Thermodynamics- rms translational kinetic energy

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Homework Help Overview

The discussion revolves around a thermodynamics problem involving the rms translational kinetic energy of helium gas contained in a volume of 1m³ at a temperature of 50°C. The original poster attempts to calculate this energy using the ideal gas equation.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the application of the equation Total E = 3/2 nRT, with some questioning the interpretation of the energy being sought, specifically whether it refers to total energy or energy per atom.

Discussion Status

Some guidance has been offered regarding the need to clarify the type of energy being calculated. Multiple interpretations of the problem are being explored, particularly concerning the correct application of the equation to find the desired energy value.

Contextual Notes

There is a mention of the original poster not arriving at the expected answer, indicating potential misunderstandings or misapplications of the relevant equations. The discussion also highlights the importance of showing work in problem-solving.

yaykey428
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Homework Statement


A container having a volume of 1m^3 holds 5 moles of helium gas at 50C. If the helium behaves like an ideal gas, the rms translational kinetic energy is?

Homework Equations


Total E= 3/2 nRT

The Attempt at a Solution


I tried solving this question using this equation, but I did not get the right answer.
The correct answer is 6.7 x 10^-21 J
 
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Please, show your work. ehild
 
Total Ek= 3/2 nRT
= 3/2 x 5 x 8.314 x 323
= 20140.7J, but this answer is wrong
 
The problem is asking for the energy per atom.
 

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