How Do You Calculate the Average Square Speed of Argon Molecules?

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SUMMARY

The discussion centers on calculating the average square speed of argon molecules using the ideal gas law and kinetic energy equations. The relevant equations provided include pv=nRT for pressure-volume relationships and U=NEk=3/2NkT=3/2nRT for internal energy calculations. The user specifically seeks assistance with part C of their homework question regarding the average square speed of argon molecules at 13°C and a pressure of 5.10¹ Pa. The atomic mass of argon (A, Ar) is given as 39.948.

PREREQUISITES
  • Understanding of the ideal gas law (pv=nRT)
  • Knowledge of kinetic theory of gases (U=3/2nRT)
  • Familiarity with LaTeX for formatting mathematical equations
  • Basic principles of thermodynamics related to internal energy
NEXT STEPS
  • Learn how to apply the ideal gas law to calculate gas properties
  • Study the derivation of average square speed from kinetic theory
  • Practice using LaTeX for writing complex equations
  • Explore the relationship between temperature, pressure, and molecular speed in gases
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Students studying physics, particularly those focusing on thermodynamics and gas laws, as well as educators looking for examples of gas behavior calculations.

petar rezek
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Homework Statement
3. a) Calculate the mass of argon that at 13°C, in a volume of 50 liters, presses the walls with a pressure of 5.10¹ Pa.
b) What is the internal energy of the gas at that temperature?
c) What is the average square speed of the molecules? A, (Ar) = 39,948
needed help with question C)
Relevant Equations
pv=nRT
U=NEk=3/2NkT=3/2nRT
In the images you can see what I did I need someone to check answers and show me how to do C part of question
 

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In addition to being annoyingly sideways, your images are unreadable. If you are going to ask people to do you the favor of helping you with something, you should make it easy for them, not hard.
 
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petar rezek said:
Homework Statement: 3. a) Calculate the mass of argon that at 13°C, in a volume of 50 liters, presses the walls with a pressure of 5.10¹ Pa.
b) What is the internal energy of the gas at that temperature?
c) What is the average square speed of the molecules? A, (Ar) = 39,948
needed help with question C)
Relevant Equations: pv=nRT
U=NEk=3/2NkT=3/2nRT

In the images you can see what I did I need someone to check answers and show me how to do C part of question
Welcome to PF.

Please start a new thread in the Homework Help, Introductory Physics forum, and type your work into the forum window using LaTeX for the equations. I will send you a Private Message (PM) now with some hints on how to use LaTeX.

When you repost, please also use a more descriptive thread title -- the title should reflect the question being asked in the thread. Thank you.
 

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