Qhov sib txawv tseem ceeb ntawm Nernst kab zauv thiab Goldman kab zauv yog qhov Nernst kab zauv piav qhia txog kev sib raug zoo ntawm kev txo cov peev xwm thiab tus qauv electrode peev xwm, whereas Goldman equation yog ib tug derivative ntawm Nernst equation thiab piav qhia txog qhov thim rov qab muaj peev xwm hla lub cell membrane.
Ib lub xovtooj hluav taws xob yog cov khoom siv hluav taws xob uas tuaj yeem tsim hluav taws xob siv lub zog ntawm cov tshuaj lom neeg. Los yog lwm yam peb tuaj yeem siv cov cuab yeej no los pab tshuaj lom neeg los ntawm kev muab lub zog xav tau los ntawm hluav taws xob. Qhov txo qis ntawm cov khoom siv hluav taws xob hluav taws xob txiav txim siab lub peev xwm ntawm lub xov tooj ntawm tes los tsim hluav taws xob.
Nernst Equation yog dab tsi?
Nernst equation yog ib qho kev qhia lej uas muab kev sib raug zoo ntawm kev txo qhov peev xwm thiab tus qauv txo qhov peev xwm ntawm ib qho hluav taws xob hluav taws xob. Qhov sib npaug yog muaj npe tom qab tus kws tshawb fawb W alther Nernst. Thiab, nws tau tsim los siv lwm yam cuam tshuam rau electrochemical oxidation thiab txo cov tshuaj tiv thaiv, xws li kub thiab tshuaj lom neeg ua haujlwm ntawm cov tshuaj lom neeg uas raug oxidation thiab txo.
Thaum muab qhov sib npaug Nernst, peb yuav tsum xav txog cov qauv kev hloov pauv hauv Gibbs dawb lub zog uas cuam tshuam nrog electrochemical transformations uas tshwm sim hauv lub cell. Kev txo cov tshuaj tiv thaiv ntawm ib qho hluav taws xob hluav taws xob tuaj yeem muab tau raws li hauv qab no:
Ox + z e– ⟶ Red
Raws li qhov ntsuas kub, qhov hloov pauv lub zog dawb ntawm cov tshuaj tiv thaiv yog, E=Ereduction - Eoxidation
Txawm li cas los xij, Gibbs tsis muaj zog (ΔG) cuam tshuam nrog E (muaj peev xwm sib txawv) raws li hauv qab no:
ΔG=-nFE
Qhov twg n yog tus naj npawb ntawm cov hluav taws xob hloov pauv ntawm cov tshuaj lom neeg thaum cov tshuaj tiv thaiv nce ntxiv, F yog Faraday tas li. Yog tias peb xav txog cov qauv txheej txheem, ces qhov sib npaug yog raws li hauv qab no:
ΔG0=-nFE0
Peb tuaj yeem cuam tshuam Gibbs dawb lub zog ntawm cov xwm txheej tsis zoo nrog Gibbs lub zog ntawm cov qauv txheej txheem los ntawm kev sib npaug hauv qab no.
ΔG=ΔG0 + RTlnQ
Tom qab ntawd, peb tuaj yeem hloov qhov sib npaug saum toj no rau hauv cov qauv sib npaug no kom tau txais Nernst kab zauv raws li hauv qab no:
-nFE=-nFE0 + RTlnQ
Txawm li cas los xij, peb tuaj yeem sau qhov sib npaug saum toj no siv qhov tseem ceeb rau Faraday tas li thiab R (universal gas constant).
E=E0 – (0.0592VlnQ/n)
Goldman Equation yog dab tsi?
Goldman qhov sib npaug yog qhov tseem ceeb hauv kev txiav txim siab rov qab muaj peev xwm hla lub cell membrane hauv cell membrane physiology. Qhov kev sib npaug no tau muaj npe tom qab tus kws tshawb fawb David E. Goldman, uas tsim cov kab zauv. Thiab, nws tau muab los ntawm Nernst equation. Goldman sib npaug yuav siv qhov sib npaug ntawm cov ions thoob plaws hauv cov cell membrane thiab qhov sib txawv ntawm daim nyias nyias permeability rau hauv tus account thaum txiav txim siab qhov rov qab muaj peev xwm. Qhov sib npaug yog raws li nram no:
Qhov twg
- Em yog qhov sib txawv ntawm cov cell membrane,
- R yog universal gas tas li,
- T yog qhov kub thiab txias,
- Z yog tus naj npawb ntawm cov moles ntawm electrons uas tau pauv ntawm cov tshuaj lom neeg,
- F yog Faraday tas mus li,
- PA lossis B yog qhov permeability ntawm daim nyias nyias ntawm A lossis B ion, thiab
- [A lossis B i yog qhov concentration ntawm A lossis B ion hauv cov cell membrane.
Qhov txawv ntawm Nernst Equation thiab Goldman Equation yog dab tsi?
Nernst equation thiab Goldman equation yog lej qhia uas siv tau los ntsuas qhov muaj peev xwm ntawm cov hlwb electrochemical. Qhov sib txawv tseem ceeb ntawm Nernst equation thiab Goldman equation yog qhov Nernst kab zauv piav qhia txog kev sib raug zoo ntawm kev txo cov peev xwm thiab tus qauv electrode peev xwm, whereas Goldman equation yog ib tug derivative ntawm Nernst equation thiab piav qhia txog qhov reversal peev xwm nyob rau hauv ib tug cell membrane.
Cov lus qhia hauv qab no qhia txog qhov sib txawv ntawm Nernst kab zauv thiab Goldman equation.
Summary – Nernst Equation vs Goldman Equation
Nernst equation thiab Goldman equation yog lej qhia uas siv tau los ntsuas qhov muaj peev xwm ntawm cov hlwb electrochemical. Qhov sib txawv tseem ceeb ntawm Nernst kab zauv thiab qhov sib npaug Goldman yog qhov sib npaug Nernst piav qhia txog kev sib raug zoo ntawm kev txo cov peev xwm thiab tus qauv electrode peev xwm, tab sis Goldman equation yog ib qho derivative ntawm Nernst equation thiab piav qhia txog qhov rov qab muaj peev xwm hla lub cell membrane.