PV=nRT The Ideal Gas Law: What is it, What is R, four practice problems solved including molar mass

In addition to showing how to solve PV= nRT problems (see timings below), including those with mass and molar mass, this video explains how the ideal gas law, PV = nRT, was derived, and the various units and values of R, including how they are derived. There is also a brief explanation of what "ideal" refers to in the term "ideal gas." The timing of the four practice problems are:
1) solving for volume 4:00
2) solving for temperature 5:20
3) solving for molar mass (given mass of gas) 6:55
4) solving for mass (given molar mas of gas) 8:25

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PV=nRT The Ideal Gas Law: What is it, What is R, Four practice problems solved including molar mass
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Ideal Gas Law - Wikipedia - November 2020
The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stated by Benoît Paul Émile Clapeyron in 1834 as a combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law.[1] The ideal gas law is often written in an empirical form:

PV=nRT, where {\displaystyle P}P, {\displaystyle V}V and {\displaystyle T}T are the pressure, volume and temperature; {\displaystyle n}n is the amount of substance; and {\displaystyle R}R is the ideal gas constant. It is the same for all gases. It can also be derived from the microscopic kinetic theory, as was achieved (apparently independently) by August Krönig in 1856[2] and Rudolf Clausius in 1857.[3]

Note that this law makes no comment as to whether a gas heats or cools during compression or expansion. An ideal gas may not change temperature, but most gases like air are not ideal and follow the Joule–Thomson effect.
The state of an amount of gas is determined by its pressure, volume, and temperature. The modern form of the equation relates these simply in two main forms. The temperature used in the equation of state is an absolute temperature: the appropriate SI unit is the kelvin.[4]

Common forms
The most frequently introduced forms are:

pV=nRT=Nk

p is the pressure of the gas,
V is the volume of the gas,
n is the amount of substance of gas (also known as number of moles),
R is the ideal, or universal, gas constant, equal to the product of the Boltzmann constant and the Avogadro constant,
k is the Boltzmann constant
NA is the Avogadro constant
T is the absolute temperature of the gas.
In SI units, p is measured in pascals, V is measured in cubic metres, n is measured in moles, and T in kelvins (the Kelvin scale is a shifted Celsius scale, where 0.00 K = −273.15 °C, the lowest possible temperature). R has the value 8.314 J/(K·mol) ≈ 2 cal/(K·mol), or 0.0821 l·atm/(mol·K).

[Manymanicorns]

Honestly, this video is incredible!! As a kid from Secondary school, and an overthinker I always need to know the origin of different things to clear out any misinterpretations, BUT THIS WAS PERFECT, seriously, this was perfectly informative and well laid out! THANKYOU!

[philoadriensson]

This is an absolutely beautiful explanation. I especially liked how you combined the simpler gas equations to come up with the ideal gas law. This was an "AHA!" moment for me, and made the existence of R make so much sense! And including molar mass in the example problems not only made it so straightforward but saved me the time of having to look for other videos on that topic. Thanks so much!😊😊

[anndolinko]

I loved your combining of the four gas laws to create the ideal gas law. Suddenly it made sense. Thanks in particular for taking the time to go through the four problems. That was extremely useful!

[BeyBoy]

I love the way you explain things so I’m so happy I found this channel.

[jaybeltran]

easy learning with this video, thanks from Philippines!

[JarretBerenson]

Thanks for making this awesome video. Hits every point perfectly. Also knocked out my low grade in chem. : )

[shorouqabu-joudeh]

Really like the order and flow of material presented

[carolinenix]

Thank you so much! This taught me more in 10 minutes than my chemistry teacher did in 3 days. Great explanation, very straightforward

[TECHNOFLIGT]

Amazing video sir !
Love from India 🇮🇳😍🙏

[hemnarayanchaudhary]

Thanks for uploading this video .tomorrow is my exam please wish me luck

[Dhivanka]

I'm understand your explanation more than my teacher's with my language

[jamieson]

Thanks so much for the explanation and it is very useful.