The Ideal Gas Law: A Theoretical Derivation

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  • Опубликовано: 7 фев 2025
  • This video provides a theoretical derivation of the ideal gas law.
    Some of the assumptions made in the model are as follows:
    1. The gas molecules are small point masses
    2. Collisions between molecules and walls are perfectly elastic
    3. The distance between molecules is, on average, much larger than the size of the molecules
    4. The molecules have no preferred direction of motion and are moving randomly
    5. Newton's Laws apply
    6. There is no interaction between molecules except for their collisions (no repulsion or attraction)

Комментарии • 35

  • @TarunKhubchandani
    @TarunKhubchandani 8 лет назад +20

    Thanks so much! This was probably the clearest explanation I've seen!

  • @nomakemal1136
    @nomakemal1136 3 года назад +1

    Love from Pakistan ..great job sir

  • @Alex-xu3mo
    @Alex-xu3mo Год назад +1

    It is so amazing to see you redrew cube diagram many times to make it appear on new papers!

  • @davidbettencourt9544
    @davidbettencourt9544 8 лет назад +20

    great video man, really a shame you don't have more support

  • @mennag6123
    @mennag6123 4 года назад +2

    I don’t understand why people give a thousand likes on videos that are useless but care less when it comes to important useful stuff

  • @Kreller4241
    @Kreller4241 9 лет назад +5

    Good job! This is clear and straightforward. Thanks a bunch! Your gift to the world of physics and chemistry learning is appreciated.

  • @muhammadomarkhayyamkhan3593
    @muhammadomarkhayyamkhan3593 Месяц назад

    Very well explained. Please make videos on thermodynamics II

  • @sugarlaura22
    @sugarlaura22 9 лет назад +6

    Great Video! Clearly explained, if you're not a teacher, you should be!

  • @tmujir955
    @tmujir955 2 года назад +1

    It is a superb explanation, perfectly paced.

  • @sumnaimran8902
    @sumnaimran8902 7 лет назад +3

    Great video 👍👍my all confusions are gone ☺☺😊Thank you so much 😊😊

  • @wojteklipiec5776
    @wojteklipiec5776 Год назад

    Best way of explanation I've seen on this one.

  • @TheDrIanGregory
    @TheDrIanGregory 4 года назад +1

    Well done

  • @azice6034
    @azice6034 6 лет назад +2

    👏🏻 bravo, that was fantastic, such a clear explanation

  • @kaunsah1596
    @kaunsah1596 6 лет назад +3

    Omg, Thank you, trying to find a good explanation for long time!

  • @veerabhadrudu5470
    @veerabhadrudu5470 4 года назад

    Extraordinary making.....sir. we are awaiting your subjective presentation or explanation sir. Thank you so much sir. Really cool and in-depth working sir..

  • @griffithfimeto3387
    @griffithfimeto3387 3 года назад +1

    Thank you sir ♡ i will always be grateful to you ♡ oh god he saved me

  • @atriagotler
    @atriagotler 3 года назад +1

    Awesome! So clear.

  • @philwesom8784
    @philwesom8784 7 лет назад +1

    nice explanation :)

  • @jacobvandijk6525
    @jacobvandijk6525 4 года назад +1

    @ 4:34 The total force on ONLY ONE SIDE OF THE BOX, assuming there are N particles pushing on that side, at the same time. What about the other sides? Don't they feel any pressure? In my opinion, the pressure in a box is equally spread throughout the box. @ 6:28 Only 1/3N is hitting one side of the box.

  • @MrYahya0101
    @MrYahya0101 3 года назад +1

    At 5:45 shouldn't the v^2 have a line above it, signifying it is the average of v^2?

    • @sneakypress
      @sneakypress 2 года назад

      Yes Youssef, you are correct. It is the average, (i.e. the sum of the averages), of the square of the velocity in each of the three directions (dimensions) x, y and z.

  • @dippai9407
    @dippai9407 6 лет назад +1

    Thank you very much Sir.

  • @h.w.k.ishara8060
    @h.w.k.ishara8060 2 года назад +1

    acc to definition,delta t stands for the time to change the momentum,so why dont we take the impact time ? pls explain.

  • @getarable
    @getarable 4 года назад +1

    Very clear video thank you. Put can you explain why you assumed the collision is completely elastic ?

    • @greatestlists7810
      @greatestlists7810 3 года назад +2

      In physics every collision is actually elastic. Inelastic collisions are simply classical mechanics' way of approximating collisions of large, macroscopic bodies. In this model, the bodies colliding are particles or molecules. Every collision is elastic. No exceptions.

  • @humor5211
    @humor5211 4 года назад +1

    5:00 why this volume is a cube?

  • @rohamnavidi8010
    @rohamnavidi8010 2 года назад

    Thanks!

  • @mohamedgamal7600
    @mohamedgamal7600 6 лет назад +1

    Question, How come we use delta P = 2 mVx , and the V here is for velocity then you used v= x/t where V here stands for speed not velocity and took its valuue to plug it in the delta P = 2 mvx . explanation please?

    • @clarijani
      @clarijani  6 лет назад +1

      deltaP=2mVx and V=deltaD/deltaT where v is still velocity, D is distance, and T is time. Velocity is a vector and has a direction where as speed does not. Speed is distance divided by time where velocity is change in distance over change in time.

    • @marcrogue5268
      @marcrogue5268 6 лет назад +1

      he later used the 3 dimensional model assuming the particle velocity to be the same in all directions. Knowing the actual velocity of every particle is impossible but that is why we have averages

  • @TheBigBangggggg
    @TheBigBangggggg 7 лет назад +2

    In college you all will understand (hopefully) that this calculation just is NOT RIGHT.

    • @agustingramajo8350
      @agustingramajo8350 7 лет назад

      Why is it not right?

    • @sneakypress
      @sneakypress 2 года назад

      It’s not a calculation, it is a derivation. And it is not right, and it is not wrong. This derivation is used as (represents) a scientific model for the kinetic theory of gases. And is very useful to help understand the basic principles of gas dynamics, and the relationship between the macroscopic and microscopic properties of matter (at least in chemistry, anyway). Bet you’re a physicist. 🥸

    • @TheBigBangggggg
      @TheBigBangggggg 2 года назад

      @@sneakypress Good bet ;-)