Dimension Analysis: Find x, y, z To Satisfy Boyles Law

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Homework Help Overview

The discussion revolves around the application of dimensional analysis to derive the values of x, y, and z in the equation P^x v^y T^z that would satisfy Boyle's Law. The context is rooted in the principles of gas laws and their mathematical representations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between pressure, volume, and temperature in the context of Boyle's Law. There are inquiries about the necessity of showing work to receive help, and some participants express confusion about the requirements for assistance.

Discussion Status

Some participants have provided clues and guidance regarding the assumptions that can be made from Boyle's Law. There is an acknowledgment of the need to demonstrate effort in solving the problem, and while one participant claims to have derived the values for x, y, and z, the discussion remains open without a definitive consensus.

Contextual Notes

Participants mention the importance of holding temperature constant and the implications of pressure and volume changes, which are central to the discussion of Boyle's Law. There is a reference to "idice knowledge," which may imply prior understanding or assumptions that are not fully explored in the thread.

iscofield
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For what value of x, y, and z, will the equation P^x v^y T^z = constant, become Boyles law?
 
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If you want help you have to show your work.
 
i don't understand what you mean
 
You have to show that you made an effort at solving it.
 
I'll give you a clue:

You can make basic assumptions from this equation, for example, you know that when temperature is held constant that if pressure increases volume must decrease (which happens to be Boyle's law)
 
i assumed that from boyles law p= k/v using idice knowledge x=1, y=-1 and z=0 these happen to be the answer when i check. Thanks a lot.
 
iscofield said:
i assumed that from boyles law p= k/v using idice knowledge x=1, y=-1 and z=0 these happen to be the answer when i check. Thanks a lot.

No problem.
 

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