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Feb 5, 2016 at 13:03 vote accept Prakhar Londhe
Feb 5, 2016 at 6:02 comment added John Rennie @prakharlondhe: correct - there is no restriction on the absolute temperature scale to be non linear
Feb 5, 2016 at 0:47 comment added Prakhar Londhe It would be quite difficult but still there is no restriction on the absolute temperature scale to be non linear. ... or is there?
Feb 4, 2016 at 16:56 comment added John Rennie The Dalton scale is a temperature scale in the sense that you can consistently measure temperatures with it. But you would have to be barking mad to actually attempt to use the Dalton scale in thermodynamic calculations.
Feb 4, 2016 at 16:45 comment added Prakhar Londhe So The Dalton's scale is not just an exception to the linear scales.. it is perfectly "Ok" for a temperature scale to be non-linear w.r.t the Kelvin Scale.. Right?? Thanks!!
Feb 4, 2016 at 16:37 comment added John Rennie The Kelvin scale is linear in the sense that for an ideal gas the internal energy is proportional to the temperature. So each extra degree K adds the same increment of internal energy. If you want your Namu scale $T_N$ to preserve this linearity then it needs to be related to the Kelvin scale $T_K$ by $T_N = aT_K + b$ where $a$ and $b$ are constants. I'm guessing this is what you mean by your expression mK + c. If you're not fussed about the linearity then you could use a more general scale, but all your equations will get more complicated if you do.
Feb 4, 2016 at 16:30 comment added Prakhar Londhe One more question, is There any bound that any new (absolute or not) temperature scale should be of form mK + c ?
Feb 4, 2016 at 16:26 comment added John Rennie @prakharlondhe: Yes, your Namu scale is a perfectly good absolute temperature scale.
Feb 4, 2016 at 16:23 comment added Prakhar Londhe So The "Namu" I defined can be considered an absolute scale, won't it?
Feb 4, 2016 at 16:07 history answered John Rennie CC BY-SA 3.0