Thermodynamic temperature

Thermodynamic temperature is a measurement of the average kinetic energy of particles (atoms or molecules) in a system, and it is related to the absolute temperature scale, which is measured in Kelvin (K). It is a fundamental thermodynamic property that is used to characterize the behavior of materials and systems under different situations.

Temperature is defined in thermodynamics as the quantity that is proportional to the internal energy of a system in equilibrium. The Kelvin scale is the most generally used scale for measuring thermodynamic temperature. It is defined so that absolute zero (the theoretical temperature at which all matter has zero entropy) equates to 0 Kelvin (K). Because it has no negative values, the Kelvin scale is sometimes known as the absolute temperature scale.

 

Thermodynamic temperature is used in numerous areas of research and engineering, including physics, chemistry, materials science, and thermodynamics. It is a fundamental factor for understanding and predicting the behavior of many natural and man-made systems, including as gases, liquids, and solids, and it plays an important role in the development of many technologies, such as refrigeration, power production, and materials processing.

Figure1. outer space

What is the temperature of outer space when there is just one hydrogen atom per cubic meter, can a single atom be hot or cold, Does it even have a temperature? It sounds odd to assert an atom is 27 degrees Fahrenheit, but temperature is a measure of a motion of an energy.

Figure2. Melting of ice

If an atom is stationary, its temperature is 0 Kelvin. Temperatures rise at a small fraction of a degree above absolute zero, and the atom is now travelling at about one centimeter per second. Energy is commonly measured in MeV or GeV for subatomic particles. An electron with 1 GeV of energy is moving at a speed close to light, which equates to a temperature of 11,000 billion Kelvin for a group of atoms or molecules.

The temperature of the collection, like a gas or crystal lattice, is just an average temperature of the group, but because of collisions and interactions at the molecular level, a group of atoms or molecules will distribute the total motion energy pretty evenly among the individuals in the collection, and if two or more systems are brought together, some motion energies from the hotter system will flow to the colder system until they are both at the same temperature.

When you use a thermometer to measure your body temperature, your body cools slightly and the thermometer heats up until the two are at the same temperature, at which point reading the thermometer's temperature also exposes your body temperature because the two are the same.

                              Figure3. gas in container

When we put a quantity of gas in a container, the individual molecules in the gas constantly bang with the container's walls, putting pressure on the walls. We can increase the number of wall collisions in three ways: increasing the number of atoms in the container by adding more gas, increasing the motion of energy of the atoms already in the container by heating the gas, which causes them to move faster and increases the number of times each atom hits the wall or we can make the container smaller by decreasing the volume so that the individual atoms have shorter distances to collide with the wall.

 this leads directly to the ideal gas law relating temperature and volume pressure and quantity of gas snuck that one in Anya

  

Thermodynamic Temperature Equation

PV=nRT

Were,

P=pressure

V=volume

n=number of mole of gas

R=gas constant

T=thermodynamic temperature in kelvin

This equation shows the relationship between an ideal gas’s pressure, volume, and temperature and can be used to predict the behavior of gases under different situation.

 

Another important equation for thermodynamic temperature is the Boltzmann distribution law:

f(E) = (1/Z) * exp(-E/kT)

were,

f(E)=probability density function of the energy levels of a system

Z=partition density (a measure of the total energy of the system

K= Boltzmann constant

T=thermodynamic temperature

 

This equation describes the distribution of energy levels in a system of particles, and can be used to predict the behavior of systems at the atomic or molecular scale, such as in chemical reactions and in the study of materials.

 Practical application for thermodynamic temperature

Thermodynamic temperature is an important concept in thermodynamics with various practical applications. Here are a couple such examples:

1.     Cooking: Thermodynamic temperature is used in cooking to measure the temperature of the oven or stovetop. It is also used to measure the temperature of food while it is cooking to ensure proper cooking and to prevent contaminated infections.

2.      Automobile industry: Thermodynamic temperature is used in the automotive sector to measure the temperature of the engine, transmission, and other components. This ensures that the engine is operating within safe temperature limits and that any potential issues are identified before they become severe difficulties.

3.      Aerospace industry: In the aerospace industry, thermodynamic temperature is used to measure the temperature of the engines and other components of aircraft and spacecraft. This helps to ensure that the aircraft is operating within safe temperature limits and to prevent failures due to overheating.

4.     Medical applications: Thermodynamic temperature is used in medicine to measure body temperature, which is an important indicator of good health. It is also used to check the temperature of medical equipment to ensure that it is safe and effective.

Overall, thermodynamic temperature has numerous practical applications in engineering, physics, chemistry, and medicine.

 Reference 

1.Fischer, J., De Podesta, M., Hill, K. D., Moldover, M., Pitre, L., Rusby, R., ... & Wolber, L. (2011). present estimates of the differences between thermodynamic temperatures and the ITS-     90. International Journal of Thermophysics, 32, 12-25

2.Keizer, J. (1985). Heat, work, and the thermodynamic temperature at nonequilibrium steady states. 

            the Journal of chemical physics, 82(6), 2751-2771.

3.Moldover, M. R., Gavioso, R. M., Mehl, J. B., Pitre, L., de Podesta, M., & Zhang, J. T. (2014).

            Acoustic gas thermometry. Metrologia, 51(1), R1.

4.Nettleton, R. E. (1994). On the relation between thermodynamic temperature and kinetic energy per        particle. Canadian journal of physics, 72(3-4), 106-112.

5.Sagan,C. [BestOfScience]. (2009, Aug 14). Thermodynamic Temperature[video]. YouTube.                http://www.cassiopeiaproject.com

(Sagan, 2009)

               (Sagan, 2009, 3:59)

6.Woolliams, E. R., Anhalt, K., Ballico, M., Bloembergen, P., Bourson, F., Briaudeau, S., ... & Yuan, Z.           (2016). Thermodynamic temperature assignment to the point of inflection of the melting curve of       high-temperature fixed points. Philosophical Transactions of the Royal Society A: Mathematical,           physical and Engineering Sciences, 374(2064), 20150044.