Why Is Empirical Temperature Defined Using Constant Volume Gas Thermometers?

  • Thread starter Thread starter Kolahal Bhattacharya
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SUMMARY

The empirical temperature is defined using constant volume gas thermometers due to their ability to provide a consistent and accessible reference point at the triple point of water. The formula t=(t_3)[(lim P_3 tends to 0) ((P/P_3)_v)] illustrates this relationship, where P represents pressure and t_3 corresponds to the triple point. Unlike thermocouples or resistance thermometers, which introduce complexities due to their dependence on temperature and constants, constant volume gas thermometers maintain a straightforward correlation between pressure and temperature, making them ideal for empirical temperature definitions.

PREREQUISITES
  • Understanding of thermodynamic principles
  • Familiarity with constant volume gas thermometers
  • Knowledge of the triple point of water
  • Basic grasp of thermometric properties and their relationships
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  • Research the operational principles of constant volume gas thermometers
  • Study the significance of the triple point in thermodynamics
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Students of thermodynamics, researchers in temperature measurement techniques, and professionals involved in precision temperature calibration will benefit from this discussion.

Kolahal Bhattacharya
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Homework Statement



In almost every thermodynamics book, I see that they define empirical temperature in terms of parameters of a constant volume gas thermometers.
Like: t=(t_3)[(lim P_3 tends to 0) ((P/P_3)_v)].Here 3 corresponds to triple point.Why?If they are to define empirical temperature and they are to refer to triple point then why they do not take thermocouples or resistance thermometers?
Is it because that for constant volume gas thermometers the exposure to the triple point temperature is readily accessible?
 
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Hello,I found one.Please check if I am correct.In every book the concept has been developed starting from (theta_2/theta_1)=(X_2/X_1) where X is the value of thermometric property and theta is the empirical temperature.
I used the letter t instead theta in last post.
The question was why X should be taken as pressure of a constant volume gas thermometer insted resistance of a resistance thermometer or thermo-emf of a thermocouple.
In the latter cases,X depends on theta square,theta, as well as on constants.
Extracting (theta_2/theta_1) from RHS,we see that the rest also depends on thetas.So,effectively we get 1=f(theta_1,theta_2) which may be correct only for a limited range of tempetatures.
For the constant volume gas ther mpmeters,this complication does not arises.
 

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