Re: Zero Points?
- From: nospam@xxxxxxxxxxxxxxxx (J. J. Lodder)
- Date: Fri, 4 Sep 2009 11:12:23 +0200
Murray Arnow <arnow@xxxxxxxxx> wrote:
J. J. Lodder wrote:
Murray Arnow wrote:
Lars Eighner wrote:
Temperature does, of course, have a zero that means zero, but that is
not the zero of several temperature scales. Kelvin uses the zero that
is zero. Celsius and Fahrenheit do not. Their zeros are as arbitrary
as the zero of longitude.
It's when you are absolutely sure, you should question the most. If the
Kelvin zero is zero, then there would be no negative energies. The fact
is all scales are arbitrary. It is convenient in Statistical Mechanics
to set a zero-point temperature, but it isn't necessary.
It's necessary.
Thermodynamics defines ratios of (absolute) temperatures only,
I that true?
Yes.
Classical thermodynamics, in my recollection, says that an
empirical temperature exists and is defined through the equation of
state, F(P,V)=T. This doesn't demand a zero. I guess you could invoke
the Third Law to demand a zero temperature, but, in general, the
existence of a zero-point temperature isn't necessary to do
thermodynamics.
Classical thermodynamics doesn't depend on any equation of state
or empirical temperature scale. (any will do)
The concept of thermodynamic (aka absolute) temperature
is derived from the first and second law.
(by incredibly clever reasoning)
However, termodynamics defines only ratios of temperatures,
so one particular point has to be chosen to fix the unit.
In other words, temperature is a multiplicative quantity,
not an additive one. So a zero is inevitably implied,
Jan
.
- References:
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- Zero Points?
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