Finding the Kinetic Energy of a particle in 2mol of nitrogen

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SUMMARY

The kinetic energy of a particle in 2 moles of nitrogen gas at atmospheric pressure within a volume of 100 m³ is calculated using the ideal gas law, PV=nRT. The relevant constants include R=8.13 J/mol and Avogadro's number (Na=6.02x10^23). The correct answer to the problem is option A, which is 1.27x10^-17 J. The discussion emphasizes the importance of understanding kinetic temperature and ideal gas theory for solving such problems.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Familiarity with Avogadro's number (Na=6.02x10^23)
  • Knowledge of kinetic energy calculations in physics
  • Basic grasp of gas properties and behavior
NEXT STEPS
  • Research the concept of kinetic temperature and its relation to kinetic energy
  • Study the ideal gas law in more depth, including real-world applications
  • Explore resources on Hyperphysics for concise explanations of gas laws
  • Practice problems involving kinetic energy calculations for different gases
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone looking to understand the kinetic energy of gases in relation to the ideal gas law.

DracoMalfoy
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Homework Statement



What is the kinetic energy of a particle in 2mol of nitrogen gas at atmospheric pressure that is within a volume of 100m^3?a. 1.27X10^-17J
b. 3X10^5J
c. 6.8X10^-16J
d. 2.97X10^7
e. 9.9X10^-14J

Homework Equations



PV=nRT
n=Numberof particles/Na
Na=6.02x10^23
R=8.13 J/Mol

The Attempt at a Solution


[/B]
I know that atmospheric pressure is 1.013x10^5. The nitrogen part is what confuses me. I'm not sure where to start in solving this.
 
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What does the kinetic energy of a particle in a gas depend on? Does it depend on the pressure? The volume? If not, then what?
 
phyzguy said:
What does the kinetic energy of a particle in a gas depend on? Does it depend on the pressure? The volume? If not, then what?
I honestly don't know. I'm too frustrated to think straight at the moment. I am mad that I am not getting this.
 
DracoMalfoy said:
I honestly don't know. I'm too frustrated to think straight at the moment. I am mad that I am not getting this.

Do you have a book or course notes you can review? Have you talked about ideal gas theory in class?
 
phyzguy said:
Do you have a book or course notes you can review? Have you talked about ideal gas theory in class?

yes. we just learned this yesterday. i guess id have to look through the book. The teacher isn't very good. the class notes given are a bit confusing to understand
 
You may also find that Hyperphysics web site to be a great resource that succinctly summarizes specific topics.

Hint: Do a web search on Kinetic Temperature
 
gneill said:
You may also find that Hyperphysics web site to be a great resource that succinctly summarizes specific topics.

Hint: Do a web search on Kinetic Temperature

Thanks. Ill check it out. I tried again and got A. But the powers came out different on my calculator.
 
DracoMalfoy said:
Thanks. Ill check it out. I tried again and got A. But the powers came out different on my calculator.

Can you show us how you arrived at answer A?
 

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