W temp. 323 K SEM ogniwa stężeniowego jest równa 0.023 V. Ogniwo to sporządzono z półogniwa wzorcowego, w którym stężenie jonów Zn2+ jest równe 3.7 mol/dm3 oraz półogniwa badanego. Wiedząc, że półogniwo wzorcowe jest katodą podaj stężenie jonów Zn2+ w roztworze badanym.
Rammar515
![SEM = E^{0} + \frac{RT}{nF} * ln[Zn^{2+}] - (E^{0} + \frac{RT}{nF} * ln[Zn^{2+}])](https://tex.z-dn.net/?f=SEM+%3D+E%5E%7B0%7D+%2B+%5Cfrac%7BRT%7D%7BnF%7D+%2A+ln%5BZn%5E%7B2%2B%7D%5D+-+%28E%5E%7B0%7D+%2B+%5Cfrac%7BRT%7D%7BnF%7D+%2A+ln%5BZn%5E%7B2%2B%7D%5D%29 "SEM = E^{0} + \frac{RT}{nF} * ln[Zn^{2+}] - (E^{0} + \frac{RT}{nF} * ln[Zn^{2+}])")
![SEM = E^{0} + \frac{RT}{nF} * ln[Zn^{2+}] - E^{0} - \frac{RT}{nF} * ln[Zn^{2+}]](https://tex.z-dn.net/?f=SEM+%3D+E%5E%7B0%7D+%2B+%5Cfrac%7BRT%7D%7BnF%7D+%2A+ln%5BZn%5E%7B2%2B%7D%5D+-+E%5E%7B0%7D+-+%5Cfrac%7BRT%7D%7BnF%7D+%2A+ln%5BZn%5E%7B2%2B%7D%5D "SEM = E^{0} + \frac{RT}{nF} * ln[Zn^{2+}] - E^{0} - \frac{RT}{nF} * ln[Zn^{2+}]")
![SEM = \frac{RT}{nF} * ln[Zn^{2+}] - \frac{RT}{nF} * ln[Zn^{2+}]](https://tex.z-dn.net/?f=SEM+%3D+%5Cfrac%7BRT%7D%7BnF%7D+%2A+ln%5BZn%5E%7B2%2B%7D%5D+-+%5Cfrac%7BRT%7D%7BnF%7D+%2A+ln%5BZn%5E%7B2%2B%7D%5D "SEM = \frac{RT}{nF} * ln[Zn^{2+}] - \frac{RT}{nF} * ln[Zn^{2+}]")
![SEM = \frac{RT}{nF} * ln \frac{[Zn^{2+}]_{w}}{[Zn^{2+}]_{b}}](https://tex.z-dn.net/?f=SEM+%3D+%5Cfrac%7BRT%7D%7BnF%7D+%2A+ln+%5Cfrac%7B%5BZn%5E%7B2%2B%7D%5D_%7Bw%7D%7D%7B%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D%7D "SEM = \frac{RT}{nF} * ln \frac{[Zn^{2+}]_{w}}{[Zn^{2+}]_{b}}")
![ln \frac{[Zn^{2+}]_{w}}{[Zn^{2+}]_{b}} = \frac{SEMnF}{RT}](https://tex.z-dn.net/?f=ln+%5Cfrac%7B%5BZn%5E%7B2%2B%7D%5D_%7Bw%7D%7D%7B%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D%7D+%3D+%5Cfrac%7BSEMnF%7D%7BRT%7D "ln \frac{[Zn^{2+}]_{w}}{[Zn^{2+}]_{b}} = \frac{SEMnF}{RT}")
![\frac{[Zn^{2+}]_{w}}{[Zn^{2+}]_{b}} = e^{\frac{SEMnF}{RT}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5BZn%5E%7B2%2B%7D%5D_%7Bw%7D%7D%7B%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D%7D+%3D+e%5E%7B%5Cfrac%7BSEMnF%7D%7BRT%7D%7D "\frac{[Zn^{2+}]_{w}}{[Zn^{2+}]_{b}} = e^{\frac{SEMnF}{RT}}")
![[Zn^{2+}]_{b} = [Zn^{2+}]_{w} * e^{- \frac{SEMnF}{RT}}](https://tex.z-dn.net/?f=%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D+%3D+%5BZn%5E%7B2%2B%7D%5D_%7Bw%7D+%2A+e%5E%7B-+%5Cfrac%7BSEMnF%7D%7BRT%7D%7D "[Zn^{2+}]_{b} = [Zn^{2+}]_{w} * e^{- \frac{SEMnF}{RT}}")
![[Zn^{2+}]_{b} = 3,7 * e^{- \frac{0,023 * 2 * 96500}{8,314 * 323}}](https://tex.z-dn.net/?f=%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D+%3D+3%2C7+%2A+e%5E%7B-+%5Cfrac%7B0%2C023+%2A+2+%2A+96500%7D%7B8%2C314+%2A+323%7D%7D "[Zn^{2+}]_{b} = 3,7 * e^{- \frac{0,023 * 2 * 96500}{8,314 * 323}}")
![[Zn^{2+}]_{b} = 3,7 * e^{-1,652999}](https://tex.z-dn.net/?f=%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D+%3D+3%2C7+%2A+e%5E%7B-1%2C652999%7D "[Zn^{2+}]_{b} = 3,7 * e^{-1,652999}")
![[Zn^{2+}]_{b} = 3,7 * 0,19147](https://tex.z-dn.net/?f=%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D+%3D+3%2C7+%2A+0%2C19147 "[Zn^{2+}]_{b} = 3,7 * 0,19147")
![[Zn^{2+}]_{b} = 0,708439](https://tex.z-dn.net/?f=%5BZn%5E%7B2%2B%7D%5D_%7Bb%7D+%3D+0%2C708439 "[Zn^{2+}]_{b} = 0,708439")
mol/dm3
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