Newton's Law of Cooling Calculus, Example Problems, Differential Equations

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  • Опубліковано 16 січ 2025

КОМЕНТАРІ • 148

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +11

    Next Video: ua-cam.com/video/ec_9rkWxrYA/v-deo.html
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  • @nighthunder2
    @nighthunder2 3 роки тому +134

    I like how he doesn't skip any step however simple it is..

    • @dominicpotter1273
      @dominicpotter1273 7 місяців тому +2

      This is his secret sauce, never skipping anything means that the thing you don't know how to do will always be covered

  • @temporaryrelief2981
    @temporaryrelief2981 6 років тому +627

    I like how the Organic Chemistry tutor does not only tutor organic chemistry.

    • @dudeisawesome7202
      @dudeisawesome7202 4 роки тому +14

      @The Adel He did bachelor's in Chemistry, I read that while ago on his pateron site

    • @dildobaggins2759
      @dildobaggins2759 4 роки тому +6

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    • @littlejunior8883
      @littlejunior8883 3 роки тому +7

      he tutors your whole high school math and science curriculum

    • @PokeMultiverse
      @PokeMultiverse 2 роки тому +5

      @The Adel a chemistry degree would require one to know all this. Calling himself an organic chemistry tutor is still correct because you need to know all of this for it. any degree that will require organic chemistry will require Math, chemistry, physics, thermo, statics, statistics, material science.

    • @a_hamburger2957
      @a_hamburger2957 Рік тому +1

      @@PokeMultiverse correct, majors in college that require you to take organic chemistry such as BIO, chem, and some engineering majors also require you to take enough calculus that you’ll cover newtons law of cooling.

  • @Bangarang_Fishing
    @Bangarang_Fishing 3 роки тому +40

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    @mokopa 6 років тому +144

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    • @lalakittybaby123
      @lalakittybaby123 5 років тому +4

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    • @vaiebhavpatil2340
      @vaiebhavpatil2340 5 років тому +3

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    • @adheenajose3764
      @adheenajose3764 4 роки тому +1

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      After 2 years of upload I am watching this video with just 1k+ likes

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      @vaiebhavpatil2340 4 роки тому +1

      damn feels weird seeing ur own comment 7 months later

    • @equalcell1555
      @equalcell1555 3 роки тому +1

      Ok I liked

  • @karabo506
    @karabo506 5 років тому +79

    Watched this video an hour before my exam, it came and I got all full 10 marks, thank you so much sir. College would be better if we had a way to clone you and make you the professors in all universities.

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    @tlhomotsemoteme2423 5 років тому +15

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    @jeremiahbautista6708 5 років тому +18

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  • @evelinadavliakou954
    @evelinadavliakou954 3 роки тому +3

    this guy has replaced my math's professor. I dont even go to classes anymore bc its all here lol

  • @Vee13H
    @Vee13H 7 років тому +12

    Thank you so much! I understood it so much better after your clear explanation! I'm actually doing this in a Maths class so will hopefully be looking out for more Maths help from you :)

  • @eduardogaldino5785
    @eduardogaldino5785 3 роки тому +3

    Supreme professor! I was talking about frozen water and wondering how long would it take to go back to liquid phase ,next day I saw your video and what I say there's is a supernatural power behind these calculus. Never knowing I could use differentials! Amazing chemico_ physical world!

  • @reecevalentine8502
    @reecevalentine8502 3 роки тому +2

    Physically have no idea how my engineering maths lecturers made this so complicated - Thank you !

  • @davem45
    @davem45 4 роки тому +2

    Awesome video and great instruction. I actually did this over the weekend with a bottle of soda and worked through this formula first, got my solution and then took another bottle and took the temp every 15mins for 2hrs 45mins and I came within .7 degrees of the math answer which I chalked up to opening and closing the fridge door to get the bottle's temp.

    • @SeanBenson23
      @SeanBenson23 4 роки тому +3

      Awesome comment. The theoretical answer does now always correspond with the real-world answer. This actually brings in a nice discussion on error.

  • @napnap8350
    @napnap8350 5 років тому +38

    Better than Khan Academy especially the voice 10/10

    • @randomdude7982
      @randomdude7982 3 роки тому

      Khan academy video focus on concept only and not simplifying and explaining

    • @franklinhu9185
      @franklinhu9185 3 роки тому +1

      stop hating on khan academy. that man made like a million videos and is trying his best

  • @whiteking80
    @whiteking80 4 роки тому +3

    thnks, super easy to understand your concept. I solved my coursera problem because your lecture. Really appreciate it!

  • @andrewchen861
    @andrewchen861 11 місяців тому +1

    any concept i dont get, this guy has a video on it. bro is a legend.

  • @charlymontague4409
    @charlymontague4409 4 роки тому +5

    i’m not even in physics anymore i’m just trying to make a fancy tea

  • @Darkfoxdemonx
    @Darkfoxdemonx 5 років тому +4

    I love that during this topic in both precalculus and calculus1, we were only given "Ae^kt" and never told about ANY of this temperature stuff, whatsoever. Nobody thought it would be beneficial to let us know.

  • @graceMaximus
    @graceMaximus 8 місяців тому +1

    I love you man
    -Much love from a stressed & depressed calculus student ;)

    • @barniebaldwin
      @barniebaldwin 2 місяці тому

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  • @gabbyperez5847
    @gabbyperez5847 4 роки тому +1

    your videos have taught me my entire college algebra course thank you sir

  • @lemmepaturhead8651
    @lemmepaturhead8651 8 місяців тому +2

    It's really nice to study when it's understandable

  • @stanstewart655
    @stanstewart655 6 місяців тому

    Thank you for this. This video is the best explanation for Newton's Law of Cooling that I have found. Excellent job.

  • @lovesonmukombiwa3093
    @lovesonmukombiwa3093 3 роки тому

    It seems as if you are the real newton, meaning to say you are a great tutor , you have rescued me

  • @gracianicole3861
    @gracianicole3861 2 роки тому +1

    you have now idea how helpful this is to me. thank you for this vid!!

  • @mustafaahsan874
    @mustafaahsan874 2 роки тому

    I AM GRATEFUL TO LEARN FROM THIS CHANNEL. IT HELPED ME MASSIVELY DURING EXAMS.

  • @Katie.bum05
    @Katie.bum05 3 роки тому +3

    literally so helpful for my assignment. Thank you!

  • @SeanBenson23
    @SeanBenson23 4 роки тому +1

    The derivation had me laughing out loud. That’s incredible. So cool

    • @MegumiJA
      @MegumiJA 3 роки тому

      hi, may i ask, why do we need to derivative the formula

    • @SeanBenson23
      @SeanBenson23 3 роки тому +3

      @@MegumiJA Derivatives help us find instantaneous rate of change. We would like to know the instantaneous rate of change of the temperature with respect to time. The rate of change of the temperature with respect to time is proportional to some constant (-k, the decay constant, because we are cooling) and the difference between the starting temperature of the object and the surrounding temperature.
      Hope this helps!

    • @MegumiJA
      @MegumiJA 3 роки тому +2

      @@SeanBenson23 it helps a lot, thank you so much!!

  • @santos4613
    @santos4613 5 років тому +1

    Thank you for deriving it too. Liked

  • @georgesadler7830
    @georgesadler7830 3 роки тому +1

    MR. Organic Chemistry Tutor, thank you for a massive analysis of the classical Newton Law of Cooling and its relationship to initial and final temperature.

  • @victormira6133
    @victormira6133 Рік тому

    Thank you so much! your videos help simplify math.

  • @ichangednametoamorecringyo1489
    @ichangednametoamorecringyo1489 2 роки тому

    I legit still have no idea how this works but the example did help me on one problem

  • @bradzepfan
    @bradzepfan 2 роки тому

    very well done. good luck in all your endeavors

  • @bigyanadh4952
    @bigyanadh4952 6 років тому +2

    Thanks alot man...crystal cleared

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    @nimshanayomi4221 Рік тому

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    @shravaninayak7311 7 років тому +8

    thank u sir......💐

  • @THEWouter1212
    @THEWouter1212 3 роки тому

    This was really helpful, much appreciated.

  • @majeedhamid8928
    @majeedhamid8928 4 роки тому +1

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    @sydneyloo5866 3 роки тому

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  • @EmmanuelAmetotobariOlakada
    @EmmanuelAmetotobariOlakada 4 місяці тому

    👍 nicely done

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    @shafawiyono8365 2 роки тому

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    @sibunabirwasergeon3428 Рік тому

    Very good lecturer

  • @DanielPerol-eu2ck
    @DanielPerol-eu2ck 7 місяців тому

    The unsung hero of STEM students far and wide..

  • @lovesonmukombiwa3093
    @lovesonmukombiwa3093 3 роки тому

    This is great sir , thank you

  • @senny-
    @senny- 9 місяців тому

    Can you (please) make a video about Simple Chemical Conversion?

  • @emmanuelking5933
    @emmanuelking5933 2 роки тому

    top notch teaching

  • @kevinperkins7123
    @kevinperkins7123 4 роки тому

    This is an awesome video!

  • @javidmark4863
    @javidmark4863 6 років тому

    Very Meaningful.thanks

  • @hassanshahzad946
    @hassanshahzad946 4 роки тому

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    @chiliwynwhizzy6187 2 роки тому

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    @DK-ik9xv 4 роки тому

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  • @illangageperera1605
    @illangageperera1605 5 років тому

    Explaining good👍

  • @thembelssengwayo6896
    @thembelssengwayo6896 Рік тому

    Thank you. You simplified a monster.......😂😂😂😂😂😂

  • @3ka-MC
    @3ka-MC Рік тому +1

    6:15

  • @Fw.ife79
    @Fw.ife79 5 місяців тому

    My teacher--2 hours
    You----23 minute💀💀
    You are blessed Sir🙌

  • @jogennoble4931
    @jogennoble4931 5 років тому

    Very helpful for students like me.

  • @maegayagi2639
    @maegayagi2639 5 років тому +2

    6:05 I though that its 100-50 not 80-50. Could u please explain in that part... Thanks. In advance

    • @amirhanna5990
      @amirhanna5990 5 років тому +1

      He corrects himself shortly after.

    • @Unconqueredxd
      @Unconqueredxd 4 роки тому

      I don't know if you figured it out, but he explains the reason he did that. We are trying to figure out how much LONGER it is going to take going from 80 degrees to 70 degrees.

    • @tomatrix7525
      @tomatrix7525 4 роки тому

      Amir Hanna, no he did not as he is correct. T0 in this case is 80 because we are rinding the time from 80 to 70 degrees, here we are beginning at 80. That is why. Imagine we are starting at 80 not 100, as we already know 100 to 80 takes 12 mins. If we find 80 to 70, which he does, we can add it to 12 to find 100 to 70, thus we let 80 be T0

  • @robyrogo1843
    @robyrogo1843 4 роки тому +4

    Can anyone explain me why when he integrated 1/(T-T_s) to be ln(T-T_s) he didn't add the constant C , but when he integrated -k he added the constant?

    • @kushagrashrivastava9452
      @kushagrashrivastava9452 4 роки тому

      It doesn't create a difference. Suppose, after integration, he had a constant on both LHS and RHS,
      LHS + m = RHS + n
      We can now subtract m on both sides,
      LHS = RHS +n - m
      Now as n and m are both arbitrary constants, we can let n - m = c
      Thus, LHS = RHS + c
      So he just skipped this one step of adding constants on both sides. Hope this helps :)

    • @robyrogo1843
      @robyrogo1843 4 роки тому

      @@kushagrashrivastava9452 yeah i got it some time ago but thanks so much for your time anyway!

    • @robyrogo1843
      @robyrogo1843 4 роки тому +1

      @@kushagrashrivastava9452 the friend who helped me used the same words ,, he just skipped one step " :)

    • @SeanBenson23
      @SeanBenson23 3 роки тому

      Fantastic question

  • @erzcav4793
    @erzcav4793 4 роки тому

    Thanks much much!♥♥♥♥

  • @ezzhaggag4588
    @ezzhaggag4588 2 роки тому

    I'm a freakin art student why do I have to go through this suffering.... you saved my from failing physics

  • @emergile7584
    @emergile7584 4 роки тому

    Can you discuss this
    A temperature with an initial temperature of 70° is placed in a room with a controlled temperature of 22 degrees after 3 minutes the thermometer with 60 degreesdetermine how long will the thermometer reads 30° determine also on the reading after 8 minutes

  • @iryngathuri5081
    @iryngathuri5081 3 роки тому

    Perfect👌

  • @emmanuelking5933
    @emmanuelking5933 2 роки тому

    forever grateful

  • @jakeflynn1254
    @jakeflynn1254 7 років тому +1

    this helped a lot

  • @finnmassoud5765
    @finnmassoud5765 6 років тому +9

    Mark Wahlberg is that you?

  • @tylerr1272
    @tylerr1272 День тому

    12:28 for diff eq!

  • @abhijitgogoi8348
    @abhijitgogoi8348 5 років тому

    Thanks a lot sir

  • @johnwhite7253
    @johnwhite7253 2 роки тому

    What is the formula for law of heating?

  • @Oscar-jg9gg
    @Oscar-jg9gg 4 роки тому

    If what you said is true, then why does the object reach room temperature. Wouldn't it take an infinite amount of time?

  • @jamesconlon5318
    @jamesconlon5318 Рік тому

    great vid

  • @alexkemos3176
    @alexkemos3176 2 роки тому

    Isnt the first equation e^kt (not e^-kt)?

  • @scritch9549
    @scritch9549 Рік тому

    How do I find K of real materials?

  • @alexhagdahl3321
    @alexhagdahl3321 3 роки тому

    6:04 why is the initial temperature equal to 80 there and not 100?

    • @alexhagdahl3321
      @alexhagdahl3321 3 роки тому

      nvm lol 21.52 - 12 minutes = 9.52 minutes LONGER

    • @alexhagdahl3321
      @alexhagdahl3321 3 роки тому

      I should probably finish the video before asking for help

    • @blackeli
      @blackeli Рік тому

      @@alexhagdahl3321 thanks for your comment I was turning my brain upside down tryin to figure out why i got 21,52 instead of 9,52

  • @salamatuabubakar2839
    @salamatuabubakar2839 4 роки тому

    what if the object is placed in water?? will Ts still be a constant??

  • @sceintificplus3174
    @sceintificplus3174 4 роки тому

    it is good content

  • @trustme835
    @trustme835 7 років тому

    wow respect from nepal

  • @mariejoymanaga1955
    @mariejoymanaga1955 5 років тому

    thank you

  • @takiawashington2253
    @takiawashington2253 7 років тому +3

    80 X 12?

  • @garikayichief9531
    @garikayichief9531 2 роки тому

    good guy

  • @Idekato
    @Idekato 11 місяців тому

    what is dt? I knows its delta time but how do I find delta time.

  • @dilransasenavirathna1330
    @dilransasenavirathna1330 5 років тому

    Thanks

  • @manueltouyaa6800
    @manueltouyaa6800 2 роки тому

    what if you don't have the time for an object at x degrées to cool to y degrées?

  • @notmehere2
    @notmehere2 Рік тому

    Thankyuuuu

  • @thatomofolo452
    @thatomofolo452 Рік тому

    ✍✍✍noted with thanks!!!

  • @illangageperera1605
    @illangageperera1605 5 років тому

    Why did you use e

  • @luluartbymengxuan8375
    @luluartbymengxuan8375 11 місяців тому

    this is cool

  • @birhanuworku8257
    @birhanuworku8257 5 років тому

    excuese sir,i don't know your name,what is your name?

  • @mrincognito2371
    @mrincognito2371 Рік тому

    All the billionaires in the world, and you deserve to be one of them

  • @orozcodiego7905
    @orozcodiego7905 4 роки тому

    18:04 why does the dT dissapear from the equation?

  • @itsbetty5070
    @itsbetty5070 7 років тому +3

    where did you get the 80 from?in the first beginning, I don't get it.

    • @lf198
      @lf198 6 років тому

      i think it should be 100

    • @zachp2389
      @zachp2389 5 років тому +1

      it is because at 12 minutes the object cools to 80 degrees as stated in the problem

    • @stanza2768
      @stanza2768 5 років тому +1

      at T(12) the object has already cooled to 80 degrees

  • @AMC1603
    @AMC1603 2 роки тому

    If this man says natural log wrong again I'm gonna freak

  • @34_ophuthuan90
    @34_ophuthuan90 3 місяці тому

    why T0 is =80 i dont get it

  • @vaiebhavpatil2340
    @vaiebhavpatil2340 4 роки тому

    2 min silence for those who can't find this vid

  • @trustme835
    @trustme835 7 років тому

    can u help me to solve this using same methods u describe here?..A substance takes 3 min in cooling from 50C to 45 C and takes 5 min in cooling from 45C to 40C. What is the temperature of surrounding?

  • @JANMAICALAGUMBAY
    @JANMAICALAGUMBAY Місяць тому

    Disliking his videos feels like a sin🥲

  • @davidearlsantos5628
    @davidearlsantos5628 5 років тому

    Your first example is wrong. Try checking it. At t=9.5mins the temperature will be 50 not 70.

    • @davidearlsantos5628
      @davidearlsantos5628 5 років тому +1

      It should be 2.16 minutes for the temperature to be 70.

    • @ninoacierto8670
      @ninoacierto8670 5 років тому +1

      at t=0 the T must be 100C and t=12 T must be 80C. Am I right??

  • @sanopann1896
    @sanopann1896 Рік тому

    watching this while don't have any idea about derivative. me stop school 😨😨😨😣😵‍💫😵 whats going here

  • @pikapikaproduction7232
    @pikapikaproduction7232 4 роки тому

    Any UTP students here ?

  • @kenesu1281
    @kenesu1281 7 місяців тому

    💖✨

  • @offdnl7641
    @offdnl7641 5 років тому

    sir onde brought me here

  • @34_ophuthuan90
    @34_ophuthuan90 3 місяці тому

    nah turning the T0 into =80 is a bad idea