Ideal Gas Problem: Pressure Increase, KE Change?

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SUMMARY

The discussion centers on the behavior of an ideal gas when pressure is increased while maintaining a constant temperature. The conclusion reached is that the average kinetic energy (KE) of the gas molecules remains constant, as indicated by the formula for average kinetic energy, ek = 1/2 mv^2, which is directly proportional to temperature. Therefore, the correct answer to the posed question is B) remain constant. This aligns with the principles of thermodynamics regarding ideal gases.

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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


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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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