\(\frac{{P}_{i}}{{P}_{f}}= \frac{{V}_{f}}{{V}_{i}}^\gamma \)
\(\frac{{P}_{i}}{{P}_{f}}^{1/2} = \frac{{V}_{f}}{{V}_{i}}\)
I was hoping someone might be able to tell me how they've done this or the rule to use etc
Thanks,
Is this in the context of the physics of ideal gases?
yes however, my question applies to mathematical rules.
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 \(\gamma=2\)
.
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