Friday, May 12, 2017

thermodynamics - Why is a degree Celsius exactly the same as a Kelvin?


How on earth is it possible that the difference between two temperatures in Celsius and Kelvin is exactly the same. Given the historical definition of Celsius, I find it hard to believe that this is pure coincidence.




Answer



It's because the Kelvin scale was and still is defined so that as a measure of temperature difference, one kelvin exactly coincides with one Celsius degree. So the temperature in kelvins was defined as the temperature in Celsius degrees minus $A$ where $A=273.15$ °C is the temperature of the absolute zero, without any additional multiplicative factor.


When people learned how to measure the temperature more accurately, they could have redefined the scales a little bit so that the new definition didn't depend on arbitrary constructs such as "ordinary atmospheric pressure" (which had to be imposed to define the boiling and freezing points previously). Today, one kelvin is defined so that the triple point of water is exactly 273.16 kelvins and the scale is "linear" in the usual sense (e.g. when one measures the pressure times volume of the ideal gas; absolute zero is 0 K, of course). But this is just a refinement that was designed to match, within the error margins, the previous definition based on the freezing and boiling points of water at reasonable pressures.


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