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avatar+14 

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

 

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

 

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

 

Thanks,

 May 28, 2017
 #1
avatar+520 
0

Is this in the context of the physics of ideal gases?

 

🎈   🎈   🚬

 May 28, 2017
 #2
avatar+14 
0

yes however, my question applies to mathematical rules.

 May 28, 2017
 #3
avatar+27578 
+1

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   \(\gamma=2\)    

.

 May 28, 2017

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