{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"Fiche diagramme de distribution acide_base.ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyMSCz3sEqDpzRiDAnCPYp+9"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":279},"id":"S83HT7adgy7V","executionInfo":{"status":"ok","timestamp":1641978123319,"user_tz":-60,"elapsed":463,"user":{"displayName":"Lionnel 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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}],"source":["import numpy as np #Pour faire divers calculs\n","import matplotlib.pyplot as plt #Pour tracer des graphiques\n","\n","## Données pour la réaction étudiée\n","K=10**(-3) \t\t#valeur de K\n","\n","## Définition des fonctions\n","def HA(x):\t\t# % de HA (h/(Ka+h))\n","\treturn (x)/(K+x)*100\n","def A(x): \t\t# % de A- (Ka/(Ka+h))\n","\t return K/(K+x)*100\n","\n","## Graphe\n","n=100\t\t#nombre de points de l'intervalle pH = [0;14]\n","x_min= 0\t#pH_min\n","x_max=14\t #pH_max\n","x = np.linspace(x_min,x_max,n) \t#liste des pH\n","h=10**(-x) \t#liste des [H3O+]\n","acide = []\t\t\t#initialisation du np.array des %HA\n","base = []\t\t\t#initialisation du np.array des %A-\n","for h in h: \t\t#boucle de calcul des concentrations sur l'intervale\n","\tacide.append(HA(h))\t#calcul et stockage des %HA\n","\tbase.append(A(h))\t#calcul et stockage des %A-\n","plt.figure(1)\n","plt.xlabel('pH') \t#légende de l’axe des abscisses\n","plt.ylabel('%') \t#légende de l’axe des ordonnées\n","plt.plot(x,acide,'b-',label='%HA')\n","#représente %HA en fonction du pH en bleu de manière continue avec une étiquette pour la courbe\n","plt.plot(x,base,'r-',label='%A-')\n","#représente %A- en fonction du pH en rouge de manière continue avec une étiquette pour la courbe\n","plt.legend() #affiche l’étiquette de la courbe\n","plt.grid() #affiche le quadrillage\n","plt.show() #affiche le graphique\n"]},{"cell_type":"code","source":["import numpy as np #Pour faire divers calculs\n","import matplotlib.pyplot as plt #Pour tracer des graphiques\n","\n","## Données pour la réaction étudiée\n","K1=10**(-3) \t\t#valeur de K1\n","K2=10**(-7) \t\t#valeur de K2\n","\n","## Définition des fonctions\n","def H2A(x):\t\t# % de H2A  (h^2/(Ka1*Ka2+h*Ka1+h^2))\n","\treturn (x**2)/(K1*K2+x*K1+x**2)*100\n","def HA(x): \t\t# % de HA- (h*Ka1/(Ka1*Ka2+h*Ka1+h^2))\n","  return x*K1/(K1*K2+x*K1+x**2)*100\n","def A(x): \t\t# % de A-2 (Ka1*Ka2/(Ka1*Ka2+h*Ka1+h^2))\n","\treturn K1*K2/(K1*K2+x*K1+x**2)*100  \n","\n","## Graphe\n","n=100\t\t#nombre de points de l'intervalle pH = [0;14]\n","x_min= 0\t#pH_min\n","x_max=14\t #pH_max\n","x = np.linspace(x_min,x_max,n) \t#liste des pH\n","h=10**(-x) \t#liste des [H3O+]\n","diacide = []\t\t\t#initialisation du np.array des %H2A\n","amph = []\t\t\t#initialisation du np.array des %HA-\n","dibase = []\t\t\t#initialisation du np.array des %A-2\n","\n","for h in h: \t\t#boucle de calcul des concentrations sur l'intervale\n","  diacide.append(H2A(h))\t#calcul et stockage des %H2A\n","  amph.append(HA(h))\t#calcul et stockage des %HA-\n","  dibase.append(A(h))\t#calcul et stockage des %A-2\n","\n","plt.figure(1)\n","plt.xlabel('pH') \t#légende de l’axe des abscisses\n","plt.ylabel('%') \t#légende de l’axe des ordonnées\n","plt.plot(x,diacide,'b-',label='%H2A')\n","#représente %H2A en fonction du pH en bleu de manière continue avec une étiquette pour la courbe\n","plt.plot(x,amph,'g-',label='%HA-')\n","#représente %H2A en fonction du pH en bleu de manière continue avec une étiquette pour la courbe\n","plt.plot(x,dibase,'r-',label='%A-2')\n","#représente %A- en fonction du pH en rouge de manière continue avec une étiquette pour la courbe\n","plt.legend() #affiche l’étiquette de la courbe\n","plt.grid() #affiche le quadrillage\n","plt.show() #affiche le graphique\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":279},"id":"6-nLhqSIhl48","executionInfo":{"status":"ok","timestamp":1641978676685,"user_tz":-60,"elapsed":641,"user":{"displayName":"Lionnel 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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]}]}