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On April 19 2011 07:38 Chill wrote:Show nested quote +On April 19 2011 07:34 SirazTV wrote: That is an example of a question that is a terrible true or false question. Both answers are wrong as the temperature could be the same or different. But even if it's the same, the zeroth law doesn't tell us that.
But then there is not enough information to answer the question. Lack of information =/= false.
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The 'three bodies' thing is a bit of a red herring, yes. The point is that thermal equilibrium doesn't really mean much without the zeroth law, as there's no way you can use "A is in equilibrium with B" to infer anything else about B or A (even as trivial as "B is in equilibrium with A" doesn't neccessarily follow).
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United States5162 Posts
On April 19 2011 07:46 SirazTV wrote:Show nested quote +On April 19 2011 07:36 Myles wrote:On April 19 2011 07:34 SirazTV wrote: That is an example of a question that is a terrible true or false question. Both answers are wrong as the temperature could be the same or different. It's actually not. The question isn't about the temperature or equilibrium at all. It's about what the Zeroth Law tells us, which in this case is nothing because the Zeroth law applies to 3 bodies, not 2. Lol, you are completely missing the point of the Zeroth Law of thermodynamics......... The point is that the liquid, glass, mercury, and air are all in equilibrium with each other. Without the zeroth law even if the liquid and glass were in equilibrium and the glass and mercury were in equilibrium. The liquid and mercury would not be in equilibrium. Without this it would be impossible to measure temperature. Look, just because in grade school math A=B, B=C ==> A=C does not mean it is always the case.
Huh? I think you're reading a bit too much into the question. It's says nothing about anything being in equilibrium. It talks about two bodies, the thermometer and the liquid. Talking about the components of the thermometer, or the air or the glass is adding extra info that isn't given. As pointed out by others, we have no idea at what temperature anything is at or how long the things have been in contact.
The whole question is does Zeroth law tell you that the two objects are in equilibrium, which is no.
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On April 19 2011 07:48 SirazTV wrote:Show nested quote +On April 19 2011 07:38 Chill wrote:On April 19 2011 07:34 SirazTV wrote: That is an example of a question that is a terrible true or false question. Both answers are wrong as the temperature could be the same or different. But even if it's the same, the zeroth law doesn't tell us that. But then there is not enough information to answer the question. Lack of information =/= false.
Nope.
You are not answering true/false as to whether or not the temperature is the same, but to whether or not the zeroth law says it is. Since there's no third system, it doesn't, so the answer is false.
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does the 0th law of thermodynamics tell you that the temperatures are the same? No, the 0th law of thermodynamics is a principle about thermal equilibrium between three bodies. false.
this question is not poorly written nor is it open to interpretation.
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The zeroth law applies to two systems (you let system 2 and system 3 be the same system), so you can't use that argument.
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Calgary25951 Posts
On April 19 2011 07:48 SirazTV wrote:Show nested quote +On April 19 2011 07:38 Chill wrote:On April 19 2011 07:34 SirazTV wrote: That is an example of a question that is a terrible true or false question. Both answers are wrong as the temperature could be the same or different. But even if it's the same, the zeroth law doesn't tell us that. But then there is not enough information to answer the question. Lack of information =/= false. Read the question and then read the answers. Lack of information does equal false in this case.
I don't know how people are confusing this question. It doesn't even state the thermometer is at equilibrium with the liquid, just that it's submerged. The liquid could be ice water and the thermometer could be a hundred degrees. That's not at equilibrium so the zeroth law doesn't tell us anything in this situation.
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Well part of interpreting exam questions is understanding the context, and half of a physics exam is making the appropriate assumptions. It's hardly a surprise people are making sensible assumptions given the question (e.g. that 'submerged' means it's been there long enough to thermalise with the surroundings), but since it's either badly worded or a trick question, it's not entirely clear what those assumptions should be.
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On April 19 2011 07:48 SirazTV wrote:Show nested quote +On April 19 2011 07:38 Chill wrote:On April 19 2011 07:34 SirazTV wrote: That is an example of a question that is a terrible true or false question. Both answers are wrong as the temperature could be the same or different. But even if it's the same, the zeroth law doesn't tell us that. But then there is not enough information to answer the question. Lack of information =/= false. Usually a true/false question is understood as asking whether a proposition is a tautology, i.e. whether it is true for every allowed value of the variables involved.
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When such a question strikes you ask the teacher holding the exam what he/she is asking with the question. Not being able to understand a poorly formulated/constructed question shouldn't lose you points.
Since we can't do that (answering afterwards) I would have to go with false due to the reasons others have stated. Not enough information equals false.
Another option would be to expand upon the question options, tick false and then give a reason so you show you understood the material but that the question tricked you if you answer incorrectly. (This doesn't work if it is scanned and just checks the area for the answer and automagically corrects it afterwards.)
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Thanks for the responses so far. Yurie, that's a good idea.
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Eventually yes, they'll be the same temperature (thermo equilibrium) so true
Edit: Clarification: An important corollary of the zeroth law is as follows "Two systems are in thermal equilibrium if and only if they have the same temperature"
Second Edit: I went back and checked my text just to make sure, they mention this exact example (I assume its the standard example), the only reason a thermometer is useful is because it measures its own temperature which, by zeroth law, is the temperature of its surrounding. Ignore the formal 3 bodies definition, that's not whats important.
Third Edit: Granted the question is ambiguous as whether or not the thermometer is in equilibrium with the water but, because it doesn't say one way or another, we can logically assume that it is since we're talking about a thermometer. Its only use is when its in equilibrium and it reaches that relatively quickly, I think the other posters in this thread are over thinking it
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Ah, but DieJokes, the thermometer only has the temperature of the surroundings thanks to the first and second laws.
I don't think it's a very good question but you are probably right, that is what the teacher is trying to get at with the question.
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Chill nailed it. The question isn't whether the thermometer and liquid are the same temperature, it's whether the Zeroth Law tells you that they are, which it clearly doesn't.
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On April 19 2011 06:55 KlaCkoN wrote: Assuming that the system is in thermal equlibrium yes. However the question says nothing about that so the correct answer should be "not necessarily"? I dunnu. Yeah this is what I figure as well.
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I get dumb questions like these in physics all the time, they try to fake that they are ambiguous. But if you sit down and think about it, you really just have to look at the wording of the question. The wording asks about the Zeroth law, meaning you are verifying whether or not the situation follows the zeroth law (regardless of what the result of the situation is).
I always hated them.
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On April 19 2011 09:04 Dragar wrote:Ah, but DieJokes, the thermometer only has the temperature of the surroundings thanks to the first and second laws. I don't think it's a very good question but you are probably right, that is what the teacher is trying to get at with the question. Well, not directly right? As I understand it (I'm a first year chem major) the zeroth law came after the other three so it was discovered using the intuitive concepts that followed from the but it is fundamental to all three of them (hence zeroth). So sure you could come up with that from the first two, but the first two don't actually say that.
On April 19 2011 09:27 Vertig0 wrote: Chill nailed it. The question isn't whether the thermometer and liquid are the same temperature, it's whether the Zeroth Law tells you that they are, which it clearly doesn't. The zeroth law does tell you this, but not directly from the formal definition. If you look in your texts they'll describe exactly this situation as an application of the zeroth law, a cursory glance at the wiki isn't sufficient (not to say you did that, but I think some other people in the thread have; please don't take any of this personally I don't mean it to be)
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On April 19 2011 10:04 n.DieJokes wrote:Show nested quote +On April 19 2011 09:04 Dragar wrote:Ah, but DieJokes, the thermometer only has the temperature of the surroundings thanks to the first and second laws. I don't think it's a very good question but you are probably right, that is what the teacher is trying to get at with the question. Well, not directly right? As I understand it (I'm a first year chem major) the zeroth law came after the other three so it was discovered using the intuitive concepts that followed from the but it is fundamental to all three of them (hence zeroth). So sure you could come up with that from the first two, but the first two don't actually say that.
Sort of directly. Thermometers work (in the sense that they reach the same temperature as their surroundings) because of the first and second laws.
(I think the simplest way to put is is that the first law tells us how heat and entropy are related, and the second law tells us how entropy behaves - the combination allowing us to deduce how heat will flow between the thermometer and its surroundings when out of equilibrium.)
The zeroth law is indeed fundamental, as it gives you a meaning behind temperature (equilibrium) in the first place.
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On April 19 2011 10:10 Dragar wrote:Show nested quote +On April 19 2011 10:04 n.DieJokes wrote:On April 19 2011 09:04 Dragar wrote:Ah, but DieJokes, the thermometer only has the temperature of the surroundings thanks to the first and second laws. I don't think it's a very good question but you are probably right, that is what the teacher is trying to get at with the question. Well, not directly right? As I understand it (I'm a first year chem major) the zeroth law came after the other three so it was discovered using the intuitive concepts that followed from the but it is fundamental to all three of them (hence zeroth). So sure you could come up with that from the first two, but the first two don't actually say that. Sort of directly. Thermometers work (i.e. they reach the same temperature as their surroundings) because of the first and second laws. The zeroth law is indeed fundamental, as it gives you a meaning behind temperature in the first place. I get what you're saying, but the zeroth tells us that they will have exactly the same temperature at equilibrium; you can't get that directly from the first or more importantly the second law.
Edit: That seems ambiguous; the second law says energy is conserved in the system and acts in such a way as to decrease potential energy. So from this the thermometer will heat or cool depending on its surrounds and vice versa. It's the zeroth law that tells us that this system reaches equilibrium if and only if they have exactly the same temperature. It doesn't matter what the materials are, they will reach the same temp.
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On April 19 2011 07:46 SirazTV wrote:Show nested quote +On April 19 2011 07:36 Myles wrote:On April 19 2011 07:34 SirazTV wrote: That is an example of a question that is a terrible true or false question. Both answers are wrong as the temperature could be the same or different. It's actually not. The question isn't about the temperature or equilibrium at all. It's about what the Zeroth Law tells us, which in this case is nothing because the Zeroth law applies to 3 bodies, not 2. Lol, you are completely missing the point of the Zeroth Law of thermodynamics......... The point is that the liquid, glass, mercury, and air are all in equilibrium with each other. Without the zeroth law even if the liquid and glass were in equilibrium and the glass and mercury were in equilibrium. The liquid and mercury would not be in equilibrium. Without this it would be impossible to measure temperature. Look, just because in grade school math A=B, B=C ==> A=C does not mean it is always the case.
I can think of no system where using the operator =, A, B and C the way that you have and with the parameters that you have, that a person would be unable to infer a relationship between A and C. Perhaps choose your operators better next time you decide to be a smarmy ass.
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