{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"authorship_tag":"ABX9TyMZZTj/Ua5/gu1v718lqVLn"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","metadata":{"id":"BgHcopIjinRi"},"source":["\n","activité 6.1 Étude de la dissociation de $N_2O_5$\n","\n","1°)"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"1sBdQPZacMId","executionInfo":{"status":"ok","timestamp":1695277557025,"user_tz":-120,"elapsed":1141,"user":{"displayName":"Lionnel Malara","userId":"16342666118884215780"}},"outputId":"78e6aa8c-eb14-421c-dfc9-a93af4880452"},"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],\"#.2f\"))\t#Affiche le résultat\n","t2=t[1:]\n","y2=y[1:]\n","k2=(y[0]-y2)/t2\n","k_moy=np.mean(k2) #moyenne de k\n","u_k= np.std(k2, ddof=1) #incertitude-type de k\n","print (\"k_moy =\",format(k_moy,\"#.2e\"),\" avec u(k_moy) = \",format(u_k/7**.5,\"#.1e\"),'par calcul direct') #Affiche résultat et incertitude-type\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":10,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["pente =  -6.28e-04 /s   y_0 =  0.85\n","k_moy = 6.32e-04  avec u(k_moy) =  8.1e-06 par calcul direct\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","metadata":{"id":"MOJEg7FtcWlu"},"source":["\n","activité 6.1 Étude de la dissociation de $N_2O_5$\n","\n","2°)"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":508},"id":"zcKlY0gOi2D0","executionInfo":{"status":"ok","timestamp":1695276281811,"user_tz":-120,"elapsed":718,"user":{"displayName":"Lionnel Malara","userId":"16342666118884215780"}},"outputId":"1d1752ab-9097-473f-ba0f-05234f667d76"},"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\"),'/s ')\t#Affiche le résultat\n"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 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\n"},"metadata":{}},{"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 /s \n"]}]},{"cell_type":"markdown","metadata":{"id":"MMt7PwSqKppw"},"source":["\n","activité 6.2 Cinétique de l’addition du dibrome sur les alcènes\n"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":508},"id":"IpUQMUpUKvaY","executionInfo":{"status":"ok","timestamp":1695277523131,"user_tz":-120,"elapsed":397,"user":{"displayName":"Lionnel Malara","userId":"16342666118884215780"}},"outputId":"71e62f7a-2763-4e75-ddca-ceeed0cc9336"},"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, 1, 5, 10, 20, 40, 60, 120]) # valeur du temps en min\n","c=np.array([300,296,280,262,229,175,133,60]) # valeur de la concentration en 10^(-6) mol/L\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 min') #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\"),'/min ',' y_0 = ',format(p[1],\"#.2f\"))\t#Affiche le résultat\n","t2=t[1:]\n","y2=y[1:]\n","k2=(y[0]-y2)/t2\n","k_moy=np.mean(k2) #moyenne de k\n","u_k= np.std(k2, ddof=1) #incertitude-type de k\n","print (\"k_moy =\",format(k_moy,\"#.2e\"),\" avec u(k_moy) = \",format(u_k/7**.5,\"#.1e\"),'par calcul direct') #Affiche résultat et incertitude-type\n","\n"],"execution_count":9,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["pente =  -1.34e-02 /min   y_0 =  5.70\n","k_moy = 1.35e-02  avec u(k_moy) =  4.9e-05 par calcul direct\n"]}]},{"cell_type":"markdown","metadata":{"id":"wupmXpR-Li9a"},"source":["activité 6.3 Réaction de Diels-Alder\n"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"aUcagzzjLlQE","executionInfo":{"status":"ok","timestamp":1695277587599,"user_tz":-120,"elapsed":1112,"user":{"displayName":"Lionnel Malara","userId":"16342666118884215780"}},"outputId":"1f3c8101-1181-4f1c-fd14-2caff7d1678b"},"source":["import matplotlib.pyplot as plt #Pour tracer des graphiques\n","import numpy as np #Pour faire divers calculs\n","\n","## Données\n","\n","t=np.array([800,1450,2500,2850,3300,3700,4300,6000,6800]) # valeur du temps en s\n","c=np.array([0.293,0.240,0.186,0.174,0.159,0.149,0.136,0.108,0.098]) # 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","# 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","\n","print('pente = ',format(p[0],\"#.2e\"),'L/mol/s ',' y_0 = ',format(p[1],\"#.2f\"))\t#Affiche le résultat\n","\n","k2=(y-p[1])/t\n","k_moy=np.mean(k2) #moyenne de k\n","u_k= np.std(k2, ddof=1) #incertitude-type de k\n","print (\"k_moy =\",format(k_moy,\"#.2e\"),\" avec u(k_moy) = \",format(u_k/9**.5,\"#.1e\"),'par calcul direct') #Affiche résultat et incertitude-type\n","\n"],"execution_count":11,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["pente =  1.13e-03 L/mol/s   y_0 =  2.54\n","k_moy = 1.12e-03  avec u(k_moy) =  4.3e-06 par calcul direct\n"]}]},{"cell_type":"markdown","metadata":{"id":"0ghFl3-jMie_"},"source":["\n","activité 6.4 Étude d’une réaction SN2\n"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":543},"id":"odNVDy81AeMa","executionInfo":{"status":"ok","timestamp":1695276162829,"user_tz":-120,"elapsed":414,"user":{"displayName":"Lionnel Malara","userId":"16342666118884215780"}},"outputId":"68f70a76-a100-490e-eb85-22ec556b2c88"},"source":["import matplotlib.pyplot as plt #Pour tracer des graphiques\n","import numpy as np\t#Importe la bibliothèque pour faire divers calculs\n","\n","## Données\n","\n","t1_2=np.array([1110,445,220,150,110]) # valeur du temps en min\n","c0=np.array([0.010,0.025,0.050,0.075,0.100]) # valeur de la concentration en mol/L\n","\n","u_t1_2=5 #incertitude-type de t1_2\n","u_c0=0.01*c0 #incertitude-type de c0 (1%)\n","\n","## Calcul de k pour ordre 2\n","\n","k=1/(t1_2*c0) #calcul de k pour ordre 2\n","u_k=k*np.sqrt((u_t1_2/t1_2)**2+(u_c0/c0)**2) #incertitude-type de k\n","k_moy=np.mean(k) #moyenne de k\n","u_kmoy= np.std(k, ddof=1)/5**(1/2) #incertitude-type de k_moy\n","print (k,' par calcul direct') #Affiche résultat pour chaque k\n","print (u_k,'u(k) par calcul direct') #Affiche résultat pour chaque u(k)\n","print (\"k_moyen =\",format(k_moy,\"#.3e\"),\" avec u(k_moyen) = \",format(u_kmoy,\"#.1e\"),'par calcul direct') #Affiche résultat et incertitude-type de la moyenne\n","\n","## Calcul des écarts normalisés dees différentes expériences pour l'ordre 2\n","\n","En = abs((k-k_moy)/(u_k**2+u_kmoy**2)**.5) #Calcul les écarts normalisés\n","print('différentes valeurs de l\\'écart normalisé',En) #Affiche les écarts normalisés\n","\n","# Tracé des écarts normalisés\n","\n","plt.figure(1)\n","plt.plot(c0, En,'bo',label='écarts normalisés') #Trace les points en bleu pour chaque écart normalisé\n","plt.xlabel('C_0 en mol/L') #Légende de l’axe des abscisses\n","plt.title('tracé des écarts normalisés pour les différentes expériences') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["[0.09009009 0.08988764 0.09090909 0.08888889 0.09090909]  par calcul direct\n","[0.00098808 0.00135204 0.00225727 0.00309342 0.00423105] u(k) par calcul direct\n","k_moyen = 9.014e-02  avec u(k_moyen) =  3.8e-04 par calcul direct\n","différentes valeurs de l'écart normalisé [0.04434706 0.17768958 0.33743563 0.40052529 0.18177845]\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]}]}