Тёмный

2. Thermodynamics Part 2 

MIT OpenCourseWare
Подписаться 5 млн
Просмотров 145 тыс.
50% 1

MIT 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013
View the complete course: ocw.mit.edu/8-3...
Instructor: Mehran Kardar
This is the second of four lectures on Thermodynamics.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

Опубликовано:

 

12 окт 2024

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 71   
@Roflxopter
@Roflxopter 3 года назад
I feel so lucky that these lectures are free online.
@arjunksivakumar5957
@arjunksivakumar5957 Год назад
It is not free you are paying for the data
@devd_rx
@devd_rx Год назад
is the professor a god??, i am utterly in awe at how fluently he delivers his lecture
@G1364-g5u
@G1364-g5u 9 месяцев назад
Introduction 0:00 - Introduction and Creative Commons License Review and Thermodynamics Structure 0:20 - Review of previous lecture and the structure of thermodynamics Equilibrium in Thermodynamics 0:33 - Emphasis on equilibrium in thermodynamic studies Mechanical Coordinates 1:09 - Discussion of mechanical coordinates in thermodynamics Gases in Thermodynamics 2:07 - Focus on gases, especially ideal gases Temperature and the Zeroth Law 3:01 - Inadequacy of mechanical coordinates alone; introduction of temperature 3:38 - Explanation of the Zeroth Law of Thermodynamics Isotherms in Gases 5:09 - Isotherms in gases, especially dilute gases Internal Energy and System Changes 6:02 - Exploration of system changes and the concept of internal energy Joule's Experiment 8:28 - Joule's experiment and its implications Theoretical Constructs in Thermodynamics 11:28 - Theoretical construction of functions in thermodynamics Quasistatic Processes 13:12 - Quasistatic processes and their importance in accurate calculations Second Law of Thermodynamics and Entropy 15:21 - Introduction of the Second Law of Thermodynamics and entropy Historical Context of the Second Law 17:28 - Historical context and relevance of the Second Law Heat to Work Conversion 20:05 - Heat to work conversion in engines and refrigerators Kelvin and Clausius Formulations 23:05 - Kelvin and Clausius formulations of the Second Law Equivalence of Kelvin and Clausius Statements 27:15 - Logical equivalence of Kelvin and Clausius statements Carnot Engine 33:43 - Carnot Engine and its properties Carnot Cycle with Ideal Gas 39:18 - Description of Carnot cycle using ideal gas Adiabatic Paths in Carnot Cycle 47:19 - Mathematical description of adiabatic paths in the Carnot cycle Efficiency of Carnot Engines 49:00 - Efficiency of Carnot engines between two temperatures Proof of Carnot Engines' Efficiency 53:14 - Proof of Carnot engines' efficiency being the highest Thermodynamic Temperature Scale 57:42 - Introduction of the thermodynamic temperature scale Consistency of Temperature Scales 1:07:59 - Discussion on the consistency of temperature scales Recap and Energy Function in Thermodynamics 1:14:42 - Recap of the lecture and the energy function in thermodynamics Introduction to Clausius' Theorem 1:20:08 - Introduction to Clausius' Theorem and entropy quantification
@sreekarg9553
@sreekarg9553 5 лет назад
Lecture effectively starts at 15:00 Starts 2nd Law at 15:00
@srivishnurendla4894
@srivishnurendla4894 8 лет назад
The professor's son is in the class.... that's so damn awesome!
@rupeshknn
@rupeshknn 4 года назад
@1:06:51 for those who don't understand how
@窦泽华
@窦泽华 3 года назад
@@rupeshknn why not grandson? lol
@rupeshknn
@rupeshknn 3 года назад
@@窦泽华 yeah that's possible too XD
@hamzaakmal758
@hamzaakmal758 2 года назад
Poocha?
@jasonbennett2194
@jasonbennett2194 4 года назад
23:00 to 33:00 is great! Never understood this in other books.
@qingyuewu6429
@qingyuewu6429 4 года назад
There's a lemma used here that's left unproven at around the one hour mark. We need to show that chaining two Carnot engines is equivalent in efficiency to a single Carnot engine. It isn't really hard to prove using the optimization lemma and reversing one of the engines connected to T_2, but it's not trivial. Good to leave as an exercise to reader, though, haha.
@abcd-uw1ic
@abcd-uw1ic 2 года назад
Didn't he implicitly justify it when he showed that the efficiency is a function of the two temperatures?
@alexanderkohler6439
@alexanderkohler6439 Год назад
I don't agree with your view that something was left unproven. At around 0:55 he already proved that all Carnot engines operating between the same pair of temperatures have the same efficiency. The two chained Carnot engines that he considers at around 1:00 when seen as a single combined engine obviously fulfill the general definition of a Carnot engine (definition at 0:34): 1. it is reversible, 2. it is cyclic and 3. it operates only between two reservoirs (T1 and T3). (The third reservoir T2 is irrelevant and can be taken out of the picture by putting Q2 coming out of sub engine 1 directly into sub engine 2.) Hence, the efficiency of the combined engine has to be the same as that of any Carnot engine operating between T1 and T3.
@Megatyler30
@Megatyler30 9 лет назад
#MIT2019 Can't wait to start! I'm so thankful I've been given this chance.
@physicalanish
@physicalanish 3 года назад
waiting for an update
@joshmyer9
@joshmyer9 Год назад
25:55 To the camera operator: we're here a decade later, still appreciating you and your tracking of these blackboards.
@TechnoTribune
@TechnoTribune Год назад
Great lecture from the Iranian professor
@Eta_Carinae__
@Eta_Carinae__ 3 месяца назад
Wrt. the argument for the CE being the most efficient, is there any logical dependence on it being a CE? Like it seems that you can just substitute any refrigerator in there and you could derive a conclusion that u \ge \frac{1}{\omega}. The only thing that the CE seems to contribute is that it allows you to make direct inferences about its capacity as an engine from its capacity as a fridge.
@javieroybin4541
@javieroybin4541 4 года назад
In the postulate of Kelvin´s seconde principle it is necessary to indicate that the intermediate fluid perform a cyclic transformation. Before explaining the Carnot cycle, Carnot's theorem should be taught
@aminchakib3230
@aminchakib3230 3 года назад
awesome course
@solsticetwo3476
@solsticetwo3476 5 лет назад
At 54:00... I don't get the definition of efficiency for the CC. It should be output/input
@BigBen866
@BigBen866 3 года назад
I’m always impressed with lecturers who don’t use notes👌😉 That’s extremely sexy in an intelligent way👍🏾 That’s impressive 👏
@seanmacfoy5326
@seanmacfoy5326 6 месяцев назад
I thought the question at 15:20 was really interesting. I wonder if the answer is along the lines of "yes, but to get such a threshold, you would have to be doing nonequilibrium thermodynamics'
@seanmacfoy5326
@seanmacfoy5326 6 месяцев назад
I mean, it does make sense to ask for a tolerance below which you can guarantee accuracy for a numerical derivative, right? I guess the analogy isn't perfect though.
@michaelmolter6180
@michaelmolter6180 3 года назад
Does the crosses lowercase 'd' have a specific meaning in 'dW' or 'dQ' (other than the usual differential) or is it just the script he uses for 'd'?
@yevgeniygorbachev5152
@yevgeniygorbachev5152 3 года назад
They indicate a path dependence - to determine a differential in work, a path in P-V space must be specified.
@seanpaul2562
@seanpaul2562 4 года назад
that board seriously need to chill it is defying laws of physics in a physics class
@yashbhagwat2269
@yashbhagwat2269 5 лет назад
thank you
@anugrahmathewprasad172
@anugrahmathewprasad172 4 года назад
In the proof at 50:00, How does he prove that the carnot engine is the most efficient engine without using any specific properties about the Carnot engine? Also if we assume an engine E which is more efficient than the carnot engine C, then shouldn't E be able drive the carnot engine and still have some left over work?
@akashpremrajan9285
@akashpremrajan9285 4 года назад
You dont need any specific properties of Carnot engine. You only need that it should be reversible and returns back to its initial state (i.e. is a cyclic process). This is because every Carnot engine no matter how it is constructed has the same efficiency between two temperatures. He proves that Carnot engine is the most efficient by reversing the engine into a refrigerator at 51:30
@maurocruz1824
@maurocruz1824 8 лет назад
Anybody knows an example of Carnot machine "made" with any different thing than a gas?
@farooq8897
@farooq8897 6 лет назад
Carnot engine is imaginary..
@wellesmorgado4797
@wellesmorgado4797 2 года назад
A Carnot engine means an engine working with two external heat sources (a cold one & a hot one) where the cycle is a sequence of adiabatic-isothermal-adiabatic-isothermal processes. It is not possible to construct a Carnot engine that behaves perfectly (that is why I mentioned adiabatic processes instead of isentropic processes) so they will never reach the Carnot efficiency limit. But some cool examples have been built, such as the one in ["Brownian Carnot engine", by Martinez et al, Nature Physics (2016) 67, 12 (1)] where the authors use an optically trapped Brownian particle as the "gas" (a gas of 1 particle).
@nathanlackey3918
@nathanlackey3918 4 года назад
I'm sure it's just some calculus/algebraic move but I can't understand the step exactly at 46:58. If anyone can help I'd really appreciate it!
@Waffleschmerz
@Waffleschmerz 4 года назад
It's calculus: d(3/2 P V) = 3/2 d(P V) = 3/2 (P dV + V dP) = 3/2 P dV + 3/2 V dP. The first step is constant multiple rule (for differentials), the second step is product rule and the third step is just multiplying out.
@nathanlackey3918
@nathanlackey3918 4 года назад
@@Waffleschmerz Thank you! The application of the product rule is what got me.
@thanachotnasawad5200
@thanachotnasawad5200 8 лет назад
Thank you.
@fabiangn8022
@fabiangn8022 Год назад
Gracias.
@混沌-p4y
@混沌-p4y 4 года назад
《粒子的统计力学(共26讲)》 ru-vid.com/group/PLUl4u3cNGP60gl3fdUTKRrt5t_GPx2sRg 第一章 热力学 00:00 上堂课回顾 15:03 第二定律 33:39 卡诺机
@prernasudera8417
@prernasudera8417 3 года назад
I really do not understand why all of that is useful to know!
@jasonbennett2194
@jasonbennett2194 4 года назад
at 53:00, can someone explain how Q_h' > Q_h follows from Clausius? Wouldn't Clausius just say Q_h' - Q_h > Q_c' - Q_c ???
@anugrahmathewprasad172
@anugrahmathewprasad172 4 года назад
Clausius says that the sole result of a process cannot be the transfer of heat from colder body to hotter body. The net process here is the intake of Qh'-Qh heat from the hot reservoir and then depositing Qc'-Qc heat at the cold reservoir. So according to Clausius, the heat must be flowing from hot reservoir to cold reservoir. So both Qh'-Qh and Qc'-Qc should be positive, because if it were negative it would imply that heat is flowing from cold reservoir to hot reservoir(which would violate Clausius). So Qh'-Qh is positive or Qh'>Qh. Also from the net process diagram, It must be that Qh'-Qh=Qc'-Qc so as to satisfy energy conservation.
@mrezahabibypour5153
@mrezahabibypour5153 4 года назад
We can show that this relation that you wrote , is proven by applying 2nd law of thermodynamics in Kelvin form for non-carnot and carnot engine separately. for non-carnot engine , according to 2nd law , we should have Q_h' > Q_c' because (efficiency of non-carnot engine) = W/Q_h' = (Q_h' - Q_c' )/Q_c' = 1 - Q_h'/Q_c' ; so in order that (efficiency of non-carnot engine) < 1 , we must have : Q_h' > Q_c' ; because carnot-engine is a reversible engine , we can say that it's efficiency doesn't change by reversing the process. Now because we have a similar way of conclusion for carnot engine as before for non-carnot engine , we can say this time : Q_h > Q_c for carnot engine. By subtracting the side-by-side of this inequality , we have : Q_h' - Q_h > Q_c' - Q_c ; according to clausius form of 2nd law , the Q_h' - Q_h must be positive.
@이경준-b5e
@이경준-b5e 6 лет назад
I heard lecture 1, and It is awesome that his lecture's logic and connectivity is so great.... after I listened his explanation, I jizzez in my pants... ha.... so good...
@minyminions7064
@minyminions7064 5 лет назад
Thank you so much
@julietonegapatan7728
@julietonegapatan7728 2 года назад
who is this professor?
@mitocw
@mitocw 2 года назад
Mehran Kardar. See the course on MIT OpenCourseWare for more info at: ocw.mit.edu/8-333F13. Best wishes on your studies!
@shlokvaibhav
@shlokvaibhav 2 года назад
@@mitocw @mit openCourseWare, your previous interface was much better, now there is no option to download course content as zip
@subhoghosal7
@subhoghosal7 6 лет назад
Very good lecture.
@aadilshaikh2499
@aadilshaikh2499 9 лет назад
I wanna join MIT !
@ObitoSigma
@ObitoSigma 9 лет назад
That makes two of us! Only two and a half more years! (and hopefully I get accepted!) I really want those physics and math doctorate degrees! :D
@aadilshaikh2499
@aadilshaikh2499 9 лет назад
:) gooood luck
@aadilshaikh2499
@aadilshaikh2499 9 лет назад
wish me too XD
@ObitoSigma
@ObitoSigma 8 лет назад
Good luck. The essays were released two days ago. It's scary to think that we only have three months until our application is due! Where did time fly?!
@nagateja7618
@nagateja7618 6 лет назад
Yo. Did ya get in?
@karabomothupi9759
@karabomothupi9759 4 года назад
We wazzzz Kangz
@Rebel8MAC
@Rebel8MAC 2 года назад
He never used the phrase "no free lunch" and I'm not mad... I'm just disappointed.
@wellesmorgado4797
@wellesmorgado4797 2 года назад
Free-lunches do exist. But they are very hard to get. Ask Mr. Jarzynski.
@pushpenderrathore1447
@pushpenderrathore1447 3 года назад
Try Nptel lecture of thermodynamics of SK SOM
@karabomothupi9759
@karabomothupi9759 4 года назад
Pope Jean Mac
@homeisthesailor
@homeisthesailor Год назад
if you cant explain it to a 12
@karabomothupi9759
@karabomothupi9759 4 года назад
I hate Thermodynamics
@jobatphysics
@jobatphysics Год назад
It means, you don't know about thermodynamics
@raymondreddington6317
@raymondreddington6317 4 года назад
I usually take all of my classes with MIT, this is the first time I am in such a huge disappointment at the lecture. He is so fast and I cannot catch him, and I do not know why is he going over these topics and mathematical procedures without further physical explanation, Please MIT take care of the idea you have international students who need you guys to be a little bit slower.
@eric_welch
@eric_welch 4 года назад
you can pause the video, there are lecture notes to supplement this video and you can look at the text by Huang ...this is MIT, one of the most prestigious schools in the world especially with respect to STEM, you can't expect them to slow down when they expect you to already know thermodynamics, especially when this is a graduate level class ...not to mention this is free
@wellesmorgado4797
@wellesmorgado4797 2 года назад
Learning at MIT is supposed to be like drinking from a fire hose! lol IHTFP
@SuryoyeXD
@SuryoyeXD Год назад
Nerds lol
@richman61
@richman61 2 года назад
his accent makes it difficult to concentrate , no thanks
Далее
3. Thermodynamics Part 3
1:23:44
Просмотров 82 тыс.
1. Introduction to 'The Society of Mind'
2:05:54
Просмотров 1,4 млн
Flipping Robot vs Heavier And Heavier Objects
00:34
Просмотров 17 млн
UAI 2024 Tutorial 4: Geometric Probabilistic Models
2:31:31
The Most Misunderstood Concept in Physics
27:15
Просмотров 15 млн
Noam Chomsky - Why Does the U.S. Support Israel?
7:41
Terence Tao at IMO 2024: AI and Mathematics
57:24
Просмотров 496 тыс.
4. Thermodynamics Part 4
1:18:53
Просмотров 55 тыс.
What Is Reality?
2:32:23
Просмотров 3,1 млн