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\(\frac{{P}_{i}}{{P}_{f}}= \frac{{V}_{f}}{{V}_{i}}^\gamma \)

 

\(\frac{{P}_{i}}{{P}_{f}}^{1/2} = \frac{{V}_{f}}{{V}_{i}}\)

 

I was hoping someone might be able to tell me how they've done this or the rule to use etc

 

Thanks,

Sonicmaths  May 28, 2017
 #1
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Is this in the context of the physics of ideal gases?

 

🎈   🎈   🚬

Badinage  May 28, 2017
 #2
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yes however, my question applies to mathematical rules.

Sonicmaths  May 28, 2017
 #3
avatar+26971 
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In an isentropic process we have   \(\frac{P_i}{P_f}=(\frac{V_f}{V_i})^\gamma\).

 

This becomes  \((\frac{P_i}{P_f})^\frac{1}{\gamma}=\frac{V_f}{V_i}\)    .

 

Your original would only be valid if   \(\gamma=2\)    

.

Alan  May 28, 2017

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