Qhov sib txawv tseem ceeb ntawm Arrhenius thiab Eyring kab zauv yog qhov sib npaug Arrhenius yog ib qho kev sib npaug piv rau qhov sib npaug Eyring yog raws li kev txheeb xyuas cov neeg kho tshuab kev ncaj ncees.
Arrhenius equation thiab Eyring equation yog ob qho kev sib npaug tseem ceeb hauv kev siv lub cev. Thaum peb xav tias qhov enthalpy tsis tu ncua ntawm kev ua kom muaj zog thiab tsis tu ncua entropy ntawm kev ua kom, Eyring kab zauv zoo ib yam li qhov sib npaug Arrhenius.
Dab tsi yog Arrhenius Equation?
Arrhenius equation yog cov tshuaj formula uas muaj qhov kub thiab txias ntawm cov tshuaj tiv thaiv. Qhov kev sib npaug no tau npaj thiab tsim los ntawm tus kws tshawb fawb Svante Arrhenius hauv xyoo 1889. Qhov sib npaug Arrhenius muaj ntau daim ntawv thov hauv kev txiav txim siab tus nqi ntawm cov tshuaj tiv thaiv thiab hauv kev suav ntawm lub zog ntawm kev ua kom muaj zog. Hauv cov ntsiab lus no, Arrhenius equation muab lub cev kev ncaj ncees thiab kev txhais lus rau cov qauv. Yog li ntawd, peb tuaj yeem txheeb xyuas nws raws li kev sib raug zoo. Qhov sib npaug Arrhenius tau qhia raws li hauv qab no:
K=Ae(Ea/RT)
Qhov twg k yog tus nqi tas li rau cov tshuaj tiv thaiv sib xyaw, T yog qhov ntsuas kub ntawm qhov system hauv Kelvins, A yog qhov ua ntej exponential rau cov tshuaj tiv thaiv, Ea yog lub zog ua kom muaj zog rau cov tshuaj tiv thaiv thiab R yog universal gas tas li. Hauv qhov kev sib npaug no, thaum xav txog cov units ntawm pre-exponential yam, A, nws zoo ib yam rau cov units ntawm tus nqi tas li uas yuav nyob ntawm qhov kev txiav txim ntawm cov tshuaj tiv thaiv. E.g. Yog hais tias cov tshuaj tiv thaiv yog thawj qhov kev txiav txim, ces cov units ntawm A yog ib ob (s-1). Hauv lwm lo lus, hauv cov tshuaj tiv thaiv no, A yog tus naj npawb ntawm kev sib tsoo ib ob uas tshwm sim hauv kev taw qhia kom raug. Tsis tas li ntawd, qhov kev sib raug zoo no piav qhia tias qhov kub thiab txias los yog txo qhov kev ua kom lub zog yuav ua rau muaj qhov nce ntawm cov tshuaj tiv thaiv.
Daim duab 01: Qhov sib txawv ntawm Arrhenius Equation
Dab tsi Eyring Equation?
Eyring equation yog ib qho kev sib npaug uas piav qhia txog kev hloov pauv ntawm cov tshuaj tiv thaiv tshuaj tiv thaiv qhov kub ntawm cov tshuaj tiv thaiv sib tov. Qhov kev sib npaug no tau tsim los ntawm Henry Eyring hauv xyoo 1935 nrog rau ob tus kws tshawb fawb. Eyring equation zoo ib yam li Arrhenius equation thaum ib qho enthalpy tas li ntawm kev ua kom muaj zog thiab qhov kev ua kom tsis tu ncua ntawm kev ua kom raug txiav txim siab. Tus qauv dav dav rau Eyring kab zauv yog raws li nram no:
Ntawm ΔG‡ yog Gibbs lub zog ntawm kev ua haujlwm, κ yog qhov sib kis sib kis, kB yog Boltzmann qhov tas li, thiab h yog Planck qhov tas li.
Qhov txawv ntawm Arrhenius thiab Eyring Equation yog dab tsi?
Arrhenius thiab Eyring kab zauv yog qhov sib npaug tseem ceeb hauv kev siv lub cev. Qhov sib txawv tseem ceeb ntawm Arrhenius thiab Eyring kab zauv yog qhov sib npaug Arrhenius yog ib qho kev sib npaug piv rau qhov sib npaug Eyring yog raws li kev txheeb xyuas cov neeg kho tshuab kev ncaj ncees. Ntxiv mus, Arrhenius equation yog siv los ua qauv ntawm qhov sib txawv ntawm qhov sib txawv ntawm qhov sib txawv ntawm qhov sib txawv ntawm qhov sib txawv, cov pej xeem ntawm cov khoom siv lead ua haujlwm, cov nqi nkag, thiab ntau lwm cov txheej txheem thermally-induced, thaum Eyring equation muaj txiaj ntsig zoo hauv txoj kev hloov hauv lub xeev txoj kev xav thiab muaj, nws yog lub npe hu ua activated. -complex theory.
Hauv qab infographic tabulates qhov sib txawv ntawm Arrhenius thiab Eyring sib npaug rau kev sib piv ntawm ib sab.
Summary – Arrhenius vs Eyring Equation
Arrhenius thiab Eyring kab zauv yog qhov sib npaug tseem ceeb hauv kev siv lub cev. Qhov sib txawv tseem ceeb ntawm Arrhenius thiab Eyring kab zauv yog qhov sib npaug Arrhenius yog ib qho kev sib npaug piv rau qhov sib npaug Eyring yog raws li kev txheeb xyuas cov neeg kho tshuab kev ncaj ncees. Arrhenius equation yog siv los ua qauv qhov sib txawv ntawm qhov kub thiab txias ntawm diffusion coefficients, cov pej xeem ntawm crystal vacancies, creep rates, thiab ntau lwm yam thermally-induced txheej txheem. Eyring equation, ntawm qhov tod tes, yog qhov tseem ceeb hauv txoj kev hloov pauv hauv lub xeev txoj kev xav, thiab muaj, nws yog lub npe hu ua activated-complex theory.
