Comparing Temperature and Kinetic Energy for He and O2

AI Thread Summary
When one mole of He and one mole of O2 are given the same amount of energy, He experiences a greater change in temperature due to its fewer degrees of freedom, allowing all energy to contribute to translational kinetic energy. Consequently, He particles move faster on average because they possess more translational kinetic energy and have a lower mass compared to O2 molecules. Despite both gases having the same total kinetic energy when equal energy is added, the distribution of energy results in different temperature changes. The reasoning presented in the discussion is confirmed to be correct regarding the temperature change and particle speed. Understanding these principles is essential for grasping the relationship between temperature and kinetic energy in gases.
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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