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Updated May 13, 2026

6 pages

Različni Načini Izražanja Koncentracij Raztopin

Koncentracije raztopin ti povedo, kako "močna" je tvoja raztopina -... Show more

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# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Osnovni pojmi koncentracij

Vsaka raztopina je sestavljena iz topila (navadno vode) in topljenca (snov, ki jo raztapljamo). Koncentracija ti pove razmerje med njima, kar je ključno za lastnosti raztopine.

Poznati moraš tri osnovne pojme: topilo je snov v presežku (večinoma voda), topljenec je snov v manjši količini, koncentracija pa je merilo za količino topljenca v raztopini.

Pozor! Pri formulah vedno preveri, ali potrebuješ maso topila ali maso celotne raztopine - to je pogosta napaka pri testih.

Masa raztopine je vedno masa topljenca + masa topila. Pri volumnih to ni vedno res, vendar pri naših nalogah to ponavadi predpostavimo.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Masni in volumski delež

Masni delež (w) ti pove, kolikšen del celotne mase predstavlja topljenec. Formula je preprosta: masa topljenca deljeno z maso celotne raztopine. Rezultat je brez enote, pogosto ga izražamo v odstotkih.

Primer iz življenja: 9% kis pomeni 9 g ocetne kisline v 100 g celotnega kisa. Preostalo je voda.

Volumski delež (φ) deluje enako, samo z volumni namesto mas. Uporablja se pri tekočinah - žganje z "40% vol." pomeni 40 mL alkohola v 100 mL pijače.

Pomembno! Volumni tekočin se pri mešanju ne seštevajo vedno natančno zaradi interakcij med molekulami.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Množinska koncentracija - najpomembnejša!

Množinska koncentracija (c) je kralj vseh koncentracij v kemiji. Pove ti število molov topljenca v enem litru raztopine. Enota je mol/L ali preprosto M.

Formula je c = n/V, kjer je n množina snovi in V volumen raztopine v litrih. Za množino snovi potrebuješ n = m/M (masa deljeno z molsko maso).

To povezavo med maso, moli in koncentracijo res moraš obvladati - brez nje ne boš rešil stehiometrijskih nalog.

Nasvet! Vedno pretvori volumen v litre, sicer bo rezultat napačen.

Predstavljaj si: 1-molarna raztopina pomeni 1 mol topljenca v natanko 1 litru končne raztopine.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Masna koncentracija in praktični primeri

Masna koncentracija (γ) pove maso topljenca v enem litru raztopine. Formula je γ = m/V z enoto g/L. Ne smeš je zamenjati z gostoto!

Razlika je ključna: masna koncentracija = masa topljenca/volumen raztopine, gostota = masa celotne raztopine/volumen raztopine.

Poglejmo si praktičen primer: 200 g vode + 50 g sladkorja = 250 g raztopine. Masni delež sladkorja je 50/250 = 0,20 ali 20%.

Hitro preverjanje: Pri masnem deležu vedno seštej maso topljenca IN topila za celotno maso!

Za množinsko koncentracijo pa potrebuješ molsko maso. NaCl ima M = 58,44 g/mol, torej 11,7 g NaCl v 0,5 L = 0,40 M raztopina.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Napredni izračuni in povezave

Najtežje naloge povezujejo različne vrste koncentracij. Za pretvarjanje med masnim deležem in množinsko koncentracijo potrebuješ gostoto raztopine.

Postopek je sistematičen: vzameš določen volumen (npr. 1 L), z gostoto izračunaš maso raztopine, z masnim deležem dobiš maso topljenca, nato pa množino in končno koncentracijo.

Te povezave so zahtevne, vendar sledijo logiki. Ne učiti se jih na pamet - razumi postopek!

Ključni nasveti: Vedno preveri enote, ne zamenjaj masne koncentracije z gostoto, množinsko koncentracijo obvladaj do potankosti.

Formula c = n/V in n = m/M sta tvoji najboljši prijateljici pri stehiometriji.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Povzetek za hitro ponavljanje

Imamo štiri glavne vrste koncentracij, vsaka s svojo uporabo:

Masni delež (w): brez enote, razmerje mas, uporaben za trdne snovi. Volumski delež (φ): brez enote, razmerje volumnov, za tekočine. Množinska koncentracija (c): mol/L, najpomembnejša v kemiji. Masna koncentracija (γ): g/L, masa na volumen.

Vsaka ima svojo formulo in uporabo. Množinska koncentracija je najvažnejša za kemijske reakcije in izračune.

Za uspeh pri testih: Obvladaj pretvarjanje enot, poznaj razliko med maso topila in raztopine, ter nikoli ne zamenjaj masne koncentracije z gostoto!

Koncentracije niso težke, če razumeš osnove in vadiš z različnimi primeri.



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.

Most popular content

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

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

 

Kemija

46

Updated May 13, 2026

6 pages

Različni Načini Izražanja Koncentracij Raztopin

Koncentracije raztopin ti povedo, kako "močna" je tvoja raztopina - torej koliko snovi je raztopljene v določeni količini topila. To ni samo teorija - uporabljamo jih pri doziranju zdravil, pripravi pijač in celo domačih čistil.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

Osnovni pojmi koncentracij

Vsaka raztopina je sestavljena iz topila (navadno vode) in topljenca (snov, ki jo raztapljamo). Koncentracija ti pove razmerje med njima, kar je ključno za lastnosti raztopine.

Poznati moraš tri osnovne pojme: topilo je snov v presežku (večinoma voda), topljenec je snov v manjši količini, koncentracija pa je merilo za količino topljenca v raztopini.

Pozor! Pri formulah vedno preveri, ali potrebuješ maso topila ali maso celotne raztopine - to je pogosta napaka pri testih.

Masa raztopine je vedno masa topljenca + masa topila. Pri volumnih to ni vedno res, vendar pri naših nalogah to ponavadi predpostavimo.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

Masni in volumski delež

Masni delež (w) ti pove, kolikšen del celotne mase predstavlja topljenec. Formula je preprosta: masa topljenca deljeno z maso celotne raztopine. Rezultat je brez enote, pogosto ga izražamo v odstotkih.

Primer iz življenja: 9% kis pomeni 9 g ocetne kisline v 100 g celotnega kisa. Preostalo je voda.

Volumski delež (φ) deluje enako, samo z volumni namesto mas. Uporablja se pri tekočinah - žganje z "40% vol." pomeni 40 mL alkohola v 100 mL pijače.

Pomembno! Volumni tekočin se pri mešanju ne seštevajo vedno natančno zaradi interakcij med molekulami.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

Množinska koncentracija - najpomembnejša!

Množinska koncentracija (c) je kralj vseh koncentracij v kemiji. Pove ti število molov topljenca v enem litru raztopine. Enota je mol/L ali preprosto M.

Formula je c = n/V, kjer je n množina snovi in V volumen raztopine v litrih. Za množino snovi potrebuješ n = m/M (masa deljeno z molsko maso).

To povezavo med maso, moli in koncentracijo res moraš obvladati - brez nje ne boš rešil stehiometrijskih nalog.

Nasvet! Vedno pretvori volumen v litre, sicer bo rezultat napačen.

Predstavljaj si: 1-molarna raztopina pomeni 1 mol topljenca v natanko 1 litru končne raztopine.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

Masna koncentracija in praktični primeri

Masna koncentracija (γ) pove maso topljenca v enem litru raztopine. Formula je γ = m/V z enoto g/L. Ne smeš je zamenjati z gostoto!

Razlika je ključna: masna koncentracija = masa topljenca/volumen raztopine, gostota = masa celotne raztopine/volumen raztopine.

Poglejmo si praktičen primer: 200 g vode + 50 g sladkorja = 250 g raztopine. Masni delež sladkorja je 50/250 = 0,20 ali 20%.

Hitro preverjanje: Pri masnem deležu vedno seštej maso topljenca IN topila za celotno maso!

Za množinsko koncentracijo pa potrebuješ molsko maso. NaCl ima M = 58,44 g/mol, torej 11,7 g NaCl v 0,5 L = 0,40 M raztopina.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

Napredni izračuni in povezave

Najtežje naloge povezujejo različne vrste koncentracij. Za pretvarjanje med masnim deležem in množinsko koncentracijo potrebuješ gostoto raztopine.

Postopek je sistematičen: vzameš določen volumen (npr. 1 L), z gostoto izračunaš maso raztopine, z masnim deležem dobiš maso topljenca, nato pa množino in končno koncentracijo.

Te povezave so zahtevne, vendar sledijo logiki. Ne učiti se jih na pamet - razumi postopek!

Ključni nasveti: Vedno preveri enote, ne zamenjaj masne koncentracije z gostoto, množinsko koncentracijo obvladaj do potankosti.

Formula c = n/V in n = m/M sta tvoji najboljši prijateljici pri stehiometriji.

# Koncentracije raztopin

Uvod v koncentracije raztopin

Koncentracija raztopine nam pove, koliko topljenca je raztopljenega v določeni
koli

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

Povzetek za hitro ponavljanje

Imamo štiri glavne vrste koncentracij, vsaka s svojo uporabo:

Masni delež (w): brez enote, razmerje mas, uporaben za trdne snovi. Volumski delež (φ): brez enote, razmerje volumnov, za tekočine. Množinska koncentracija (c): mol/L, najpomembnejša v kemiji. Masna koncentracija (γ): g/L, masa na volumen.

Vsaka ima svojo formulo in uporabo. Množinska koncentracija je najvažnejša za kemijske reakcije in izračune.

Za uspeh pri testih: Obvladaj pretvarjanje enot, poznaj razliko med maso topila in raztopine, ter nikoli ne zamenjaj masne koncentracije z gostoto!

Koncentracije niso težke, če razumeš osnove in vadiš z različnimi primeri.

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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Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

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