Ideal Gas Problem: Pressure Increase, KE Change?

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Discussion Overview

The discussion revolves around the behavior of an ideal gas when pressure is increased while maintaining a constant temperature. Participants explore the relationship between pressure, temperature, and the average kinetic energy of gas molecules.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant suggests that the average kinetic energy will increase with pressure because the molecules will move around more.
  • Another participant prompts a discussion on how average kinetic energy depends on temperature and requests the formula for average kinetic energy.
  • Several participants note that the average kinetic energy is given by the formula ek = 1/2 mv^2, which they assert is directly proportional to temperature.
  • A later reply concludes that the answer to the original question is that the average kinetic energy will remain constant.

Areas of Agreement / Disagreement

There is no consensus on the effect of increased pressure on average kinetic energy, as participants present differing views on the relationship between pressure, temperature, and kinetic energy.

Contextual Notes

Participants reference the formula for average kinetic energy but do not clarify the assumptions or conditions under which their claims hold true, particularly regarding the constancy of temperature.

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Homework Statement


An ideal gas is enclosed in a gas syringe. The pressure on the gas is now increased but the temperature of the gas is kept constant. The average kinetic energy of the gas molecules will... A) increase B) remain constant C) decrease D) double


Homework Equations





The Attempt at a Solution


I think that it will increase because the pressure increases and so the molecules will move around more. Am I correct ?
 
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How does the average kinetic energy depends on temperature?
Write down the formula for average kinetic energy.
 
ek = 1/2 mv^2 which is directly proportional to temperature,
Am I correct?
 
TheRedDevil18 said:
ek = 1/2 mv^2 which is directly proportional to temperature,
Am I correct?

Yep, so what's the answer to your original question then?
 
So the answer is, B) remain constant.
Thanks for your help!
 

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