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

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To calculate the average square speed of argon molecules, one must first determine the mass of argon using the ideal gas law (pv=nRT) and then find the internal energy (U=3/2nRT). The discussion highlights the need for clear presentation of work, recommending the use of LaTeX for mathematical equations. Participants emphasize the importance of legible images and suggest starting a new thread for better organization. The conversation centers on providing guidance for completing the calculations related to argon gas properties.
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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.
 
At first, I derived that: $$\nabla \frac 1{\mu}=-\frac 1{{\mu}^3}\left((1-\beta^2)+\frac{\dot{\vec\beta}\cdot\vec R}c\right)\vec R$$ (dot means differentiation with respect to ##t'##). I assume this result is true because it gives valid result for magnetic field. To find electric field one should also derive partial derivative of ##\vec A## with respect to ##t##. I've used chain rule, substituted ##\vec A## and used derivative of product formula. $$\frac {\partial \vec A}{\partial t}=\frac...

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