Thermodynamics question (ideal gas temperatures)

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SUMMARY

The discussion centers on the relationship between temperature and pressure in an ideal gas, specifically when the temperature is doubled under constant volume conditions. It is established that doubling the temperature in Kelvin results in a doubling of the absolute pressure, while doubling the temperature in Celsius does not yield the same result due to the different starting points of the two scales. The ideal gas law is referenced as a critical tool for understanding these relationships, emphasizing the necessity of using Kelvin for accurate calculations.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of temperature scales (Kelvin and Celsius)
  • Familiarity with isochoric processes in thermodynamics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the Ideal Gas Law and its applications in thermodynamics
  • Learn how to convert between Celsius and Kelvin accurately
  • Explore isochoric processes and their implications on gas behavior
  • Investigate the effects of temperature changes on gas pressure using real-world examples
USEFUL FOR

Students studying thermodynamics, educators teaching gas laws, and anyone interested in the principles of ideal gases and their behavior under varying temperature conditions.

Koskesh
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Homework Statement


The temperature of an ideal gas is doubled while the volume is kept constant...

Does the absolute pressure of the gas double when the temperature that doubles is A) the Kelvin temperature and B) the Celsius temperature. Explain?


The Attempt at a Solution



I can't put the solution to this in words, but I think I might have the right idea... not sure.

1 degree celsius = 274 Kelvin, and if we were to double the celsius temperature we'd have the following:

2 degrees celsius = 275 Kelvin.

So while the celsius temperature doubles the absolute pressure of the gas doubles as well, but if Kelvin were to double then the absolute pressure of the gas wouldn't double but increase exponentially...?
 
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Can anyone throw me a bone here?
 
Difficult not to give the game away here really.
Look at the ideal gas law on wiki, look at the units of what is used.
This shows the temperature scale you should be using.

However: Try to put some numbers into the formula of an isochoric process using both c and K.Hmm acutually this question is confusing me acutally. I don't quite see the point in it as there is really only 1 scale you should be using when dealing with this sort of thing. Someones is going to have to jump in and save my *** now :(
 
Last edited:
I think you'll get it better if you look at the equations which convert Celsius to kelvin...

It is in fact hard to give you a hint here without giving the whole thing away... but look how the 2 are related... for instance, if you raise 1 degree Fahrenheit that's not equivalent to 1 degree celsius... if you raise 1 degree celsius, how is that related to raising by 1 kelvin?
 

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