Write and explain ideal gas equation. Derive relation between R, P, V, T.
make sure you're descriptive and tell me as if im 5 years old
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@nermal thanks for posting! Quick questions to get you the best answer:
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2) Any constraints (board, exam style, marks)?
3) What have you already tried?
Reply with up to 3 short messages; I'll search your PDFs + the web and answer.
The ideal gas equation is a special math rule that helps us understand how gases behave. It’s like a magic formula that connects four important things about gases: pressure (P), volume (V), temperature (T), and the amount of gas (n). The equation looks like this:
[ PV = nRT ]
Let’s break it down:
- P is the pressure of the gas, which is how hard the gas pushes against the walls of its container.
- V is the volume, or how much space the gas takes up.
- n is the number of gas particles (or moles) we have.
- R is a special number called the gas constant, which helps us relate everything together.
- T is the temperature, which tells us how hot or cold the gas is.
Now, to understand how these things are related, we can think of it like this: if you have a balloon (that’s the volume), and you blow air into it (that’s the gas), the air pushes against the sides of the balloon (that’s the pressure). If you heat the balloon, the air inside gets hotter (that’s the temperature), and it might even expand!
So, if you know any three of these things (P, V, n, T), you can find out the fourth one using this equation. It’s like a puzzle where you can always find the missing piece if you have enough information!
For more details, you can check out the ideal gas equation explanation here or learn about its derivation here.
Testbook
Ideal Gas Equation: Definition, Derivation, Behavior, uses, FAQs
Ideal Gas Equation: Get detailed concept on definition, derivation of ideal gas equation using Boyle’s law, Charles’s law, Avogadro’s law, behavior & FAQs.
Sources:
• Ideal Gas Equation: Definition, Derivation, Behavior, uses, FAQs — https://testbook.com/chemistry/ideal-gas-equation
• Derivation of PV=nRT (Ideal Gas Law) — https://quantumfreak.com/derivation-of-pvnrt-the-equation-of-ideal-gas/
• The Ideal Gas Law - Fall 2025 — https://mccord.cm.utexas.edu/courses/learn/idealgaslaw.php
• Socratica — https://www.socratica.com/pages/ideal-gas-law
• The Ideal Gas from first principles — https://www.alvarofeito.com/articles/ideal-gas/
Testbook
Ideal Gas Equation: Definition, Derivation, Behavior, uses, FAQs
Ideal Gas Equation: Get detailed concept on definition, derivation of ideal gas equation using Boyle’s law, Charles’s law, Avogadro’s law, behavior & FAQs.
Derivation of PV=nRT (Ideal Gas Law)
Mathematical derivation of the ideal gas law equation according to kinetic theory
Socratica
Socratica
The ideal gas equation is a special formula that helps us understand how gases behave. It is written as:
[ PV = nRT ]
Here's what each letter means:
- P is the pressure of the gas (how hard the gas pushes against the walls of its container).
- V is the volume of the gas (how much space the gas takes up).
- n is the number of moles of gas (a way to count how many tiny gas particles there are).
- R is a special number called the gas constant (it helps us relate everything together).
- T is the temperature of the gas (how hot or cold it is).
Now, let's break it down simply:
1. Pressure (P): Imagine blowing up a balloon. The air inside pushes against the balloon walls. That's pressure!
2. Volume (V): If you have a balloon, the space inside it is the volume.
3. Moles (n): Think of moles like a big bag of candies. If you have one bag, that's one mole. More bags mean more moles!
4. Gas Constant (R): This is like a magic number that helps us connect pressure, volume, and temperature.
5. Temperature (T): If you touch something hot, it feels warm. That's temperature!
To understand how these things relate, we can rearrange the equation. If we want to find out how pressure changes when we change volume or temperature, we can play with the equation. For example, if we keep the number of moles and the gas constant the same, we can see how increasing the temperature makes the pressure go up if the volume stays the same.
In summary, the ideal gas equation helps us see how pressure, volume, temperature, and the amount of gas are all connected! [URL]
Sources:
• Ideal Gas Equation - Definition, Formula Derivation ... — https://www.youtube.com/watch?v=NSAdLrnjPY4
• The Ideal Gas Law - Fall 2025 — https://mccord.cm.utexas.edu/courses/learn/idealgaslaw.php
• Revision Notes - Ideal gas law (PV = nRT) | Structure: Models of the Particulate Nature of Matter | Chemistry HL | IB | Sparkl — https://www.sparkl.me/learn/ib/chemistry-hl/ideal-gas-law-pv-nrt/revision-notes/1793
• Derivation of PV=nRT (Ideal Gas Law) — https://quantumfreak.com/derivation-of-pvnrt-the-equation-of-ideal-gas/
• Ideal Gases | Cambridge (CIE) AS Chemistry Revision Notes 2023 — https://www.savemyexams.com/as/chemistry/cie/25/revision-notes/4-states-of-matter/4-1-the-gaseous-state-ideal-and-real-gases-and-pv-equals-nrt/ideal-gases/
Excellence Academy
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Sparkl
Revision Notes - Ideal gas law (PV = nRT) | Structure: Models of th...
Learn the Ideal Gas Law (PV = nRT) with in-depth concepts, applications, common mistakes, and FAQs tailored for IB Chemistry HL students.
Derivation of PV=nRT (Ideal Gas Law)
Mathematical derivation of the ideal gas law equation according to kinetic theory
Save My Exams
Ideal Gases | Cambridge (CIE) AS Chemistry Revision Notes 2023
Revision notes on Ideal Gases for the Cambridge (CIE) AS Chemistry syllabus, written by the Chemistry experts at Save My Exams.
Yoo this is fire.
work in progress
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