the influence of temperature. To overcome this problem, the ideal gas (see next section) has been arbitrarily chosen as the thermometric fluid. Accordingly, the temperature scale of the SI system is then described by the Kelvin unit (T0K). Its relation to the Celsius (t0 C) scale is given by: 

T( 0 K ) = 273.15 + t (0C )

Thus the lower limit of temperature, called absolute zero on the Kelvin scale, occurs at –273.150C.

The document Zeroth Law of Thermodynamics & Absolute Temperature | Thermodynamics - Mechanical Engineering is a part of the Mechanical Engineering Course Thermodynamics.
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FAQs on Zeroth Law of Thermodynamics & Absolute Temperature - Thermodynamics - Mechanical Engineering

1. What is the Zeroth Law of Thermodynamics?
Ans. The Zeroth Law of Thermodynamics states that if two systems are each in thermal equilibrium with a third system, then they are in thermal equilibrium with each other. This law establishes the concept of temperature and allows for the measurement of temperature using a common reference point.
2. How does the Zeroth Law relate to the concept of absolute temperature?
Ans. The Zeroth Law of Thermodynamics is closely related to the concept of absolute temperature. It states that if two systems are in thermal equilibrium, their temperatures are equal. This allows for the establishment of a temperature scale, known as the absolute temperature scale or Kelvin scale, where the lowest possible temperature is absolute zero (0 Kelvin or -273.15 degrees Celsius).
3. What is the significance of the Zeroth Law in thermodynamics?
Ans. The Zeroth Law of Thermodynamics is significant as it provides a foundation for the measurement and comparison of temperatures. It allows for the establishment of a common reference point, enabling the development of temperature scales. This law is fundamental in various thermodynamic calculations and principles, such as the calculation of heat transfer and the determination of thermal equilibrium.
4. How is the Zeroth Law applied in practical situations?
Ans. The Zeroth Law of Thermodynamics is applied in various practical situations. For example, it is used in medical thermometers to measure body temperature accurately. The Zeroth Law also plays a crucial role in the calibration of temperature measuring devices, ensuring their accuracy and reliability. Additionally, it is utilized in industrial processes to control temperature and maintain thermal equilibrium.
5. Can the Zeroth Law be violated or overridden in any circumstances?
Ans. The Zeroth Law of Thermodynamics is a fundamental principle that has been extensively tested and observed in various systems. It has not been found to be violated or overridden under normal circumstances. However, extreme conditions such as those involving quantum mechanics or black holes might challenge our understanding of this law. In general, the Zeroth Law is considered a robust principle that holds true in the vast majority of thermodynamic systems.
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