Teplota a teplo sú všade okolo nás - od varenia... Show more
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Updated Mar 17, 2026
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Teplota a tepelná energia: Merania a vlastnosti materiálov
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Základné pojmy - teplota a teplo
Keď držíš horúcu šálku čaju, tvoje ruky cítia teplotu - to je mierka toho, ako rýchlo sa pohybujú častice v látke. Čím vyššia teplota, tým divokejšie "tancujú" atómy a molekuly vo vnútri.
Teplo je úplně iná vec - to je energia, ktorá putuje z teplejšieho miesta na chladnejšie. Predstav si to ako rieku energie, ktorá vždy tečie jedným smerom, kým sa všetko nevyrovná na rovnakú teplotu.
Vnútorná energia je celková energia všetkých častíc v látke. Tepelná rovnováha nastane, keď si dve telesá vymenia dostatok tepla a majú rovnakú teplotu - vtedy už energia "neprúdi".
💡 Tip na skúšku: Nikdy si nezamieňaj teplotu (stav) s teplom (energia)! To je najčastejšia chyba v testoch.
Meranie teploty a teplotné stupnice
Teplomery fungují na jednoduchom principe - väčšina látok sa pri zahrievaní rozťahuje. Kvapalinové teplomery majú ortuť alebo lieh, ktorý stúpa v tenkej trubičke. Bimetalové teplomery používajú dva rôzne kovy, ktoré sa ohýbajú pri zmene teploty.
Musíš poznať dve teplotné stupnice. Celziova (°C) je pre bežný život - voda mrzne pri 0°C a vrie pri 100°C. Kelvinova (K) je pre vedu - začína na absolútnej nule , kde sa zastaví pohyb častíc.
Prevod medzi stupnicami je easy: T(K) = t(°C) + 273,15. Dôležité je, že zmena teploty o 1°C = zmena o 1K, takže v počtoch nemusíš nič prevádzať!
💡 Zaujímavosť: Absolútna nula je ako "tepelná smrť" - pri 0K sa všetky častice zastavia.
Tepelná rozťažnosť - prečo sa veci "nafukujú"
Asi si si všimol dilatačné škáry na mostoch alebo chodníkoch - to nie sú chyby stavbárov, ale múdre riešenie! Materiály sa pri zahrievaní rozťahujú a pri ochladení sťahujú.
Pre dĺžkovú rozťažnosť používame vzorec: Δl = l₀ · α · Δt. Alpha (α) je súčiniteľ rozťažnosti - každý materiál má svoj vlastný. Železné koľajnice sa môžu predĺžiť o niekoľko centimetrov!
Objemová rozťažnosť funguje podobne: ΔV = V₀ · β · Δt. Tu je beta (β) približne trikrát väčšia ako alfa.
Anomália vody je výnimka z pravidla - medzi 0°C a 4°C sa voda pri zahrievaní sťahuje! To zachraňuje rybky v zime, lebo ľad pláva na povrchu a izoluje vodu pod ním.
💡 Pre život: Preto sa plastové fľaše v mrazničke "roztrhnú" - voda sa pri zmrazení rozšíri.
Merná tepelná kapacita - prečo sa veci ohrievajú rýchlo či pomaly
Merná tepelná kapacita (c) ti povie, ako "tvrdohlavá" je látka pri ohrievaní. Voda je extra tvrdohlavá - potrebuje kopec energie na ohriatie. Kovy sú oveľa "poddajnejšie".
Základný vzorec: Q = m · c · Δt. Q je teplo v jouloch, m hmotnosť, c merná tepelná kapacita a Δt zmena teploty.
Preto sa kovová lyžička v horúcom čaju ohreje behom sekúnd, ale voda v kanvici trvá minúty. Voda má vysoké c, takže sa pomaly ohrieva aj chladne - ideálne na radiátory!
💡 Praktický tip: Keď riešiš úlohy, vždy si najprv vypíš známe hodnoty a over si jednotky - vzorce fungujú len s kg, m, s, K, J.
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What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Teplota a tepelná energia: Merania a vlastnosti materiálov
Teplota a teplo sú všade okolo nás - od varenia cez počasie až po fungovanie radiátorov. Tieto fyzikálne pojmy sú základ termodynamiky a určite sa s nimi stretneš na skúškach z fyziky.
Základné pojmy - teplota a teplo
Keď držíš horúcu šálku čaju, tvoje ruky cítia teplotu - to je mierka toho, ako rýchlo sa pohybujú častice v látke. Čím vyššia teplota, tým divokejšie "tancujú" atómy a molekuly vo vnútri.
Teplo je úplně iná vec - to je energia, ktorá putuje z teplejšieho miesta na chladnejšie. Predstav si to ako rieku energie, ktorá vždy tečie jedným smerom, kým sa všetko nevyrovná na rovnakú teplotu.
Vnútorná energia je celková energia všetkých častíc v látke. Tepelná rovnováha nastane, keď si dve telesá vymenia dostatok tepla a majú rovnakú teplotu - vtedy už energia "neprúdi".
💡 Tip na skúšku: Nikdy si nezamieňaj teplotu (stav) s teplom (energia)! To je najčastejšia chyba v testoch.
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Meranie teploty a teplotné stupnice
Teplomery fungují na jednoduchom principe - väčšina látok sa pri zahrievaní rozťahuje. Kvapalinové teplomery majú ortuť alebo lieh, ktorý stúpa v tenkej trubičke. Bimetalové teplomery používajú dva rôzne kovy, ktoré sa ohýbajú pri zmene teploty.
Musíš poznať dve teplotné stupnice. Celziova (°C) je pre bežný život - voda mrzne pri 0°C a vrie pri 100°C. Kelvinova (K) je pre vedu - začína na absolútnej nule , kde sa zastaví pohyb častíc.
Prevod medzi stupnicami je easy: T(K) = t(°C) + 273,15. Dôležité je, že zmena teploty o 1°C = zmena o 1K, takže v počtoch nemusíš nič prevádzať!
💡 Zaujímavosť: Absolútna nula je ako "tepelná smrť" - pri 0K sa všetky častice zastavia.
Sign up to see the contentIt's free!
Access to all documents
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Tepelná rozťažnosť - prečo sa veci "nafukujú"
Asi si si všimol dilatačné škáry na mostoch alebo chodníkoch - to nie sú chyby stavbárov, ale múdre riešenie! Materiály sa pri zahrievaní rozťahujú a pri ochladení sťahujú.
Pre dĺžkovú rozťažnosť používame vzorec: Δl = l₀ · α · Δt. Alpha (α) je súčiniteľ rozťažnosti - každý materiál má svoj vlastný. Železné koľajnice sa môžu predĺžiť o niekoľko centimetrov!
Objemová rozťažnosť funguje podobne: ΔV = V₀ · β · Δt. Tu je beta (β) približne trikrát väčšia ako alfa.
Anomália vody je výnimka z pravidla - medzi 0°C a 4°C sa voda pri zahrievaní sťahuje! To zachraňuje rybky v zime, lebo ľad pláva na povrchu a izoluje vodu pod ním.
💡 Pre život: Preto sa plastové fľaše v mrazničke "roztrhnú" - voda sa pri zmrazení rozšíri.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
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Merná tepelná kapacita - prečo sa veci ohrievajú rýchlo či pomaly
Merná tepelná kapacita (c) ti povie, ako "tvrdohlavá" je látka pri ohrievaní. Voda je extra tvrdohlavá - potrebuje kopec energie na ohriatie. Kovy sú oveľa "poddajnejšie".
Základný vzorec: Q = m · c · Δt. Q je teplo v jouloch, m hmotnosť, c merná tepelná kapacita a Δt zmena teploty.
Preto sa kovová lyžička v horúcom čaju ohreje behom sekúnd, ale voda v kanvici trvá minúty. Voda má vysoké c, takže sa pomaly ohrieva aj chladne - ideálne na radiátory!
💡 Praktický tip: Keď riešiš úlohy, vždy si najprv vypíš známe hodnoty a over si jednotky - vzorce fungujú len s kg, m, s, K, J.
Sign up to see the contentIt's free!
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Sign up to see the contentIt's free!
Access to all documents
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Join milions of students
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user