<html><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:8px"><div class="" style=""><span class="" style="">Caros colegas, uso alguns modelos de isotermas de adsorção, para o modelo de Langmuir existem algumas linearizações, como faço para avaliar se o modelo não linear é melhor que o modelo linearizado?</span></div><div class="" style="color: rgb(0, 0, 0); font-size: 8px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal; background-color: transparent;"><span class="" style=""><br></span></div><div class="" style="color: rgb(0, 0, 0); font-size: 8px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: normal; background-color: transparent;"><span class="" style="">Att,</span></div><div class="" style=""></div><div class=""
style=""> </div><div class="" style=""><span style="font-weight:bold;font-style:italic;" class="">Ari Clecius Alves de Lima</span><br style="font-weight:bold;font-style:italic;" class=""><span style="font-weight:bold;font-style:italic;" class="">Engenheiro Químico</span><br style="font-weight:bold;font-style:italic;" class=""><span style="font-weight:bold;font-style:italic;" class="">Me. Engenharia Civil</span><br style="font-weight:bold;font-style:italic;" class=""><span style="font-weight:bold;font-style:italic;" class="">(085)88412345</span><br style="font-weight:bold;font-style:italic;" class=""><span style="font-weight:bold;font-style:italic;" class="">(085)33669042</span></div><div style="color: rgb(0, 0, 0); font-size: 8px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: italic; background-color: transparent;" class=""><span style="font-weight:bold;font-style:italic;" class=""><br
class="" style=""></span></div><div style="color: rgb(0, 0, 0); font-size: 8px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: italic; background-color: transparent;" class=""><span style="font-weight:bold;font-style:italic;" class="">#CRM</span></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">ce=c(0.66450,0.92395,1.22510,1.53040,12.89600,32.44400,70.93000,135.54800)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">qe=c(0.65864,0.83815,1.09135,1.42049,11.57060,15.42198,16.41500,20.42020)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">#########Modelo linear####################</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">ce_inv=1/ce</i></b></div><div
style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">qe_inv=1/qe</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">Langmuir_Linear=lm(qe_inv~ce_inv)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">summary(Langmuir_Linear)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">names(Langmuir_Linear)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">Langmuir_Linear$coefficients</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">Langmuir_Linear$coefficients[1]</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">qmax_L=1/Langmuir_Linear$coefficients[1]</i></b></div><div
style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">qmax_L</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">kl_L=1/qmax*Langmuir_Linear$coefficients[2]</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">kl_L</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">qe_est_L=qmax_L* kl_L*ce/(1+ kl_L *ce)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">plot(ce,qe)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">lines(ce,qe_est_L,col="blue")</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">##########################################</i></b></div><div style="background-color:
transparent;" class=""><b class="" style=""><i class="" style=""><br class="" style=""></i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">library(nlstools)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">adsorption=list(ce,qe)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">langmuir<-nls(qe~qmax*kl*ce/(1+kl*ce),adsorption,start=list(qmax=30,kl=0.02))</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">summary(langmuir)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style=""><br class="" style=""></i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">qe_Est_NL=21.40602* 0.07498 *ce/(1+ 0.07498
*ce)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">qe_Est_NL</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">plot(ce,qe)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">lines(ce,qe_Est_NL,col="red")</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">legend("top",legend=c("LangmuirExp","Langmuir_Est_NL"), lty=c(NA,1), col=c("black","red"),pch=c(3,NA),cex=0.6)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">########################################</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">#############################################</i></b></div><div style="background-color: transparent;"
class=""><b class="" style=""><i class="" style="">plot(ce,qe)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">lines(ce,qe_est_L,col="blue")</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">lines(ce,qe_Est_NL,col="red")</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style="">legend("topleft",legend=c("LangmuirExp","Langmuir_Est_L","Langmuir_Est_NL"), lty=c(NA,1,1), col=c("black","blue","red"),pch=c(3,NA,NA),cex=0.6)</i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style=""><br class="" style=""></i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class="" style=""><span class="" style=""></span></i></b></div><div style="background-color: transparent;" class=""><b class="" style=""><i class=""
style="">#####################################################</i></b></div><div style="color: rgb(0, 0, 0); font-size: 8px; font-family: HelveticaNeue, 'Helvetica Neue', Helvetica, Arial, 'Lucida Grande', sans-serif; font-style: italic; background-color: transparent;" class=""><span style="font-weight:bold;font-style:italic;" class=""><br class="" style=""></span></div></div></body></html>