The ENTROPY EQUATION and its Applications | Thermodynamics and Microstates EXPLAINED

[@ParthGChannel]

Hi friends! You can find the worksheet discussed in this video at this link here: drive.google.com/drive/u/2/folders/1AKTYC6GcpsI7ZnKQEWGIjk2-g6P_R5hR Also, please check out my original video explaining the basics of entropy here: kzbin.info/www/bejne/o5iTmaibhN6id9k Thanks as always for your support :)

[@rajaradi802]

Hi parth what textbook did you use in your undergrad and grad for general relativity

[@adventuresoflife486]

Is there no formula to find microstates???

[@sunithasomalingam2668]

Hello, First time visited this channel. I'm a High school student... Loved this channel... From India.. ❤️😍😍

[@saptarshimondal7324]

I'm very thankful to you Parth... Nowadays, I am going through classical thermodynamics...so this will help me a lot🙏💫💓

[@shristithakur5107]

Your videos help us visualise topics (which is rare and maths we can handle ourselves). Please more videos on thermodynamics

[@anjana8002]

You never fail to impress me.

[@tahashariff22]

Very clearly explained 👌. Hats off to u man🤟

[@szymondudzinski6661]

This is a nice exercise in combinatorics, which is great because even as a math lover, I suck at combinatorics lol

[@anant_singh]

Amazing explanation as always, btw waiting for your video on Double-slit experiment.

[@ramanunnikrishnan7354]

Thanks, I expected a reply for that particular problem and instead got a video explaining it.

[@samferrer]

I enjoy your videos very much. Can you recommend literature about mathematics and physics? Specially subjects about thermodynamics, statistical mechanics and quantum mechanics.

[@saptarshimondal7324]

Please make a series of video regarding grad,div,curl(physical interpretation)...🙏🙏💫💓

[@doinggood3564]

physics videos by eugene khutoryansky..... You can refer this one

[@sarniva]

Saptarshi Mondal where are u from?

[@saptarshimondal7324]

@@sarniva I'm from West Bengal

[@sarniva]

@@saptarshimondal7324 Jnv?

[@saptarshimondal7324]

@@sarniva No brother... where r u from??

[@ashrafmuhammad255]

Sir, its application is not explained, however, hats off to you. you are brilliant.

[@AndrewDotsonvideos]

maxwells demon video wen?

[@ParthGChannel]

The time is almost upon us :D

[@rajaradi802]

Hi andrew

[@rajaradi802]

Hey guys andrew and parth please tell me what books you guys used in undergrad and grad for general relativity

[@djt6fan]

How to interpret the thermodynamical formula of entropy? What is its origin (how did Clausius come up with it)? How can we draw the conclusion of disorderliness from this formula?

[@otakarbeinhauer]

The title of this video is not really representative of this video's content, but i really like your clarity when explaining intermediate topics.

[@doinggood3564]

Still can't wait for your video on NAVIER STOKE'S EQUATION

[@AT-pr8ur]

Can you make a video about Fusion and fission ? Explaining these two things using Conservation of energy. I have read about ITER project , a fusion reactor that would have a gain factor of 10. 50 MW input energy and 500MW output energy.

[@zetacrucis681]

This vid needs a follow-up on indistinguishable particles.

[@enderdelphiki4107]

Is there some type of formula that we could use so that we dont have to find all the microstates by brute force?

[@shivam5105]

For the last 12 Microstates in the q in the document, you can use the formula 4C2(4 choose 2), wherein you choose 2 particles out of the 4 to arrange in the 2 other choices for microstates, and the arranging is done in 2! (2 factorial) = 2 ways, which gives a total of 12 ways (4C2 x 2)

[@shivam5105]

Similarly, for the first 4 microstates, you choose one particles (4C1) and arrange it in the choices for microstates which is only one in this case, 4E (1! = 1) thus the number of microstates are 4C1x 1! = 4, similarly for the next 4

[@lakshthaker6379]

Please make a video on Copenhagen interpretation or Pauli exclusion principle please .. Humble request

[@rajaradi802]

Ya pauli exclusion principle is mind blowing

[@xiaoshen194]

Do you use Halliday Resnick? Or which book do you use?

[@mibrahim4245]

For those who're asking about the reason of using the natural logarithm in the equation, I'm not so sure, but sometimes in engineering we use the logarithm to scale down certain quantities if they are too large "in this case the microstates" .. for example, in antenna power we use the logarithm to get the 'decibels' instead of the crazy large power quantities in watts.. at the same time it still encodes the same information about the antenna gain..

[@rinsim]

The reason of using the ln is to get a quantity which is additive (extensive). The total number of microstates of 2 combined systems is the product of the microstates of the individual systems. Taking the ln, you have the sum. So the entropy becomes an extensive property which is nice.

[@mibrahim4245]

@@rinsim hi, Decibels are also added instead of relatively complex math..

[@sarniva]

Hi partg I don't understand why natural logarithm is used in this formula i go through the Wikipedia link that u gave but still didn't get it well, Can u suggest me a youtube channel or particularly a video where i can understand why natural logarithm are used in physics and chemistry formula. Btw love ur videos , love from India ❤️🔥🇮🇳🇮🇳🇮🇳

[@mibrahim4245]

I'm not sure, but sometimes in engineering we use the logarithm to scale down certain quantities if they are large "in this case the microstates" .. for example in antenna power we use the logarithm to get the decibels instead of the crazy power quantities in watts.. still encodes the same information about the antenna gain..

[@sarniva]

@@mibrahim4245thank u 🤗👍 But i understand why logarithm are used. But don't know why natural logarithm are used in most of the case?

[@mibrahim4245]

@@sarniva I've read some answers about that, some of them said its good because of the additive property where you sometimes need to multiply two microstates and by using the logarithm you can just add them which makes life easier, and more other reasons.. BUT there was no reason of why using the natural logarithm instead of the logarithm to the base ten ! in the end, it won't make a difference, e to the what gives an answer or ten to the what gives an answer...

[@NEILALEXANDERMADRIGAL]

Hello! Any plans of doing the Curls of Maxwell equations? :))

[@rinsim]

Given the number of particles n and the total level of energy m, the number of microstates is bincoeff(m-1,n-1). So for n=4 and m=7 we have 20 indeed. What's the formula to get the number of macrostates which is 3 in this case (i.e. the permutation doesn't matter)? In other words I want to solve the stars and bars problem with indistinguishable bins.

[@ethanlawrence2825]

I think, and I'm not exactly 100% sure, you divide by n!

[@amaralingeshwarakona]

Good way of teaching with animation drawing great

[@ericgrosch8073]

This seems to me to be combinatorial mumbo-jumbo, with no connection to delta Q(1/T2 - 1/T1), the concept of entropy from macro-thermodynamics.

[@rajaradi802]

Hi parth tell me about the books "you" used for general relativity in undergrad and grad please

[@internationalfatherinlaw5585]

Hmmm, I also need some for basic level I am in 10th class cbse (India). I want to understand quantumn mechanics,General relativity with maths but I do not know all basics so it is very tough and I have not started yet!

[@rajaradi802]

@@internationalfatherinlaw5585 see theoretical minimum leonard susskind

[@abhinavjoshi4873]

Niket M first thing you’re gonna have to learn is calculus, they start with go through the basics of calc in 11th in cbse, and properly teach it in 12th, so you can get a headstart by doing it now.

[@gabisimo_]

If it is of any help the books by B. Schutz or S. Carroll are standard for GR, but personally I found Grфn & Hervik pretty useful.

[@rajaradi802]

@@gabisimo_ thanks

[@nvnrmchl]

cool, no pun intended

[@hamdaniyusuf_dani]

Can the energy of a particle be 0?

[@playitback-os7mh]

Why makes entropy generation energy useless? Isnt it still available?

[@aodoemela]

Can you make a physics vs engineering video?

[@anand851]

LOVE IT .∰∞

[@Radostronomy]

sir plz make a video on Quantum field theory..

[@dnstone1127]

So what is the natural log of 20 ?

[@jatin2636]

Hey does an electron gain mass when it is excited to higher energy state.

[@babayaga5d420]

I'm guessing it doesn't

[@jatin2636]

@@babayaga5d420 I think it should since E=mc² when electron return to its ground state the energy is lost as em radiation

[@babayaga5d420]

@@jatin2636 but doesn't the energy absorbed used to increase the energy state? I mean an exited electron moves farther from the nucleus. Which requires energy. And the em wave is the outcome of a moving electron (in this case jumping down). This is also used in antennas. I might be wrong I'm no physicist. And highschool textbooks don't really teach quantum mechanics that deeply. But atomics bomb use the same equation. Which is scary to think that 2gs of mass can destroy cities.

[@jatin2636]

@@babayaga5d420 👍

[@yesnobabu]

You can use combinations formula nCr ,to calculate all combination of (n) objects for a different states(r) of samples.4c1,4c2 4c3, 4c4 to explain the total possible combinations.....For every situation .....But calculating every possible situation makes it lengthy.....Is it not ??.....

[@ParthGChannel]

You're right! But it is important to do the full calculation at least once so you get a good sense of how counting microstates actually works. And then we can use other methods to do it quickly.

[@mach2570]

Awesome

[@ParthGChannel]

Thanks very much :D

[@rajaradi802]

Hi parth also tell me how can i study at Oxford for free are there any scholarships like that? please tell me

[@rajaradi802]

Hi parth please recommend me a book to learn general relativity except sean carrolls and kip thrones and assume that iam a 9th grader

[@rajaradi802]

@Dirk Knight just curious which university are you studying

[@CrLm70ftbl]

What's up!

[@adventuresoflife486]

Is there no formula for finding microstates??????

[@gabirov]

Yes, you can do it with combinations with repetition, the "balls and walls (or boxes)" problem. But you have to group things correctly, for this case you can't apply the formula directly because in every "box" (or between walls) there's always one or more "balls"; the balls are the energy units, and the lowest energy for a particle (box, or between walls) is 1.

[@internationalfatherinlaw5585]

Are you a full time youtuber?

[@muntequa]

Maxwell's 4th equation plss

[@ordinaryclass8508]

Parth you are the next einstein.

[@radha_tanvi]

❤️

[@deepakkadam8789]

In which University your studying? In which country?

[@elizabethmeghana9614]

hi parth , your glasses also participate in the video , it scatters light , scattered light falls on your eyelids , have you observed this !!!

[@photonicsauce7729]

First!

[@ParthGChannel]

Hi :D

[@maxwellsequation4887]

Once, I was as early that big bang was still happening

[@RBSMathletics]

e m.kzbin.info/www/bejne/Y5m7oH-ldraHock

[@omniyambot9876]

as curious idiot highschooler I've learned so much from you, but what? 2 hours and less than a thousand views? sad but people aren't that much interested in these kinds of topics anymore.

[@ParthGChannel]

Thanks for the lovely comment :) Glad you found the video helpful!

[@omniyambot9876]

@@ParthGChannel definitely would always share your channel!

[@mohammadrashedkhan486]

You are looking weird bro.

[@_RIBOT_]

Is there an equation we can use that doesn’t require diagraming every possible particle configuration = 7e?

[@rinsim]

If you have n particles and the total energy is mE, the number of microstates should be the binomial coefficient of m-1 over n-1. In the example with 4 particles and a total energy of 7 you would have 6!/(3!3!) = 20 indeed. I have demonstrated this formula up to n=4 and any m (with of course m >= n). For higher n I think the formula can be demonstrated by induction for any n, although I didn't manage to achieve that.