{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"Fiche Cinétique en réacteur fermé de composition uniforme.ipynb","provenance":[{"file_id":"1QwdJAVw6YpVvym2EvZpX05yWInP1UOQr","timestamp":1655447163293}],"collapsed_sections":[],"authorship_tag":"ABX9TyOC4Y4CK7nILno9CHueHFZ8"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["**À l’aide d’un langage de programmation ou d’un logiciel dédié, et à partir de données expérimentales, tracer l’évolution temporelle d’une concentration, d’une vitesse volumique de formation ou de consommation, d’une vitesse de réaction et tester une loi de vitesse donnée.**"],"metadata":{"id":"9UaoJLpIV9DZ"}},{"cell_type":"markdown","metadata":{"id":"BgHcopIjinRi"},"source":["Tracé de l'évolution de la concentration en fonction du temps et des fonctions associées suivi de leur régression linéaire"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":869},"id":"1sBdQPZacMId","executionInfo":{"status":"ok","timestamp":1631796912984,"user_tz":-120,"elapsed":1135,"user":{"displayName":"Lionnel Malara","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg9uzWMkTid1qlQikWp7IMi29R7n5oSh3ECmY5O=s64","userId":"16342666118884215780"}},"outputId":"68f8a2bb-f429-4c82-831a-eaeb5c335d55"},"source":["import matplotlib.pyplot as plt #Pour tracer des graphiques\n","import numpy as np #Pour faire divers calculs\n"," \n","## Données tableau 1\n"," \n","t=np.array([0, 184, 349, 526, 867, 1198, 1877, 2315]) # valeur du temps en s\n","c=np.array([2.35,2.08,1.91,1.67,1.36,1.11,0.72,0.55]) # valeur de la concentration en mol/L\n","\n","# Courbe d'évolution de la concentration au cours du temps et régression linéaire\n","\n","y=c #Attribue les valeurs en ordonnée\n","\n","plt.figure(1)\n","p=np.polyfit(t,y,1)                     #Régression linéaire de y en fonction de t : équation de la forme y = p[0]t + p[1]\n","plt.plot(t,np.polyval(p,t),'r')             #Tracé de la droite de régression en rouge ; polyval permet de placer les ordonnées y prévues par la droite modèle.\n","plt.xlabel('t en s') #Légende de l’axe des abscisses\n","plt.ylabel('c en mol/L') #Légende de l’axe des ordonnées\n","plt.plot(t,y,'b+',label='c=f(t)') #Représente y en fonction de x avec des croix bleues avec une étiquette pour la courbe\n","plt.title('évolution de la concentration au cours du temps') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n","\n","# Courbe d'évolution de ln(c) au cours du temps\n","\n","y=np.log(c) #Attribue les valeurs en ordonnée\n","\n","plt.figure(2)\n","p=np.polyfit(t,y,1)                     #Régression linéaire de y en fonction de t : équation de la forme y = p[0]t + p[1]\n","plt.plot(t,np.polyval(p,t),'r')             #Tracé de la droite de régression en rouge ; polyval permet de placer les ordonnées y prévues par la droite modèle.\n","plt.xlabel('t en s') #Légende de l’axe des abscisses\n","plt.ylabel('ln(c)') #Légende de l’axe des ordonnées\n","plt.plot(t,y,'b+',label='ln(c)=f(t)') #Représente y en fonction de x avec des croix bleues avec une étiquette pour la courbe\n","plt.title('évolution de ln(c) au cours du temps') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n","\n","print('pente = ',format(p[0],\"#.2e\"),'/s ',' y_0 = ',format(p[1],\"#.3f\"))\t#Affiche le résultat\n","\n","# Courbe d'évolution de 1/c au cours du temps\n","\n","y=1/c #Attribue les valeurs en ordonnée\n","\n","plt.figure(3)\n","p=np.polyfit(t,y,1)                     #Régression linéaire de y en fonction de t : équation de la forme y = p[0]t + p[1]\n","plt.plot(t,np.polyval(p,t),'r')             #Tracé de la droite de régression en rouge ; polyval permet de placer les ordonnées y prévues par la droite modèle.\n","plt.xlabel('t en s') #Légende de l’axe des abscisses\n","plt.ylabel('1/c en L/mol') #Légende de l’axe des ordonnées\n","plt.plot(t,y,'b+',label='1/c=f(t)') #Représente y en fonction de x avec des croix bleues avec une étiquette pour la courbe\n","plt.title('évolution de 1/c au cours du temps') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure 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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["pente =  -6.28e-04 /s   y_0 =  0.853\n"]},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["Tracé de l'évolution de ln(c) en fonction du temps et vérification du modèle"],"metadata":{"id":"nYoqQuiMXino"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":851},"id":"FQ4KkRYEhGo9","executionInfo":{"status":"ok","timestamp":1631802962075,"user_tz":-120,"elapsed":783,"user":{"displayName":"Lionnel Malara","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg9uzWMkTid1qlQikWp7IMi29R7n5oSh3ECmY5O=s64","userId":"16342666118884215780"}},"outputId":"6cd3243d-e0a7-4898-81cb-3789b01e5c9c"},"source":["import matplotlib.pyplot as plt #Pour tracer des graphiques\n","import numpy as np #Pour faire divers calculs\n"," \n","## Données tableau 1\n"," \n","t=np.array([0, 184, 349, 526, 867, 1198, 1877, 2315]) # valeur du temps en s\n","c=np.array([2.35,2.08,1.91,1.67,1.36,1.11,0.72,0.55]) # valeur de la concentration en mol/L\n","u_c=.01*c #Incertitude-type sur c (1%)\n","\n","# Courbe d'évolution de ln(c) au cours du temps avec la méthode des résidus\n","\n","y=np.log(c) #Attribue les valeurs en ordonnée\n","u_y=u_c/c #Incertitude-type sur ln(c)\n","\n","plt.figure(4)\n","p=np.polyfit(t,y,1)                     #Régression linéaire de y en fonction de t : équation de la forme y = p[0]t + p[1]\n","plt.plot(t,np.polyval(p,t),'b',label='régression linéaire')         #Tracé de la droite de régression en bleu ; polyval permet de placer les ordonnées y prévues par la droite modèle.\n","plt.errorbar(t, y, yerr=2*u_y, fmt='.r',label='barre d\\'incertitude élargie') #Ajoute les barres d’incertitude élargie en rouge (ici 2 fois u_y)\n","plt.xlabel('t en s') #Légende de l’axe des abscisses\n","plt.ylabel('ln(c)') #Légende de l’axe des ordonnées\n","plt.title('évolution de ln(c) au cours du temps avec les barres d\\'incertitude') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n","\n","# Tracé des résidus\n","res_y=y-np.polyval(p,t) #Calcule les résidus entre les valeurs expérimentales et celles de la régression linéaire\n","\n","plt.figure(5)\n","plt.errorbar(t, res_y, yerr = 2*u_y, fmt='.g',label='résidus + barre d\\'incertitude élargie') #Ajoute les barres d’incertitude élargie en vert (ici 2 fois u_y)\n","plt.plot([np.min(t), np.max(t)], [0, 0]) #Trace une droite confondue avec l’axe des x en bleu clair\n","plt.xlabel('t en s') #Légende de l’axe des abscisses\n","plt.title('tracé des résidus pour ln(c) au cours du temps') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n","\n","# Tracé des écarts normalisés z\n","\n","z = (y-np.polyval(p,t))/(u_y)\n","#Calcule les écarts normalisés entre les valeurs expérimentales et celles de la régression linéaire en fonction de l’incertitude-type\n","\n","plt.figure(6)\n","plt.plot(t, z,'bo',label='écarts normalisés') #Trace les points en bleu pour chaque écart normalisé\n","plt.xlabel('t en s') #Légende de l’axe des abscisses\n","plt.title('tracé des écarts normalisés pour ln(c) au cours du temps') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure 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\n","text/plain":["<Figure size 432x288 with 1 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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["Tracé de l'évolution du log de la vitesse de réaction en fonction du log de la concentration suivi de la régression linéaire"],"metadata":{"id":"Xd0aAXQGW4W9"}},{"cell_type":"code","source":["import matplotlib.pyplot as plt #Pour tracer des graphiques\n","import numpy as np #Pour faire divers calculs\n"," \n","## Données tableau 2\n"," \n","C=np.array([2.33,1.50,1.11,0.64,0.37]) # valeur de la concentration en mol/L\n","v=np.array([1.50e-3, 0.96e-3, 0.67e-3, 0.38e-3, 0.23e-3]) # valeur de la vitesse de réaction mol/L/s\n","\n","# Courbe d'évolution de la concentration au cours du temps et régression linéaire\n","\n","x=np.log10(C) #Attribue les valeurs en abscisse\n","y=np.log10(v) #Attribue les valeurs en ordonnée\n","\n","plt.figure(1)\n","p=np.polyfit(x,y,1)              #Régression linéaire de y en fonction de t : équation de la forme y = p[0]t + p[1]\n","plt.plot(x,np.polyval(p,x),'r')  #Tracé de la droite de régression en rouge ; polyval permet de placer les ordonnées y prévues par la droite modèle.\n","plt.xlabel('log(C)')          #Légende de l’axe des abscisses\n","plt.ylabel('log(v)')              #Légende de l’axe des ordonnées\n","plt.plot(x,y,'b+',label='log(v)=f(log(C))') #Représente y en fonction de x avec des croix bleues avec une étiquette pour la courbe\n","plt.title('méthode différentielle') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid()   #Affiche le quadrillage\n","plt.show()  #Affiche le graphique\n","\n","print('pente = ',format(p[0],\"#.2e\"),' y_0 = ',format(p[1],\"#.2f\"))\t#Affiche le résultat\n","\n","print('l\\'ordre est égal à 1 et k = ',format(10**p[1],\"#.2e\"),'mol/L/s ')\t#Affiche le résultat\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":331},"id":"rqQO0ZdkW5Qa","executionInfo":{"status":"ok","timestamp":1655447714887,"user_tz":-120,"elapsed":513,"user":{"displayName":"Lionnel Malara","userId":"16342666118884215780"}},"outputId":"687f9f95-03bc-4c78-a41d-ce7315cba324"},"execution_count":1,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["pente =  1.03e+00  y_0 =  -3.21\n","l'ordre est égal à 1 et k =  6.21e-04 mol/L/s \n"]}]}]}