Confused about Boyle's Law, Charles' Law and the pressure Law?

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Discussion Overview

The discussion revolves around the relationships between Boyle's Law, Charles' Law, and the pressure law in thermodynamics. Participants explore how these laws interact and whether they can be combined mathematically, particularly focusing on the implications of constant temperature and constant pressure in their applications.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses confusion about how the equations from Boyle's Law (pV=C) and Charles' Law (V/T=C) can be combined to derive the pressure law (P/T=C), noting a discrepancy when attempting to divide the first equation by the second.
  • The same participant suggests that the assumptions of constant temperature in Boyle's Law and constant pressure in Charles' Law might prevent a straightforward combination of the equations, but is uncertain about this reasoning.
  • Another participant mentions that they have successfully used Boyle's Law alongside the pressure law to derive relationships, implying that there may be alternative methods to connect these laws.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the equations can be combined or how to properly derive the pressure law from the other two. There are competing views on the applicability of the laws in conjunction.

Contextual Notes

The discussion highlights potential limitations in understanding the conditions under which each law applies, particularly regarding the assumptions of constant temperature and pressure.

21joanna12
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In my textbook, it says that pV=C (Boyle's Law), V/T=C (Charle's Law) and that P/T=C (pressure Law). The problem is that I cannot see how the first two equations combine to give the last one. If I divide the first equation by the second, I get that pT=C, which certainly is not the same as the equation given in my textbook. I'm not sure if maybe you cannot combine these two equations because Boyl's law assumes constant temperature but Charle's Law assumes constant pressure? Although I don't see why that would mean you cannot combine them...

I'm not sure if I should have posted this here or in classical physics, so I will move it if necessary.

Thank you in advance!
 
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I've done this using boyles law and the pressure law, but you can do the same thing using Boyles law and Charles law
 
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Likes   Reactions: 21joanna12
Thank you!
 
Glad I could have been of help
 

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