Average Translational Kinetic Energy: P & V Given

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SUMMARY

The discussion focuses on calculating average translational kinetic energy using the formula KE = (3/2) nRT, where the challenge arises from the lack of specific temperature (T) and number of moles (n) provided in the problem. Participants suggest using room temperature (T = 295 K) as a reasonable assumption for calculations. The mass of individual atoms, while not essential for the kinetic energy calculation, can help identify the type of gas involved. Clarity in problem statements regarding temperature is emphasized as crucial for accurate computation.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Familiarity with the concept of average translational kinetic energy
  • Basic knowledge of atomic mass and its relevance to gas identification
  • Experience with thermodynamic principles and equations
NEXT STEPS
  • Research the ideal gas law and its applications in thermodynamics
  • Learn about average translational kinetic energy calculations in gases
  • Explore the significance of temperature in kinetic energy formulas
  • Investigate methods for determining gas types based on atomic mass
USEFUL FOR

This discussion is beneficial for physics students, educators, and professionals in thermodynamics, particularly those focusing on gas behavior and kinetic theory.

hairey94
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Homework Statement
The pressure of a 0.02 m3 monoatomic gas in a container is 2 atm. The mass of each atom is 3.351 x 10^-23 g. Calculate the average translational kinetic energy of the gas.
Relevant Equations
Ktr = (3/2) (R/NA) T = (3/2)kT
U = NKtr = (3/2) nRT = (3/2)NkT
If this question asked for internal energy, then it is a straightforward thing, just use the formula U = (3/2) nRT = (3/2) PV. But the question specifically asked for average translational kinetic energy which I'm stuck with the value of T to plug in into the formula as the question only give us P and V. So no value for n and T.
 
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I think they might want you to calculate the average kinetic energy of an atom of the gas, but it's slightly unclear. They should have specified a temperature also. Using room temperature ## T=295 ## K might be a good assumption.
The mass of each atom appears to be extra information, that is not needed to solve the problem, but it will tell you what type of gas. What is the mass of a proton or neutron? You can compute the atomic weight, and then determine what gas it is.
 

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