Comparing Temperature and Kinetic Energy for He and O2

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SUMMARY

When one mole of helium (He) and one mole of oxygen (O2) are subjected to the same amount of energy, helium experiences a greater change in temperature due to its fewer degrees of freedom, allowing all added energy to contribute to translational kinetic energy. Consequently, helium particles move faster on average than oxygen molecules, as helium has a lower mass and higher translational kinetic energy. This conclusion is supported by the principles of kinetic theory and the relationship between temperature and kinetic energy.

PREREQUISITES
  • Understanding of kinetic theory of gases
  • Familiarity with degrees of freedom in molecular motion
  • Knowledge of translational kinetic energy concepts
  • Basic principles of thermodynamics
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  • Study the kinetic theory of gases in detail
  • Explore the concept of degrees of freedom in molecular dynamics
  • Learn about the relationship between temperature and kinetic energy
  • Investigate the specific heat capacities of different gases
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jgens
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Homework Statement



If you have on mole of He atoms and one mole of O2 and add the same amount of energy to both, which underges the greater change in temperature? In which case are the particles, on average, moving faster.

Homework Equations



N/A

The Attempt at a Solution



I reasoned that for the first problem He would undergo the greater change in temp. since it has fewer degrees of freedom and all the energy goes into random translational kinetic energy. For the second problem I reasoned that the He particles must be moving faster because the have more KE and are less massive than O2 molecules. Would someone mind letting me know if my reasoning is correct? Thanks.
 
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jgens said:

Homework Statement



If you have on mole of He atoms and one mole of O2 and add the same amount of energy to both, which underges the greater change in temperature? In which case are the particles, on average, moving faster.

The Attempt at a Solution



I reasoned that for the first problem He would undergo the greater change in temp. since it has fewer degrees of freedom and all the energy goes into random translational kinetic energy. For the second problem I reasoned that the He particles must be moving faster because the have more KE and are less massive than O2 molecules.
Right on both points if by "more KE" you mean "more translational KE". The O2 and He molecules each have the same amount of kinetic energy if the same amount of energy is added to each and if they are kept separate.

AM
 

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