Does Temperature Increase Lead to More Moles According to Avogadro's Law?

AI Thread Summary
Increasing temperature in a closed system while keeping pressure and volume constant does not lead to an increase in the number of moles (n) according to the ideal gas equation (n = PV/RT). Instead, if temperature rises, pressure must also increase unless some gas is removed, which would reduce n. The discussion clarifies that n is inversely proportional to temperature, meaning that as temperature increases, the number of moles must decrease if pressure is to remain constant. Boyle's and Charles's laws are referenced to support this understanding, emphasizing the relationship between pressure, volume, and temperature. Ultimately, to maintain constant pressure and volume while increasing temperature, some gas must be expelled from the system.
jimmy42
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I have the variation of the ideal gas equation:

n = PV/RT

Assuming that everything else is equal and only temperature rises that will mean there are more moles than before. Is that right? How can that be?

Thanks for clearing it up.
 
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First of all - you got it wrong, if everything stays constant and temperature goes up, n must go down. n is inversely, not directly proportional to T.

If the system is closed, and n is constant, heating the gas will mean pressure goes up. What can you do to lower the pressure?
 
Actually it means there will be fewer moles than before, because your formula says you are dividing by T not multiplying by it.

The only way you can keep the pressure and the volume both the same, and increase the temperature, is to remove some of the gas from the system. Think about what Boyle's and Charles's laws say about gases.
 
OK, thanks. I somehow forgot to do that, yes the pressure will go up.

If the system is closed, and n is constant, heating the gas will mean pressure goes up. What can you do to lower the pressure?

Reduce n?
 
jimmy42 said:
Reduce n?

Exactly. You have to OPEN the system and change it.
 
AlephZero said:
Actually it means there will be fewer moles than before, because your formula says you are dividing by T not multiplying by it.

The only way you can keep the pressure and the volume both the same, and increase the temperature, is to remove some of the gas from the system. Think about what Boyle's and Charles's laws say about gases.

Boyle's and Charles's law don't tell anything about n
its Avogadro's law relating V and n
with this you can relate all others!
 
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