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  4. what is temperature?
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what is temperature?

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Offline puppypower

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Re: what is temperature?
« Reply #60 on: 25/11/2021 13:55:12 »
Another consideration for temperature is entropy. Entropy is a state variable meaning for any given state of matter entropy is a constant. Water at 25C and 1 Atm has a fixed amount of entropy. The complexity of atomic motion needed to define a state, is often modeled as being a distribution of random affects. The interesting part is this state of random adds up to a constant amount of entropy. It is weird how a wide range of random affects is constrained to add to a constant entropy; loaded dice.

This paradox has to do with the second law, which states that the entropy of the universe has to increase. This net irreversible situation implies the universe is bleeding energy. Since entropy has to increase, the energy that is being lost into entropy is not net retrievable. We cannot undo the randomness of a state, and straighten things out, since the second law implies lost energy has to increase. Some energy within this entropic state is lost to the universe, via the added complexity and randomness, that also expresses a fixed temperature. There is a second way random affects add to a fix amount.

In the Gibb's Free Energy equation G=H-TS, where G is the free energy, H is internal energy or enthalpy, T is temperature and S is entropy. Temperature times entropy equals a free energy change, with the fixed temperature part of the state which defines constant entropy. This all  adds to a constant; quantum state of entropy.
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Offline Bored chemist

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Re: what is temperature?
« Reply #61 on: 25/11/2021 15:26:51 »
Quote from: puppypower on 25/11/2021 13:55:12
It is weird
Not if you understand it.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #62 on: 05/12/2021 11:38:11 »
Quote from: Bored chemist on 25/11/2021 08:56:16
Quote from: hamdani yusuf on 25/11/2021 03:07:35
If I want to minimize heat loss from thermal radiation of a hot vessel, say 1000 °C, I must make the emissivity of its surface to near 0.

If the emissivity is near zero, that means (by Kirchhoff's law) that the absorptivity is also zero.
 If the surface absorbs no light, then it must reflect it all.

That's why they silver the insides of thermos flasks.
I think when silver is heated to 1000 Celcius, it loses most of its reflectiveness, which makes it similar to a black body. CMIIW.
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Offline Bored chemist

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Re: what is temperature?
« Reply #63 on: 05/12/2021 12:02:21 »
Molten silver is still shiny.

You can see a highlight and image reflected in this stream  of meal here
https://videohive.net/item/pouring-molten-silver-into-a-mold/20499699


* Silver.JPG (14.36 kB . 259x210 - viewed 2213 times)
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #64 on: 05/12/2021 13:24:18 »
But it emits light quite brightly in a dark room. It means it has high emmissivity, which also has high absorptivity.
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Offline Bored chemist

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Re: what is temperature?
« Reply #65 on: 05/12/2021 13:40:55 »
Quote from: hamdani yusuf on 05/12/2021 13:24:18
But it emits light quite brightly in a dark room.
No.
A black body at the same temperature would be much brighter.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #66 on: 05/12/2021 21:57:03 »
Quote from: Bored chemist on 05/12/2021 13:40:55
Quote from: hamdani yusuf on 05/12/2021 13:24:18
But it emits light quite brightly in a dark room.
No.
A black body at the same temperature would be much brighter.
It's a grey body then. Is emissivity a constant, or it depends on temperature?
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Offline Bored chemist

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Re: what is temperature?
« Reply #67 on: 06/12/2021 08:56:01 »
It varies with temperature and wavelength.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #68 on: 09/12/2021 04:02:41 »
Quote from: Bored chemist on 06/12/2021 08:56:01
It varies with temperature and wavelength.
Is it possible for a material to have emissivity higher than black body for some specific range of frequency? (presumably lower for other frequency range)
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Offline Bored chemist

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Re: what is temperature?
« Reply #69 on: 09/12/2021 08:53:47 »
Quote from: hamdani yusuf on 09/12/2021 04:02:41
Quote from: Bored chemist on 06/12/2021 08:56:01
It varies with temperature and wavelength.
Is it possible for a material to have emissivity higher than black body for some specific range of frequency? (presumably lower for other frequency range)
Probably not, though I wouldn't like to absolutely rule it out in the case of laser emission.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #70 on: 17/03/2022 05:05:50 »
I just found this research paper, and curious why the story of Kirchhoff's experiment and the importance of graphite in it was not widely known.
https://arxiv.org/abs/physics/0507007
https://www.researchgate.net/publication/26414792_An_Analysis_of_Universality_in_Blackbody_Radiation/link/0e5f9e2ff0c41c4932dc6612/download
Quote
An Analysis of Universality in Blackbody Radiation
Pierre-Marie Robitaille, Ph.D.*
Chemical Physics Program
The Ohio State University, Columbus, Ohio 43210

Through the formulation of his law of thermal emission, Kirchhoff conferred upon blackbody radiation the
quality of universality [G. Kirchhoff, Annalen der Physik 109, 275 (1860)]. Consequently, modern physics holds that
such radiation is independent of the nature and shape of the emitting object. Recently, Kirchhoff’s experimental work
and theoretical conclusions have been reconsidered [P.M.L. Robitaille. IEEE Transactions on Plasma Science. 31(6),
1263 (2003)]. In this work, Einstein’s derivation of the Planckian relation is reexamined. It is demonstrated that claims
of universality in blackbody radiation are invalid.


From the onset, blackbody radiation was unique in possessing the virtue of universality [1,2]. The nature of the
emitting object was irrelevant to emission. Planck [3], as a student of Kirchhoff, adopted and promoted this concept
[4,5]. Nonetheless, he warned that objects sustaining convection currents should not be treated as blackbodies [5].
As previously discussed in detail [6], when Kirchhoff formulated his law of thermal emission [1,2], he utilized
two extremes: the perfect absorber and the perfect reflector. He had initially observed that all materials in his laboratory
displayed distinct emission spectra. Generally, these were not blackbody in appearance and were not simply related to
temperature changes. Graphite, however, was an anomaly, both for the smoothness of its spectrum and for its ability to
simply disclose its temperature. Eventually, graphite’s behavior became the basis of the laws of Stefan [7], Wien [8] and
Planck [3].

For completeness, the experimental basis for universality is recalled [1,2,5,6]. Kirchhoff first set forth to
manufacture a box from graphite plates. This enclosure was a near perfect absorber of light (ε =1, κ =1). The box had a
small hole, through which radiation escaped. Kirchhoff placed various objects in this device. The box would act as a
transformer of light [6]. From the graphitic light emitted, Kirchhoff was able to gather the temperature of the enclosed
object once thermal equilibrium had been achieved. A powerful device had been constructed to ascertain the
temperature of any object. However, this scenario was strictly dependent on the use of graphite.
Kirchhoff then sought to extend his findings [1,2,5]. He constructed a second box from metal, but this time the
enclosure had perfectly reflecting walls (ε =0, κ =0). Under this second scenario, Kirchhoff was never able to reproduce
the results he had obtained with the graphite box. No matter how long he waited, the emitted spectrum was always
dominated by the object enclosed in the metallic box. The second condition was unable to produce the desired spectrum.
As a result, Kirchhoff resorted to inserting a small piece of graphite into the perfectly reflecting enclosure [5].
Once the graphite particle was added, the spectrum changed to that of the classic blackbody. Kirchhoff believed he had
achieved universality. Both he, and later, Planck, viewed the piece of graphite as a "catalyst" which acted only to
increase the speed at which equilibrium was achieved [5]. If only time was being compressed, it would be
mathematically appropriate to remove the graphite particle and to assume that the perfect reflector was indeed a valid
condition for the generation of blackbody radiation.
However, given the nature of graphite, it is clear that the graphite particle was in fact acting as a perfect
absorber. Universality was based on the validity of the experiment with the perfect reflector, yet, in retrospect, and given
a modern day understanding of catalysis and of the speed of light, the position that the graphite particle acted as a
catalyst is untenable. In fact, by adding a perfect absorber to his perfectly reflecting box, it was as if Kirchhoff lined the
entire box with graphite. He had unknowingly returned to the first case. Consequently, universality remains without any
experimental basis.
My question is, how big is the required size of graphite to make a perfectly reflecting box act like a black body?
« Last Edit: 17/03/2022 05:15:40 by hamdani yusuf »
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Offline Bored chemist

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Re: what is temperature?
« Reply #71 on: 17/03/2022 08:52:19 »
In principle, it depends how long you are prepared to wait.
You need to give enough time for all the light bouncing  round the box to hit the black  object. (probably a few times because it's not actually a perfect absorber.

Another way to consider it is to imagine looking into the box- if it doesn't look black, it won't emit as if it is.

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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #72 on: 17/03/2022 09:36:21 »
Quote from: Bored chemist on 17/03/2022 08:52:19
In principle, it depends how long you are prepared to wait.
You need to give enough time for all the light bouncing  round the box to hit the black  object. (probably a few times because it's not actually a perfect absorber.

Another way to consider it is to imagine looking into the box- if it doesn't look black, it won't emit as if it is.


Let's say the box is a cube 1 cubic meter, and the peep hole is on one of its corner. In a second, the light must have been reflected thousands of times.
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Offline Bored chemist

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Re: what is temperature?
« Reply #73 on: 17/03/2022 09:43:49 »
You will never get a perfect black hole.
But imagine shining a narrow beam of light in through the hole.
Will it hit the black particle as it bounces round?

It's also important to remember that no surface is a truly perfect reflector.
So a small hole is quite a good black body, even if the box is polished.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #74 on: 17/03/2022 13:36:24 »
Quote from: Bored chemist on 17/03/2022 09:43:49
You will never get a perfect black hole.
But imagine shining a narrow beam of light in through the hole.
Will it hit the black particle as it bounces round?

It's also important to remember that no surface is a truly perfect reflector.
So a small hole is quite a good black body, even if the box is polished.
Eventually it will.

As described by the research paper, the inside of the second box has an extremely low absorbance.
Quote from: hamdani yusuf on 17/03/2022 05:05:50
Quote
Kirchhoff then sought to extend his findings [1,2,5]. He constructed a second box from metal, but this time the
enclosure had perfectly reflecting walls (ε =0, κ =0). Under this second scenario, Kirchhoff was never able to reproduce
the results he had obtained with the graphite box. No matter how long he waited, the emitted spectrum was always
dominated by the object enclosed in the metallic box. The second condition was unable to produce the desired spectrum.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #75 on: 17/03/2022 13:49:36 »
I imagine a 1 liter plastic cube containing a 1 kg spinning bar magnet with negligible friction at 100 rotations per second.
The temperature is 300K, just like the room temperature.
A 1kg Aluminum cube is placed right next to the first cube. Its initial temperature is 310K.
The Eddie current would increase the temperature of the aluminum cube, while reducing the rotation rate of the spinning magnet. Here we see electromagnetic energy transfer from lower temperature body to higher temperature body. Thus the radiation type can't be thermal, although it's surely electromagnetic in nature.
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Offline Bored chemist

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Re: what is temperature?
« Reply #76 on: 18/03/2022 13:24:36 »
Quote from: hamdani yusuf on 17/03/2022 13:36:24
Eventually it will.
I am pleased to see that you recognise what I said earlier.

Quote from: Bored chemist on 17/03/2022 08:52:19
In principle, it depends how long you are prepared to wait.


Quote from: hamdani yusuf on 17/03/2022 13:49:36
I imagine a 1 liter plastic cube containing a 1 kg spinning bar magnet with negligible friction at 100 rotations per second.
The temperature is 300K, just like the room temperature.
A 1kg Aluminum cube is placed right next to the first cube. Its initial temperature is 310K.
The Eddie current would increase the temperature of the aluminum cube, while reducing the rotation rate of the spinning magnet. Here we see electromagnetic energy transfer from lower temperature body to higher temperature body. Thus the radiation type can't be thermal, although it's surely electromagnetic in nature.
Energy is transferred to the aluminium, but it isn't thermal energy which the spinning magnet looses; but kinetic energy.
A cold bullet fired into hot water will heat the water.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #77 on: 19/03/2022 03:37:44 »
Quote from: hamdani yusuf on 17/03/2022 13:49:36
imagine
This video came to my mind.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #78 on: 19/03/2022 03:56:58 »
Quote from: Bored chemist on 18/03/2022 13:24:36
Energy is transferred to the aluminium, but it isn't thermal energy which the spinning magnet looses; but kinetic energy.
Indeed. The question is, what distinguishes thermal energy from kinetic energy? What distinguishes thermal radiation from other kind of electromagnetic radiations?
« Last Edit: 19/03/2022 12:26:40 by hamdani yusuf »
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #79 on: 19/03/2022 07:14:21 »
Quote from: hamdani yusuf on 17/03/2022 13:49:36
I imagine a 1 liter plastic cube containing a 1 kg spinning bar magnet with negligible friction at 100 rotations per second.
The temperature is 300K, just like the room temperature.
A 1kg Aluminum cube is placed right next to the first cube. Its initial temperature is 310K.
Let's make the system more symmetrical. 1 kg aluminium bar  is free to rotate in an axis, put inside a 1 liter plastic cube.
In case where those bars are coaxial,  some kinetic energy will be transferred from the magnet to the aluminium bar. But if their axes are perpendicular to each other, the aluminium bar won't receive the kinetic energy.
« Last Edit: 19/03/2022 12:39:48 by hamdani yusuf »
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