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pop000
Apr 25, 2011, 04:23 AM
In the picture you can see Three different tanks contain Three different gases.
The temperature are equal to 25 Degrees Celsius
In all the Three tanks, and it not changing.

I asked to calculate the kinetic energy of the Three different gases.
So I thought to use this formula:3/2*RT this formula is for ideal gas but how can I know if what I got here is an ideal gas ?

Or maybe I need to use in another formula?
Thanks.
http://p1cture.me/images/05404830057468198676.jpg

Unknown008
Apr 25, 2011, 08:28 AM
Well, in the lessons I had, I was told to assume that the gases I worked with to have ideal behaviour.

pop000
Apr 25, 2011, 08:59 AM
OK so if I assume that this gases are ideal do I correct in my formula ?
Thank you.

Unknown008
Apr 25, 2011, 09:27 AM
Well... you used the wrong constant.

PV = nRT = NkT

U = \frac32nRT = \frac32NkT = \frac12 Nm\bar{c^2}

E = \frac12 m\bar{c^2} = \frac32 kT = \frac32 \frac{n}{N}RT

\frac{n}{N} = \frac{1}{N_A}

pop000
Apr 25, 2011, 10:17 AM
well look here :http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/kintem.html I think I correct in my formula no ? :)
btw: N = number of molecules is not given in my question info, also n. so I can't use in your formula yes?
thank you again.

Unknown008
Apr 25, 2011, 10:25 AM
Your site is correct, but what you typed is not :p

See in my post, all the equivalents of E, you'll see the one you can use :)

But still, you don't need n, or N, since you know N_A ;)

pop000
Apr 25, 2011, 12:07 PM
well so I can use this formula:E=3/2kT (kinetic energy of gas molecule) k=Boltzmann constant T=Kelvin temperature.
so I got the correct formula now? Lol.

sorry for making it to look so hard :) thanks.

Unknown008
Apr 25, 2011, 12:23 PM
Yes, now, this is correct :)

pop000
Apr 26, 2011, 12:30 PM
Hi.
Thank you very much for help but if you says that is will be correct to use this formula E=3/2kT and we know that k and T in this case are equal in all the 3 gases so I get that the kinetic energy of each gas here are equal ?

Is it possible ?

pop000
Apr 26, 2011, 11:28 PM
Lol never mind I did it :)

Thanks.

Unknown008
Apr 27, 2011, 09:30 AM
Yes that's right. As long as T is constant, the KE of the particles will be constant.

Well, the average KE that is.

Remember that KE of molecules of gas is only affected by their temperature.

pop000
Apr 28, 2011, 04:08 AM
OK so this what I got:3/2*1.38*10^-23J*K*298K=6.1686^-21 so 6.1686^-21is the average KE of the 3 gases ?

Unknown008
Apr 28, 2011, 09:04 AM
Yes, I get that too :)

pop000
Apr 28, 2011, 10:44 AM
YeA thanks you for your patience :)