Write an expression for the internal energy U of a gas of N particles (that is, atoms or molecules) at temperature Tin terms of N and Tand any required constants, when the gas consists of a. Ne (neon atoms) b. N2 (nitrogen molecules), assuming all degrees of freedom are active.

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Chapter21: The Kinetic Theory Of Gases
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Answer question three please.
3) Write an expression for the internal energy U of a gas of N particles (that is, atoms or molecules) at
temperature Tin terms of N and Tand any required constants, when the gas consists of
a. Ne (neon atoms)
b. N2 (nitrogen molecules), assuming all degrees of freedom are active.
4) Calculate the internal energy U of a liter of helium at room temperature and atmospheric pressure.
Then repeat the calculation for a liter of air.
5) The equipartition theorem allows us to write U = aNkT, where the constant a is the number of
(active) degrees of freedom per molecule and k is Boltzmann's constant. Write an expression for
the change in internal energy AU.
6) What does the expression for AU from the previous problem say about AU if the temperature is
constant?
7) Consider the p-V plot shown to the right.
The work done by the system during a process is
Way = Sinat p dV.
%3D
JV initial
How much work is done along path i?
b. Cross-hatch the area on the plot that
represents the amount of work done along
path ii.
a.
iv
V2
V1
V
22°F
earch
Transcribed Image Text:3) Write an expression for the internal energy U of a gas of N particles (that is, atoms or molecules) at temperature Tin terms of N and Tand any required constants, when the gas consists of a. Ne (neon atoms) b. N2 (nitrogen molecules), assuming all degrees of freedom are active. 4) Calculate the internal energy U of a liter of helium at room temperature and atmospheric pressure. Then repeat the calculation for a liter of air. 5) The equipartition theorem allows us to write U = aNkT, where the constant a is the number of (active) degrees of freedom per molecule and k is Boltzmann's constant. Write an expression for the change in internal energy AU. 6) What does the expression for AU from the previous problem say about AU if the temperature is constant? 7) Consider the p-V plot shown to the right. The work done by the system during a process is Way = Sinat p dV. %3D JV initial How much work is done along path i? b. Cross-hatch the area on the plot that represents the amount of work done along path ii. a. iv V2 V1 V 22°F earch
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