Answer question three please. 3) Write an expression for the internal energy U of a gas of N particles (that is, atoms or molecules) attemperature Tin terms of N and Tand any required constants, when the gas consists ofa. 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 forthe change in internal energy AU.6) What does the expression for AU from the previous problem say about AU if the temperature isconstant?7) Consider the p-V plot shown to the right.The work done by the system during a process isWay = Sinat p dV.%3DJV initialHow much work is done along path i?b. Cross-hatch the area on the plot thatrepresents the amount of work done alongpath ii.a.ivV2V1V22°Fearch

Internal energy is the sum of the potential energy and kinetic energy of the particles of the given…

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.

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.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter13: Temperature, Kinetic Theory, And The Gas Laws

Section: Chapter Questions

Problem 24PE: Suppose a gasfilled incandescent light bulb is manufactured so that the gas inside the bulb is at...

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Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

Question

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

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