Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | Last revision Both sides next revision | ||
|
on_phenomenological_thermodynamics_._note [2015/11/07 19:49] nikolaj |
on_phenomenological_thermodynamics_._note [2015/11/07 19:50] nikolaj |
||
|---|---|---|---|
| Line 44: | Line 44: | ||
| $(\Delta G)_{T,\{N_i\}}:=\int_{p_2}^{p_1}V(T,p)\,{\mathrm d}p=c^S T\ln(\frac{p_2}{p_1})$ | $(\Delta G)_{T,\{N_i\}}:=\int_{p_2}^{p_1}V(T,p)\,{\mathrm d}p=c^S T\ln(\frac{p_2}{p_1})$ | ||
| - | $\implies p_2 = p_1\cdot\exp\left(\dfrac{(\Delta G)_{T,\{N_i\}}}{c^S T}\right)$. | + | $\implies p_1 = p_2\cdot\exp\left(-\dfrac{(\Delta G)_{T,\{N_i\}}}{c^S T}\right)$. |
| This sort of "concentration varies with $\exp(-E/k_BT)$" equation also pops up often in chemistry and electronics (Goldmann equation, Nernst equation, diode current-voltage-characteristics,...) | This sort of "concentration varies with $\exp(-E/k_BT)$" equation also pops up often in chemistry and electronics (Goldmann equation, Nernst equation, diode current-voltage-characteristics,...) | ||
