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

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The discussion focuses on determining the values of x, y, and z in the equation P^x v^y T^z to satisfy Boyle's Law. It is established that when temperature is constant, an increase in pressure results in a decrease in volume, which aligns with Boyle's Law. A participant concludes that by using the relationship p = k/v, the values x = 1, y = -1, and z = 0 are correct. These values are confirmed through checking against the original equation. The conversation emphasizes the importance of showing work to reach the solution.
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 alot.
 
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 alot.

No problem.
 
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