{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UVDFKcw0M4PR"
      },
      "source": [
        "#**1. Dosage pH - métrique des ions carbonate par l'acide chlorhydrique**\n",
        "\n",
        "## Description du protocole :\n",
        "- On procède à l'étalonnage du pH - mètre grâce aux solutions tampon de $pH = 4,0$ et $pH = 7,0$ ,\n",
        "- On remplit la burette d'une solution d'acide chlorhydrique ($\\mathrm {H_{3}O_{(aq)}^{+}, Cl_{(aq)}^{-})}$ à une concentration de $\\mathrm {0,1 \\ mol.L^{–1}}$\n",
        "- On prélève $20,0 \\ mL$ d'une solution de carbonate de solution $\\mathrm {( CO_{3(aq)}^{2-} , 2 Na_{(aq)} ^{+})}$ à l'aide d'une pipette jaugée deux traits de $20,0 \\ mL$ dont on cherche la concentration.\n",
        "\n",
        "## Mesures\n",
        "On relève le $pH$ en fonction du volume d'acide chlorhydrique versé en faisant très attention aux variations de $pH$. L'ajout s'arrête vers $\\mathrm {V_{acide} = 20, 0 \\ mL}$ quand on s'aperçoit que le second saut de pH est bien dépassé.\n",
        "\n",
        "La courbe est tracée au fur et à mesure de la prise des points."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "96fck9ucND4s"
      },
      "source": [
        "#Scripts Python\n",
        "On entre les valeurs de pH et de volumes relevées sous deux tableaux \"array\" disctincts.\n",
        "\n",
        "L'idée est de :\n",
        "  - Tracer la courbe pH - métrique,\n",
        "  - Ecrire une fonction dérivée pour déterminer le ou les volumes à l'équivalence,\n",
        "  - Calculer la concentration de la dibase,\n",
        "  - Tracer l'évolution des quantités de matière en fonction du volume de titrant versé, d'une façon générale :\n",
        "    - la dibase, ici les ions carbonate\n",
        "    - l'espèce amphotère, ici les ions hydrogénocarbonate\n",
        "    - le diacide, ici l'acide carbonique\n",
        "    - le titrant, ici l'acide chlorhydrique"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Jk-8suNRNJrM"
      },
      "source": [
        "#Importation des bibliothèques\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Entrée des valeurs expérimentales\n",
        "Va = np.array([0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.2, 4.4, 4.6, 4.8, 5, 5.2, 5.4, 5.6, 5.8, 6.0, 6.5, 7.0, 7.5, 8, 8.5, 9.0, 9.2, 9.4, 9.6, 9.8, 10.0, 10.2, 10.4, 10.6, 10.8, 11.0, 11.2, 11.4, 11.6, 11.8, 12, 12.5, 13, 13.5, 14, 14.5, 15, 15.5, 16, 16.5, 17, 17.5, 18, 18.5, 19, 19.5, 20])\n",
        "pH = np.array([10.83, 10.63, 10.45, 10.27, 10.12, 9.93, 9.78, 9.57, 9.27, 9.18, 8.97, 8.74, 8.17, 7.6, 7.35, 7.14, 7.03, 6.9, 6.81, 6.64, 6.47, 6.28, 6.11, 5.87, 5.7, 5.52, 5.42, 5.19, 4.91, 3.98, 3.19, 2.89, 2.69, 2.63, 2.55, 2.45, 2.42, 2.36, 2.32, 2.28, 2.2, 2.12, 2.06, 2.01, 1.96, 1.93, 1.89, 1.86, 1.83, 1.81, 1.78, 1.76, 1.73, 1.72, 1.7, 1.68])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "dxi2cQiu2Daw"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#**2. Tracé de la courbe du pH en fonction du volume de solution titrante versé**"
      ],
      "metadata": {
        "id": "FRAhHQclWGOw"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Tracé de la courbe pH = f(V)\n",
        "\n",
        "plt.plot(Va, pH, 'b+')\n",
        "plt.xlabel('Volume de solution titrante versée / mL')\n",
        "plt.ylabel('pH')\n",
        "plt.title('Evolution du pH en fonction de Va versé')\n",
        "plt.grid()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "N2q5AmaHVg1s",
        "outputId": "03d9520e-6600-4a9b-eedc-a426691e73f0"
      },
      "execution_count": null,
      "outputs": [
        {
          "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": "5i2d4fQjWvV0"
      },
      "source": [
        "# **3. Évaluation du volume équivalent**\n",
        "\n",
        "On estime numériquement les valeurs de $\\frac{\\mathrm{d}pH}{\\mathrm{d}V}$ pour divers volumes $V$ de solution titrante versée. Les valeurs de $\\frac{\\mathrm{d}pH}{\\mathrm{d}V}$ sont déterminées à l'aide de la dérivée centrée sur un point d'abscisse $V_i$, c'est à dire :\n",
        "\n",
        "$$ \\left( \\dfrac{dpH}{dV} \\right)_i =  \\dfrac {pH_{i+1}-pH_{i-1}}{V_{i+1}-V_{i-1}}. $$\n",
        "\n",
        "Ce schéma numérique limite en partie l'influence du bruit et n'induit pas de décalage. Il faut noter qu'on ne peut évaluer ainsi la dérivée sur les points extrèmes — on n'en a de toute façon pas besoin. On crée une fonction `VolEq` qui prend en argument les array `V` et `pH`, et qui retourne :\n",
        "* un array contenant les dérivées numériques ;\n",
        "* un array contenant les volumes, privés des deux points extrèmes.\n",
        "\n",
        "Pour évaluer le volume équivalent, on repère le volume qui maximise la dérivée précédemment calculée.\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LOEc7svGNWQ6"
      },
      "source": [
        "#Calcul de la dérivée :\n",
        "- Calcul de la dérivée centrée via numpy qui fait tout le travail : élimination des deux points en amont et en aval pour permettre le calcul sur les vecteurs.\n",
        "- Numpy balaye automatiquement le tableau pour calculer les valeurs de cette dérivée centrée. Cela permet d'éviter de faire des boucles conditionnelles (type for ou while).\n",
        "\n",
        " - Exemple de premiers calculs : (10.45 - 10.83) / (1.0-0.0) = -0.38 et ainsi de suite : (10.27-10.63)/(1.5-0.5) = -0.36\n",
        "\n",
        "- En Python, avec Numpy, pour sélectionner un sous-ensemble de données dans un `array`, on utilise les crochets []. Par exemple :\n",
        "  * pour avoir un sous-ensemble des 10 _premiers_ éléments d'un `array` `x`, on fait : `x[:9]` ;\n",
        "  * pour avoir un sous-ensemble des 10 _derniers_ éléments d'un `array` `x`, on fait : `x[-9:]` ;\n",
        "  * pour avoir un sous ensemble avec les 2e, 3e et 4 éléments d'un `array` `x`, on fait : `x[1:4]` ;\n",
        "  * si on écrit `x[:-2]`; on enlève les deux *derniers* éléments d'un `array` `x` ;\n",
        "  * si on écrit `x[2:]`; on enlève les deux *premiers* éléments d'un `array` `x`.\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def derivee1(x,y):\n",
        "    return (y[2:]-y[:-2])/(x[2:]-x[:-2])\n",
        "\n",
        "derpH = derivee1(Va, pH)\n",
        "\n",
        "Va_sub = Va[1:-1] # on redimensionne les valeurs de Va pour qu'elles soient de même taille que derpH\n",
        "\n",
        "\n",
        "plt.plot(Va_sub, derpH , '+-', color = 'brown', label=\"dérivée\")\n",
        "plt.xlabel(\"Va (mL)\")\n",
        "plt.ylabel(\"$\\dfrac{pH}{dV}$'\")\n",
        "plt.grid(linestyle='-.')\n",
        "plt.title(\"détermination d'un volume à l'équivalence\")\n",
        "plt.xlim(0,20)\n",
        "plt.ylim(-10,0)\n",
        "plt.legend()\n",
        "plt.show()\n",
        "\n",
        "print('Vaeq 2 =', Va_sub[np.argmin(derpH)], 'mL')\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 489
        },
        "id": "-K1wBcClXOMB",
        "outputId": "189fd754-4b5a-4b72-b22c-6abc46137647"
      },
      "execution_count": null,
      "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": [
            "Vaeq 2 = 10.0 mL\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sV614HkePS4r"
      },
      "source": [
        "# Détermination des deux volumes à l'équivalence"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "k5ReGPYUZUuR"
      },
      "source": [
        "Pour l'instant, on a obtenu uniquement le second volume à l'équivalence.\n",
        "Pour obtenir également le premier, on peut également utiliser des opérateurs booléens pour sélectionner certaines valeurs. Par exemple :\n",
        "* `Va[Va<14]` sélectionne toutes les valeurs de `Va` qui sont plus petites que 14 ;\n",
        "* `Va[(Va<14) & (Va>1)]` sélectionne toutes les valeurs de `Va` qui sont plus petites que 14 et plus grandes que 1.\n",
        "\n",
        "On décide d'afficher les valeurs des volumes pour lesquels la dérivée du pH est inférieure à un seuil qu'on se donne en regardant le graphe précédent. Cela permet d'en déduire les deux volumes équivalents."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gu2CphsvPXQJ",
        "outputId": "d3ebdad8-c6ce-43c1-d544-07f45511140b"
      },
      "source": [
        "print( Va_sub[derpH<-2], \"\\n\", derpH[derpH<-2], sep='' )"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[ 4.6  4.8  5.   9.8 10.  10.2]\n",
            "[-2.    -2.85  -2.05  -3.025 -4.3   -2.725]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rNzpGU4KP534"
      },
      "source": [
        "#Calcul de l'évolution des quantités de matière au cours du dosage\n",
        "\n",
        "\n",
        "Méthode classique, valeur sûre, qui utilise des boucles conditionnelles et des listes."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 491
        },
        "id": "5psMdomSQFlD",
        "outputId": "aa916eec-14a0-49f7-8bb0-e8c8260c5d56"
      },
      "source": [
        "#Calcul de la concentration de la dibase\n",
        "Ca = 0.1  # concentration de la solution titrante de l'acide chlorhydrique\n",
        "V_0=20.0\n",
        "Vae1=4.8\n",
        "Vae2=10\n",
        "\n",
        "C_b=(Ca*Vae2/(2*V_0))\n",
        "print (\"La concentration de la dibase est : \" , round(C_b,3),  \"en mol.L^-1\")\n",
        "\n",
        "#création des listes qui seront retransformées en tableaux numpy\"\n",
        "n_carb=[]\n",
        "n_amph=[]\n",
        "n_acide=[]\n",
        "n_acide_carb=[]\n",
        "\n",
        "def n_avant_eq1(i):\n",
        "                                            #La commande append permet de remplir une liste au fur et à mesure des itérations\n",
        "    n_carb.append((C_b*V_0-Ca*i))\n",
        "    n_amph.append(Ca*i)\n",
        "    n_acide.append(0)\n",
        "    n_acide_carb.append(0)\n",
        "\n",
        "def n_entre_Veq(i):\n",
        "    n_carb.append(0)\n",
        "    n_amph.append(C_b*V_0-Ca*(i-Vae1))\n",
        "    n_acide.append(0)\n",
        "    n_acide_carb.append(Ca*(i-Vae1))\n",
        "\n",
        "def n_apres_eq(i):\n",
        "                                         #La commande append permet de remplir une liste au fur et à mesure des itérations\n",
        "  n_carb.append(0)\n",
        "  n_amph.append(0)\n",
        "  n_acide_carb.append(Ca*(Vae2-Vae1))\n",
        "  n_acide.append((Ca*i-2*C_b*V_0))\n",
        "\n",
        "\n",
        "for i in Va:\n",
        "    if i<=Vae1:\n",
        "     n_avant_eq1(i)\n",
        "\n",
        "    elif Vae1 < i < Vae2:\n",
        "\n",
        "     n_entre_Veq(i)\n",
        "\n",
        "    else:\n",
        "     n_apres_eq(i)\n",
        "\n",
        "#transformation des listes en array\n",
        "n_carb=np.array(n_carb)\n",
        "n_acide=np.array(n_acide)\n",
        "n_amph=np.array(n_amph)\n",
        "n_acide_carb=np.array(n_acide_carb)\n",
        "\n",
        "#Affichage graphique\n",
        "plt.plot(Va,n_carb,'+-', color= \"blue\", label=\"n(ions carbonate)\")\n",
        "plt.plot(Va,n_amph,'+-',color= \"purple\", label=\"n(ions hydrogénocarbonate)\")\n",
        "plt.plot(Va,n_acide_carb,'+-', color= \"green\", label=\"n(acide carbonique)\")\n",
        "plt.plot(Va,n_acide,'+-', color= \"red\", label=\"n(acide chlorhydrique)\")\n",
        "\n",
        "plt.xlabel('V en mL')\n",
        "plt.ylabel('n en mmol')\n",
        "plt.title('Évolution des quantités de matière au cours du titrage')\n",
        "plt.legend()\n",
        "plt.grid(linestyle='-.')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La concentration de la dibase est :  0.025 en mol.L^-1\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}