{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"authorship_tag":"ABX9TyNGF3dLbypaCho49av3b7rE"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":945},"id":"gQgWE6ucjK-J","executionInfo":{"status":"ok","timestamp":1758885406071,"user_tz":-120,"elapsed":329,"user":{"displayName":"Lionnel Malara","userId":"16342666118884215780"}},"outputId":"3f065dbb-ef4d-45cb-bf7c-6efa74440603"},"source":["import matplotlib.pyplot as plt #Pour tracer des graphiques\n","import numpy as np\t#Importe la bibliothèque pour faire divers calculs\n","import scipy.optimize as op #Importe la bibliothèque pour faire la résolution d'équation\n","\n","## Constantes d'equilibre réaction\n","\n","K=10**(-2) # valeur de K°\n","C_0=10**(-1) # valeur de C0 en mol/L\n","\n","## Quotient reactionnel réaction\n","\n","def Qr(ksi):\n","    # Renvoie la valeur du quotient reactionnel de la reaction pour l'avancements ksi\n","\n","    return (ksi**2)/(C_0-ksi)\n","\n","## Définition de la fonction Qr - K\n","\n","def f(ksi):# chercher l'avancement a l'equilibre revient a chercher le zero de Qr - K°\n","\n","    return Qr(ksi)-K\n","\n","ksi_eq=op.fsolve(f,C_0/2) #Résolution de la fonction f=0 avec la valeur initiale C0/2\n","\n","print('ksi_eq = ',format(ksi_eq[0],\"#.2e\"),' en mol/L') #Affiche le résultat\n","\n","## Determination de l'avancements à l'equilibre : resolution graphique\n","\n","# Tracé automatique de f(ksi)\n","\n","n=100 #nombre de points de l'intervalle 0;C0\n","ksi_i=C_0/n #premier point\n","ksi_f=C_0*(n-1)/n #dernier point\n","ksi = np.linspace(ksi_i,ksi_f,n) # np.array des avancements entre 0 et C0\n","\n","y = []# initialisation du np.array des y\n","\n","for x in ksi: #boucle de calcul des y sur l'intervale de ksi\n","\n","    y.append(f(x))# calcul et stockage de la fonction Qr-K dans y\n","\n","plt.figure(1)\n","plt.xlabel('ksi') #Légende de l’axe des abscisses\n","plt.ylabel('f') #Légende de l’axe des ordonnées\n","plt.plot(ksi,y,'b-',label='Qr(ksi)-K°') #Représente y en fonction de x en bleu de manière continue avec une étiquette pour la courbe\n","plt.title('f(ksi)') #Affiche le titre\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n","\n","# Tracé de f(ksi) avec changement d'échelle\n","\n","plt.figure(2)\n","plt.xlabel('ksi') #Légende de l’axe des abscisses\n","plt.ylabel('f') #Légende de l’axe des ordonnées\n","plt.plot(ksi,y,'b-',label='Qr(ksi)-K°') #Représente y en fonction de x en bleu de manière continue avec une étiquette pour la courbe\n","plt.xlim(0, 0.05) #limite axe abscisse\n","plt.ylim(-.05, .05) #limite axe ordonnée\n","plt.title('aggrandissement') #Affiche le titre\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n"],"execution_count":2,"outputs":[{"output_type":"stream","name":"stdout","text":["ksi_eq =  2.70e-02  en mol/L\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}}]}]}