The Ideal Gas Law: pV = nRT - IB Physics

Lecture on the definition of an ideal gas: • What is an Ideal Gas? ...
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In this lecture I:
-Give the Ideal Gas Law equation, define each variable (pressure p, volume V, number of moles n, the Ideal Gas Constant R, and absolute temperature T) and show how to calculate and work with each. I also give each unit and explain why the temperature has to be on an absolute scale.
-Give examples of each type of graph where all but two variables are held constant: pressure vs temperature graphs, volume vs temperature graphs, and pressure vs volume graphs. I also use animations to show what these graphs physically represent
-Show why the Ideal Gas Law can ONLY apply when we are working with an ideal gas (why the conditions for an Ideal Gas are also the conditions for the Ideal Gas Law to be used)real gas equation
-Conclude with examples of graph problems, math problems, and proportional reasoning problems using pV = nRT

[@tvishapatel169]

Thank you for very organised chapters, your videos are very helpful 😄

[@AdrianTangMusic]

This is possibly one of the best videos. Thank you so much!

[@youssefabed2006]

Another way you could solve problem b in Example 2 at 14:17 is shown below:
The slope of P vs V^-1 = P/(1/V) which is equal to PV.
Rearranging PV=nRT to solve for moles we get:
n=PV/RT
where R=8.31 and T = 330K
Using the graph, let's choose the point where P = 1*10^5 Pa and V^-1= 2m^3
But the clever maneuver you have to do is to realize that if V^-1 = 2 then V = 1/V^-1 = 1/2
Plugging in the values:
(1*10^5)(1/2)/(8.31)(330) = 18.2 moles

[@SyrpiC00L]

Hey this username is familiar... 🤔

[@youssefabed2006]

The 🐐

[@arsalankamran_]

In Example 1 Math Problem. The formula for the volume of the cylinder wouldn't be πr2h? Although the answer is 6.3 when using this formula. Love your videos. Great Work.

[@sithilliyanage3676]

Volume of a a cylinder at 14:47 is wrong it should be (cylinder_volume = π * cylinder_radius² * cylinder_height)

[@nicholashawkinsleitestb2688]

they put the height

[@neef1532]

awesome vid, very easy to understand topics

[@consunenergy6088]

Fantastic Material. Grateful to you

[@tsehayenegash8394]

I appreciate your help. I have two questions
1. the ideal gas equation is pv =nRT , what is the ral gas eauation?
2. if you can please upload atmospheric physics like atmospheric wave, enery exchange between troposphere and stratosphere like that

[@domwizz7045]

cylinder area formula = pi*radius^2*height

[@hqppyfeet7513]

19:10, for Example 1: Proportional Reasoning Problems) n_B, why doesn't that equal to (p_B)(3V_B)(R)^-1(400K)^-1? What happened to the 3V_B and why did it go down to V_B in the equation for n_B?

[@krishanggoyal1534]

shouldn't that be 3/4 instead of 12/1? when we simplify, it should be 3/4. This is for Example 1 for the ratio of mass question

[@AndyMasley]

Both the 100k and 400k are raised to the power of -1, so the fraction is (1/100k)/(1/400k) which is equal to 4 in the numerator

[@saivishwath3773]

@@AndyMasley after solving I am arriving at p=7931479.5 I even cross checked the values I entered and even did this on four different calculators. I am getting the exact same value. This is for Example 1 of math question

[@Joshua-bn6bl]

Nice