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  4. what is temperature?
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what is temperature?

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Offline Bored chemist

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Re: what is temperature?
« Reply #240 on: 21/04/2022 13:37:21 »
Quote from: hamdani yusuf on 21/04/2022 13:36:19
No multiplication by zero is involved.
Nobody said it was.

Did you notice that Alan got completely the wrong answer?
Do you consider that to be important?
« Last Edit: 21/04/2022 13:44:14 by Bored chemist »
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #241 on: 21/04/2022 13:46:01 »
Quote from: Bored chemist on 21/04/2022 13:23:10
Quote from: hamdani yusuf on 21/04/2022 11:35:07
Quote from: Bored chemist on 21/04/2022 08:48:09
I already told you twice.
Which one?
Quote from: Bored chemist on 16/04/2022 11:33:56
Yes there is.
That is why I provided it.
Did you somehow miss this bit?

Quote from: Bored chemist on 13/04/2022 23:07:45
A xenon arc lamp  gives a fairly good approximation to thermal spectrum- unless you look near the emission lines at the right hand end
https://en.wikipedia.org/wiki/Xenon_arc_lamp#/media/File:Xenon_arc_lamp_profile.png

The visible radiation from the sun is close enough to a thermal spectrum to let us estimate the temperature of the sun's surface.

But the emission lines were what allowed someone to demonstrate the existence of helium

I think that something should be a noun.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #242 on: 21/04/2022 13:49:24 »
Quote from: Bored chemist on 21/04/2022 13:37:21
Quote from: hamdani yusuf on 21/04/2022 13:36:19
No multiplication by zero is involved.
Nobody said it was.


Quote from: Bored chemist on 21/04/2022 12:54:26
Your view is like saying that the top of a hill is flat and the bottom of the hill is flat so you can calculate the potential energy of an object at the top of the hill by multiplying the weight by zero.
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Offline Bored chemist

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Re: what is temperature?
« Reply #243 on: 21/04/2022 15:05:47 »
Quote from: hamdani yusuf on 21/04/2022 13:49:24
Quote from: Bored chemist on 21/04/2022 13:37:21
Quote from: hamdani yusuf on 21/04/2022 13:36:19
No multiplication by zero is involved.
Nobody said it was.


Quote from: Bored chemist on 21/04/2022 12:54:26
Your view is like saying that the top of a hill is flat and the bottom of the hill is flat so you can calculate the potential energy of an object at the top of the hill by multiplying the weight by zero.

You highlighted the wrong bit
Quote from: Bored chemist on 21/04/2022 12:54:26
Your view is like saying that the top of a hill is flat and the bottom of the hill is flat so you can calculate the potential energy of an object at the top of the hill by multiplying the weight by zero.

Nobody said it was actually doing it.

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Offline Bored chemist

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Re: what is temperature?
« Reply #244 on: 21/04/2022 15:07:58 »
Quote from: hamdani yusuf on 21/04/2022 13:46:01
Quote from: Bored chemist on 21/04/2022 13:23:10
Quote from: hamdani yusuf on 21/04/2022 11:35:07
Quote from: Bored chemist on 21/04/2022 08:48:09
I already told you twice.
Which one?
Quote from: Bored chemist on 16/04/2022 11:33:56
Yes there is.
That is why I provided it.
Did you somehow miss this bit?

Quote from: Bored chemist on 13/04/2022 23:07:45
A xenon arc lamp  gives a fairly good approximation to thermal spectrum- unless you look near the emission lines at the right hand end
https://en.wikipedia.org/wiki/Xenon_arc_lamp#/media/File:Xenon_arc_lamp_profile.png

The visible radiation from the sun is close enough to a thermal spectrum to let us estimate the temperature of the sun's surface.

But the emission lines were what allowed someone to demonstrate the existence of helium

I think that something should be a noun.
OK, fair enough.
It depends on your intention.
Intention is a noun.

It's like saying "is a knife considered sharp?", without saying what you are going to do with it.
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Offline alancalverd

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Re: what is temperature?
« Reply #245 on: 21/04/2022 15:58:44 »
There is a slight problem with BC's admirable spreadsheet.

Clearly the heat energy of a kilogram of hydrogen is not zero at 175K - that's just from the definition of the Kelvin scale!

And the boiling point of hydrogen is about 25K, so to be really fastidious we need to allow for the phase change.

Fortunately Sliq is pretty close to 14.4 so we can approximate the heat energy at 175K as around 14 x 175 = 2450. If you add that to BC's number you end up pretty close to mine.

As a nod to other pedants, yes, if you know S is a function of T you must integrate ∫SdT rather than just multiply by the final temperature.  And I've ignored the latent heat of melting and vaporisation too!
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Offline Bored chemist

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Re: what is temperature?
« Reply #246 on: 21/04/2022 19:35:43 »
Quote from: alancalverd on 21/04/2022 15:58:44
As a nod to other pedants, yes, if you know S is a function of T you must integrate ∫SdT rather than just multiply by the final temperature.
So...
You are actually saying I was right all along...

An odd way to put it but... better late than never.
Quote from: Bored chemist on 19/04/2022 20:44:17
Quote from: alancalverd on 19/04/2022 19:55:15
Quote from: hamdani yusuf on 18/04/2022 09:39:07
I should say that objects with higher temperature are some times treated like they have higher potential energy compared to the same/similar objects but at lower temperature.
Same object, yes. Similar object, no. The thermal energy (i.e. heat content) of a body of mass M, specific heat capacity S and temperature T  is MST.
Except that S varies with T.
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Offline Bored chemist

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Re: what is temperature?
« Reply #247 on: 21/04/2022 19:47:33 »
 If you put in the rest of the data and then add the 2450 that Alan talked about you get this graph of the error vs temperature.


* error.jpg (19.79 kB . 481x289 - viewed 1927 times)

But... whatever... the fundamental issue remains.
You can't just multiply T by Cp because Cp isn't a constant, so you don't know which value to pick.


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Offline alancalverd

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Re: what is temperature?
« Reply #248 on: 21/04/2022 21:25:43 »
Quote from: Bored chemist on 21/04/2022 13:19:47
At 175K the (constant pressure) heat capacity of 1 Kg of H2 is 13.12 KJ  per kelvin
Which, multiplied by 175, gives you (to a first approximation) 2310 kJ, not 0.
Just because 175K is a bit chilly doesn't mean you can't extract some heat energy from your kilogram of hydrogen. You could get about 1300 kJ from it by constructing a Stirling engine with a liquid nitrogen cold source - practicable if pointless.
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Offline Bored chemist

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Re: what is temperature?
« Reply #249 on: 21/04/2022 21:31:10 »
Quote from: alancalverd on 21/04/2022 21:25:43
Quote from: Bored chemist on 21/04/2022 13:19:47
At 175K the (constant pressure) heat capacity of 1 Kg of H2 is 13.12 KJ  per kelvin
Which, multiplied by 175, gives you (to a first approximation) 2310 kJ, not 0.
Just because 175K is a bit chilly doesn't mean you can't extract some heat energy from your kilogram of hydrogen. You could get about 1300 kJ from it by constructing a Stirling engine with a liquid nitrogen cold source - practicable if pointless.
Did you notice this bit?
Quote from: Bored chemist on 21/04/2022 19:47:33
then add the 2450 that Alan talked about

It's the bit where, even if we allow for that you are still wrong.
(and you seem to be repeating yourself.)

It would be interesting if we had data for other gases.

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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #250 on: 05/05/2022 04:13:08 »
Here is an attempt to explain temperature.

and thermal radiation

Are there something that you disagree with them?
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Offline Bored chemist

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Re: what is temperature?
« Reply #251 on: 05/05/2022 08:31:51 »

* temp vid.jpg (144.11 kB . 1011x458 - viewed 1894 times)
It can't be a very good attempt; it shows the solid as full of springs, and then it ignores potential energy.
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Offline alancalverd

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Re: what is temperature?
« Reply #252 on: 05/05/2022 10:19:28 »
What's to explain? The caption statement is almost correct:  the definition of temperature is the average internal kinetic energy of a body. You can't explain a definition!
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Offline Bored chemist

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Re: what is temperature?
« Reply #253 on: 05/05/2022 11:41:01 »
Also, you don't supply thermal energy by applying a force.
You supply mechanical energy.
So, the first sentence of the vid is wrong.
And then it makes the flat out false assertion that rotation doesn't contribute to temperature.
It does.

Why does the video get so many things wrong?
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Offline Eternal Student

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Re: what is temperature?
« Reply #254 on: 05/05/2022 14:36:03 »
Hi.
    One of the issues with the the videos is that they are very long, so I've only skimmed through each one.
I also don't know who produced or created them, so there's no guide as to their reliability or accuracy.

    The first video looks like they have made some simplifications.
Their phrase " temperature is only a measure of the average translational k.e. of a molecule, not the rotational k.e."   cannot be taken in isolation from their mention of the equi-partition of energy among all the degrees of freedom.
    So if you have equi-partition of energy, then increasing the rotational k.e. will increase the translational k.e.   and vice versa,   or to say that another way,   it's a bit arbitrary to say that rotational k.e. of the molecules doesn't contribute to temperature.    Temperature is proportional to the energy in any one degree of freedom you choose to use.   By some vector algebra, it would be proportional to the overall translational k.e. if you prefer to consider that.
     
    I skipped through most of the second video.   They seemed to be suggesting ways to work with realistic thermal emissions that aren't exactly black bodies.   In the first few minutes there was some mention of "radiation" as one of the main mechanisms for heat transfer along with conduction and convection.  Did they define "thermal radiation" as radiation that arises from a body naturally whenever it's temperature is above 0 Kelvin - that would be OK as a definition.   I don't think they worried about explaining the mechanism for the creation of that radiation or any other fine details, just noted that a hot body would radiate and approximate a black body.

Best Wishes.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #255 on: 06/05/2022 11:10:07 »
Quote from: Bored chemist on 05/05/2022 08:31:51
It can't be a very good attempt; it shows the solid as full of springs, and then it ignores potential energy.
Perhaps the potential energy isn't counted as (doesn't contribute to) temperature.
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Offline Bored chemist

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Re: what is temperature?
« Reply #256 on: 06/05/2022 12:58:48 »
Quote from: hamdani yusuf on 06/05/2022 11:10:07
Quote from: Bored chemist on 05/05/2022 08:31:51
It can't be a very good attempt; it shows the solid as full of springs, and then it ignores potential energy.
Perhaps the potential energy isn't counted as (doesn't contribute to) temperature.
It is counted and does contribute.
Why choose to be wrong about that?
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Offline Eternal Student

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Re: what is temperature?
« Reply #257 on: 06/05/2022 13:34:18 »
Hi.

Quote from: hamdani yusuf on 06/05/2022 11:10:07
Perhaps the potential energy isn't counted as (doesn't contribute to) temperature.
    Do you mean you haven't actually spent your ( @hamdani yusuf )  own time watching those videos?   Their answer is in the video.

Best Wishes.
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #258 on: 06/05/2022 22:34:06 »
Quote from: Bored chemist on 06/05/2022 12:58:48
Quote from: hamdani yusuf on 06/05/2022 11:10:07
Quote from: Bored chemist on 05/05/2022 08:31:51
It can't be a very good attempt; it shows the solid as full of springs, and then it ignores potential energy.
Perhaps the potential energy isn't counted as (doesn't contribute to) temperature.
It is counted and does contribute.
Why choose to be wrong about that?
Then the definition would be false.

Quote from: alancalverd on 05/05/2022 10:19:28
What's to explain? The caption statement is almost correct:  the definition of temperature is the average internal kinetic energy of a body. You can't explain a definition!
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Offline hamdani yusuf (OP)

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Re: what is temperature?
« Reply #259 on: 06/05/2022 22:44:15 »
Quote from: Eternal Student on 06/05/2022 13:34:18
Hi.

Quote from: hamdani yusuf on 06/05/2022 11:10:07
Perhaps the potential energy isn't counted as (doesn't contribute to) temperature.
    Do you mean you haven't actually spent your ( @hamdani yusuf )  own time watching those videos?   Their answer is in the video.

Best Wishes.
You don't have to agree with everything presented in a video.
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