thermohub/preliminaries/SIS_Problem_1_2_CHEG231_EMF.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f225380f",
   "metadata": {},
   "source": [
    "# SIS Problem 1.2 - volume of water and mercury - EMF solution\n",
    "\n",
    "This notebok plots data given in the table for SIS problem 1.2. The original data source is R. H. Perry and D. Green, eds., Chemical Engineers’ Handbook, 6th ed., McGraw-Hill, New York, 1984, pp. 3-75–3-77.\n",
    "\n",
    "Eric Furst  \n",
    "August 2023"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "795db611",
   "metadata": {},
   "source": [
    "\n",
    "## Experimental Data\n",
    "\n",
    "The table in the problem gives the volume in cm<sup>3</sup> of one gram of each fluid between 0 and 100 C.\n",
    "  \n",
    "\n",
    "|Temperature, C| Volume of 1g H<sub>2</sub>O | Volume 1g of Hg |\n",
    "|:----:|:----:|:----:|\n",
    "|0|1.001329|0.0735560|\n",
    "|1|1.0000733|0.0735694|\n",
    "|2|1.0000321|0.0735828|\n",
    "|3|1.0000078|0.0735961|\n",
    "|4|1.0000000|0.0736095|\n",
    "|5|1.0000081|0.0736228|\n",
    "|6|1.0000318|0.0736362|\n",
    "|7|1.0000704|0.0736496|\n",
    "|8|1.0001236|0.0736629|\n",
    "|9|1.0001909|0.0736763|\n",
    "|10|1.0002719|0.0736893|\n",
    "|20|1.0015678|0.0738233|\n",
    "|30|1.0043408|0.0739572|\n",
    "|40|1.0078108|0.0740910|\n",
    "|50|1.012074|0.0742250|\n",
    "|60|1.017046|0.0743592|\n",
    "|70|1.022694|0.0744936|\n",
    "|80|1.028987|0.0746282|\n",
    "|90|1.035904|0.0747631|\n",
    "|100|1.043427|0.0748981|\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8ba8e9f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9cacacf5",
   "metadata": {},
   "source": [
    "The first step is to create numpy arrays of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f3d2f917",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Data, T in C volume in cm^3\n",
    "\n",
    "T1 = np.arange(0,10,1)\n",
    "T2 = np.linspace(10,100,10)\n",
    "T = np.concatenate((T1,T2))\n",
    "\n",
    "Vh2o = np.array([1.0001329, 1.0000733, 1.0000321, 1.0000078, 1.0000000, \n",
    "                 1.0000081, 1.0000318, 1.0000704, 1.0001236, 1.0001909,\n",
    "                 1.0002719, 1.0015678, 1.0043408, 1.0078108, 1.012074,\n",
    "                 1.017046, 1.022694, 1.028987, 1.035904, 1.043427])\n",
    "\n",
    "Vhg = np.array([0.0735560, 0.0735694, 0.0735828, 0.0735961, 0.0736095,\n",
    "                0.0736228, 0.0736362, 0.0736496, 0.0736629, 0.0736763,\n",
    "                0.0736893, 0.0738233, 0.0739572, 0.0740910, 0.0742250,\n",
    "                0.0743592, 0.0744936, 0.0746282, 0.0747631, 0.0748981])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4133d8cd",
   "metadata": {},
   "source": [
    "Now we can plot the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7579e5f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Volume of water and mercury with temperature')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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qXbp0nssPDQ3N9WoST+8o2TVMmDBBTZo0yXWa613SXpB1vJ74+HhNnTpVW7Zs0ebNm/Xqq69KuvIvp6SkJB05ckQlSpRwqnn27Nm67777NGnSJKdlnTlzxqX3vPnmmxUYGKgnnngizxNMY2JinJ5fe9JhXj755BMFBwdryZIlTmHiiy++cGn+3JQqVUopKSk52nNrKwylS5dW3bp19eabb+b6enbAzXZtX2Wf6PnTTz9d933yuy/k9ZnceuutateunT744AO1a9dOixYt0ujRoxUYGHjd95fc2x6Lguz9b/jw4XrooYdyneb222/36HvmtU2GhISoRIkSCg4O9sh+VtD9XSr4tuXO3wyrI9xYQJ8+fTR58mS98847SkxMVO/evVWsWDHH6/Hx8Vq4cKFOnDjh9Id+5syZKlas2HX/EFapUkWpqan6+eefHeHi4sWL+uqrrzy6Ds2bN9dNN93k0vB8buLj45WQkKAdO3Y43c9j5syZstlsiouLc6uu+Ph42Ww2/d///Z8CAgJ0zz33SJJatWqll156SUeOHNE999zjdJjDZrPJbrc7Lefbb7/Vpk2bnA4NZk9z7b/uihUrpri4OO3cuVN169Z1/IvVE2w2m4KCgpy+SM+fP69Zs2a5vcy4uDgtWrTIaRvJzMzUvHnzClyvKzp27KjExERVq1Ytx2EgV1SvXl3VqlXTtGnTNHTo0ByfXTZP7guDBg1SmzZt1KtXLwUGBqpv374uzefO9pibq7e9sLCwfNfvynKvdvvtt+u2227TN998o7feestj73c9CxYs0DvvvOMI8WfOnNHixYvVokULBQYGemw/K+j+LhV82yrMvxn+isNSFhAbG6u6detq/PjxunTpUo5724wcOVLBwcGKi4vTnDlz9OWXX+rxxx/Xf/7zH40aNUoRERF5Lrtbt24KDAxU9+7dlZiYqAULFqhNmzbKzMz06DqUKFFCEyZM0Icffqju3bvr888/19q1azV//ny99tpr6t+//3XnHzJkiCpWrKgOHTpoypQpWrZsmQYNGqSJEyeqf//+ql69ult1lS1bVrVr19ayZcvUvHlzR2hs1aqVTp8+rW3btuU4BNCxY0ctW7ZMI0eO1MqVKzVp0iS1bds2x7+cSpYsqejoaP373//WsmXLtG3bNsfluO+9956OHj2qFi1aaMaMGVq9erUWL16sv//972rZsqVb6yJdOV/h7Nmz6tGjh5KSkvTJJ5+oRYsWeX6hu+Lq0YN58+Zp8eLF6tChw3XPkfKkMWPGKDg4WM2aNdOkSZO0cuVKJSYmauLEierYseMNR2Qk6YMPPtCRI0fUpEkTzZw5U6tXr9bMmTMd54hInt0XWrdurVq1amnVqlV65JFHVLZsWZfmc2d7zE2dOnUkSWPHjtXmzZu1bds2Xbx4Md/rca1q1aopLCxMc+bM0erVq7Vt2zbH6OmHH36oFStWqG3btpo7d67Wrl2rL774QgkJCU4jzZ4SGBio1q1ba+HChZo/f77i4+OVnp7udPNCT+xnntjfPbFtFdbfDL/l6zOa4RnvvfeekWRq1aqV6+u7d+82nTp1MhERESYkJMTUq1cvxxUNuV0tZYwxiYmJpn79+iYsLMxUrVrVvP/++3mexf/cc8/lusx33nnHqT376oPPPvvMqX3NmjWmQ4cOJjIy0gQHB5uKFSuaDh065JguN0eOHDE9evQwpUqVMsHBweb2228377zzjuMqjGyuXi2VbciQIUaSefPNN53ab7vtNqcrvrJlZGSYF1980VSsWNGEhoaahg0bmi+++CLXKyKWL19uGjRoYOx2u5FkevXq5Xjt0KFD5qmnnjIVK1Y0wcHBpkyZMqZZs2bmjTfecEyTVz9ez7Rp08ztt99u7Ha7qVq1qklISDBTp07NcWVTXv107733mnvvvdepbcOGDaZJkybGbrebcuXKmZdeesl89NFHLl8tVbx48Vzf54477sjRnltdv/zyixk4cKCJiYkxwcHBJjIy0jRq1MiMGDHCcfVeXttitk2bNpl27dqZiIgIY7fbTbVq1cyQIUOcpinIvnCtUaNGGUnm66+/vu5018rv9pjb1VIZGRnm6aefNmXKlDE2m83pc8qr9ujoaKftMy9z5841NWrUMMHBwTmuDvrmm2/MI488YsqWLWuCg4NNuXLlTMuWLc3kyZMd02RfLbV161an5Wb38y+//OLUfu32k/05jx071owePdpUqlTJhISEmAYNGpivvvoqR70F3c88tb97YttyZV3+KGzGXHPnLgBAoYuNjZXNZtPWrVt9XYqlHD58WDExMXrnnXf04osv+roc+Ajn3ACAl6Snp2vPnj1asmSJtm/froULF/q6JMCSCDcA4CU7duxQXFycSpUqpZEjR6pLly6+LgmwJA5LAQAAS+FqKQAAYCmEGwAAYCmEGwAAYCl/uBOKs7KydOLECZUsWdLlW9YDAADfMsbozJkzqlChggICrj8284cLNydOnMjx69gAAMA/HDt27IY/dPuHCzclS5aUdKVzwsPDfVwNAABwRXp6uipXruz4Hr+eP1y4yT4UFR4eTrgBAMDPuHJKCScUAwAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAAS/nD3aEYAAAUjswsoy2HTiv1zAWVLRmqxjGRCgzw/o9UE24AAECBLd2TrNGL9yk57YKjrXxEqEZ2qqX7a5f3ai0clgIAAAWydE+y+s/e4RRsJCkl7YL6z96hpXuSvVoP4QYAgCIoM8to08FT+veu49p08JQys4yvS8pVZpbR6MX7lFt12W2jF+/zav0clgIAoIgpSod4bmTLodM5RmyuZiQlp13QlkOn1bRaKa/UxMgNAMDy/GUURCp6h3huJPVM3sHGnek8gZEbAICl+dMoyI0O8dh05RBP61rlfHIVUm7Klgz16HSewMgNACBfGAUpPPk5xFNUNI6JVPmIUOUVtWy6EiYbx0R6rSZGbgAALmMUpHAVxUM8NxIYYNPITrXUf/YO2SSn/s7u1ZGdanm1jxm5AQAf8acREIlREG8oiod4XHF/7fKa9HhDlYtwrqtcRKgmPd7Q68GXkRsA8AF/GgGRGAXxluxDPClpF3Lta5uuBAZvHuJx1f21y6t1rXJF4g7FjNwAsAR/GgXxtxEQiVEQb8k+xCMpxzksvjrEkx+BATY1rVZKD9SvqKbVSvmsTkZuAORQVH4fxlX+NArijyMgEqMg3pR9iOfabbpcEd2miyLCDVDICAqFK3sU5Novr+xREF8c77+eonjDM1f48yhIUTrR1VVF6RCPPyLcwK8QFAqXvwUFfxwF8ccREIlREF/IPsSD/CPceMi1X7qNom/W9iO/On0JSyqUaTy57KLyBZAbgkLh8seg4I+jIP44AiIxCgL/4tNws3btWr3zzjvavn27kpOTtXDhQnXp0uW686xZs0ZDhw7V3r17VaFCBb388svq16+fdwrOQ25fugE26erzGW8qFixJ+u3cJY9P46llExQ8h6DgHf44CuKvIyASoyDwHz4NN7///rvq1aunJ598Un/6059uOP2hQ4fUvn179e3bV7Nnz9aGDRv07LPPqkyZMi7NXxjy+tK99kKNq0OFp6fx1LIJCp5DUPAOfxwF8ecREIlREPgHn4abdu3aqV27di5PP3nyZN1yyy0aP368JKlmzZratm2b/va3v/kk3FzvS9cfERQ8h6DgHf46CuLPIyASoyAo+vzqnJtNmzapTZs2Tm1t27bV1KlTdenSJQUHB+eYJyMjQxkZGY7n6enpHqvnRl+6/oig4BkEBe/w51EQRkCAwuNXN/FLSUlRVFSUU1tUVJQuX76skydP5jpPQkKCIiIiHI/KlSt7rJ6i9GXqaUVp3fw5KBSlH5K7EX+9eVhRu+17fhSVG54BVuNXIzeSZLM57/zGmFzbsw0fPlxDhw51PE9PT/dYwClKX6aeVpTWjREF7/HXwyWMggC4ml+Fm3LlyiklJcWpLTU1VUFBQSpVKvdDKHa7XXa7vVDqudGXrj8iKHgOQcG7OA8EQDa/CjdNmzbV4sWLndqWLVum2NjYXM+3KWzX+9L1RwQFzyMoAID32Uz2cR0fOHv2rA4cOCBJatCggcaNG6e4uDhFRkbqlltu0fDhw3X8+HHNnDlT0pVLwWvXrq1nnnlGffv21aZNm9SvXz/NnTvX5aul0tPTFRERobS0NIWHh3tkPbjPjff42x2KAQCekZ/vb5+Gm9WrVysuLi5He69evTRjxgz17t1bhw8f1urVqx2vrVmzRkOGDHHcxO+VV17J1038CiPcSNyhGACAwuQ34cYXCivcAACAwpOf72+/uhQcAADgRgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUgg3AADAUnwebiZOnKiYmBiFhoaqUaNGWrdu3XWnnzNnjurVq6dixYqpfPnyevLJJ3Xq1CkvVQsAAIo6n4abefPmafDgwRoxYoR27typFi1aqF27djp69Giu069fv149e/ZUnz59tHfvXn322WfaunWrnn76aS9XDgAAiiqfhptx48apT58+evrpp1WzZk2NHz9elStX1qRJk3Kd/uuvv1aVKlU0cOBAxcTE6O6779Yzzzyjbdu2eblyAABQVPks3Fy8eFHbt29XmzZtnNrbtGmjjRs35jpPs2bN9NNPPykxMVHGGP3888/6/PPP1aFDhzzfJyMjQ+np6U4PAABgXT4LNydPnlRmZqaioqKc2qOiopSSkpLrPM2aNdOcOXPUrVs3hYSEqFy5crrppps0YcKEPN8nISFBERERjkflypU9uh4AAKBo8fkJxTabzem5MSZHW7Z9+/Zp4MCBeu2117R9+3YtXbpUhw4dUr9+/fJc/vDhw5WWluZ4HDt2zKP1AwCAoiXIV29cunRpBQYG5hilSU1NzTGaky0hIUHNmzfXSy+9JEmqW7euihcvrhYtWuiNN95Q+fLlc8xjt9tlt9s9vwIAAKBI8tnITUhIiBo1aqSkpCSn9qSkJDVr1izXec6dO6eAAOeSAwMDJV0Z8QEAAPDpYamhQ4fqn//8p6ZNm6b//ve/GjJkiI4ePeo4zDR8+HD17NnTMX2nTp20YMECTZo0ST/++KM2bNiggQMHqnHjxqpQoYKvVgMAABQhPjssJUndunXTqVOnNGbMGCUnJ6t27dpKTExUdHS0JCk5Odnpnje9e/fWmTNn9P777+uFF17QTTfdpJYtW2rs2LG+WgUAAFDE2Mwf7HhOenq6IiIilJaWpvDwcF+XAwAAXJCf72+fXy0FAADgSYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKYQbAABgKUHuznjp0iWlpKTo3LlzKlOmjCIjIz1ZFwAAgFvyNXJz9uxZffjhh7rvvvsUERGhKlWqqFatWipTpoyio6PVt29fbd26tbBqBQAAuCGXw83f//53ValSRVOmTFHLli21YMEC7dq1S99//702bdqkkSNH6vLly2rdurXuv/9+7d+/vzDrBgAAyJXNGGNcmbBr16567bXXVKdOnetOl5GRoalTpyokJERPP/20R4r0pPT0dEVERCgtLU3h4eG+LgcAALggP9/fLocbqyDcAADgf/Lz/c3VUgAAwFLyHW6SkpI0cuRIrVy5UpK0du1atWvXTi1bttT06dM9XiAAAEB+5CvczJ49W+3bt9eSJUv0wAMPaMaMGXrggQdUqVIlVa1aVf369dPnn39eWLUCAADcUL7uc/Puu+/q3Xff1cCBA7VixQp16tRJb775poYMGSJJqlWrlsaPH6+HH364UIoFAAC4kXyN3Ozfv1+dOnWSJMXHx+vy5cuKj493vN6hQwd99913nq0QAAAgH/IVboKDg3Xx4kXHc7vdrhIlSjieh4SE6Pz5856rDgAAIJ/yFW5uvfVWp5GZ48ePKyYmxvH84MGDqlSpkueqAwAAyKd8nXPzl7/8RTfffLPj+bXXmW/btk2PPPKIZyoDAABwAzfxAwAARR438QMAAH9YboWb9evXe7oOAAAAj8h3uFmyZIkeeuihwqgFAACgwPIVbmbNmqUePXro448/Lqx6AAAACsTlcDN+/Hj9+c9/1pw5c9SqVavCrAkAAMBtLl8KPnToUE2YMMFxh2IAAICiyOWRm2bNmumDDz7QqVOnCrMeAACAAnE53CxfvlwxMTFq3bq10tPTC7MmAAAAt7kcbkJDQ7Vo0SLVqlVLbdu2LcyaAAAA3Javq6UCAwM1e/ZsNW7cuLDqAQAAKBC3buL33nvveboOAAAAj+DnFwAAgKXk61fBr3bhwgV9++23Sk1NVVZWltNrnTt3LnBhAAAA7nAr3CxdulQ9e/bUyZMnc7xms9mUmZlZ4MIAAADc4dZhqQEDBqhr165KTk5WVlaW04NgAwAAfMmtcJOamqqhQ4cqKirK0/UAAAAUiFvh5uGHH9bq1as9XAoAAEDB2YwxJr8znTt3Tl27dlWZMmVUp04dBQcHO70+cOBAjxXoaenp6YqIiFBaWprCw8N9XQ4AAHBBfr6/3Tqh+OOPP9ZXX32lsLAwrV69WjabzfGazWYr0uEGAABYm1vh5tVXX9WYMWM0bNgwBQRwqxwAAFB0uJVMLl68qG7dunkk2EycOFExMTEKDQ1Vo0aNtG7duutOn5GRoREjRig6Olp2u13VqlXTtGnTClwHAACwBrfSSa9evTRv3rwCv/m8efM0ePBgjRgxQjt37lSLFi3Url07HT16NM95HnnkEa1YsUJTp07V999/r7lz56pGjRoFrgUAAFiDWycUDxw4UDNnzlS9evVUt27dHCcUjxs3zqXl3HXXXWrYsKEmTZrkaKtZs6a6dOmihISEHNMvXbpU3bt3148//qjIyMj8li2JE4oBAPBHhX5C8e7du9WgQQNJ0p49e5xeu/rk4uu5ePGitm/frmHDhjm1t2nTRhs3bsx1nkWLFik2NlZ//etfNWvWLBUvXlydO3fW66+/rrCwMDfWBAAAWI1b4WbVqlUFfuOTJ08qMzMzx40Ao6KilJKSkus8P/74o9avX6/Q0FAtXLhQJ0+e1LPPPqvTp0/ned5NRkaGMjIyHM/T09MLXDsAACi63DrnJi0tTadPn87Rfvr06XyHh2tHeowxeY7+ZGVlyWazac6cOWrcuLHat2+vcePGacaMGTp//nyu8yQkJCgiIsLxqFy5cr7qAwAA/sWtcNO9e3d98sknOdo//fRTde/e3aVllC5dWoGBgTlGaVJTU/P8WYfy5curYsWKioiIcLTVrFlTxhj99NNPuc4zfPhwpaWlOR7Hjh1zqT4AAOCf3Ao3mzdvVlxcXI72++67T5s3b3ZpGSEhIWrUqJGSkpKc2pOSktSsWbNc52nevLlOnDihs2fPOtp++OEHBQQEqFKlSrnOY7fbFR4e7vQAAADW5Va4ycjI0OXLl3O0X7p0Kc/DQ7kZOnSo/vnPf2ratGn673//qyFDhujo0aPq16+fpCujLj179nRM36NHD5UqVUpPPvmk9u3bp7Vr1+qll17SU089xQnFAABAkpvh5s4779RHH32Uo33y5Mlq1KiRy8vp1q2bxo8frzFjxqh+/fpau3atEhMTFR0dLUlKTk52uudNiRIllJSUpN9++02xsbF67LHH1KlTJ/3jH/9wZzUAAIAFuXWfmw0bNqhVq1a68847FR8fL0lasWKFtm7dqmXLlqlFixYeL9RTuM8NAAD+Jz/f326N3DRv3lybNm1S5cqV9emnn2rx4sW69dZb9e233xbpYAMAAKzPrZEbf8bIDQAA/qdQRm5+//33fBWR3+kBAAA8weVwc+utt+qtt97SiRMn8pzGGKOkpCS1a9eOk3wBAIBPuPzzC6tXr9arr76q0aNHq379+oqNjVWFChUUGhqqX3/9Vfv27dOmTZsUHBys4cOH689//nNh1g0AAJCrfJ9z89NPP+mzzz7T2rVrdfjwYZ0/f16lS5dWgwYN1LZtW7Vv314BAW6dp+wVnHMDAID/yc/3NycUAwCAIq/QLwUHAAAoqgg3AADAUgg3AADAUgg3AADAUgg3AADAUtwON+vWrdPjjz+upk2b6vjx45KkWbNmaf369R4rDgAAIL/cCjfz589X27ZtFRYWpp07dyojI0OSdObMGb311lseLRAAACA/3Ao3b7zxhiZPnqwpU6YoODjY0d6sWTPt2LHDY8UBAADkl1vh5vvvv9c999yToz08PFy//fZbQWsCAABwm1vhpnz58jpw4ECO9vXr16tq1aoFLgoAAMBdboWbZ555RoMGDdLmzZtls9l04sQJzZkzRy+++KKeffZZT9cIAADgMpd/FfxqL7/8stLS0hQXF6cLFy7onnvukd1u14svvqgBAwZ4ukYAAACXFeiHM8+dO6d9+/YpKytLtWrVUokSJTxZW6HghzMBAPA/+fn+dmvkJluxYsUUGxtbkEUAAAB4lFvh5sKFC5owYYJWrVql1NRUZWVlOb3O5eAAAMBX3Ao3Tz31lJKSkvTwww+rcePGstlsnq4LAADALW6Fm//85z9KTExU8+bNPV0PAABAgbh1KXjFihVVsmRJT9cCAABQYG6Fm3fffVevvPKKjhw54ul6AAAACsStw1KxsbG6cOGCqlatqmLFijn9vpQknT592iPFAQAA5Jdb4ebRRx/V8ePH9dZbbykqKooTigEAQJHhVrjZuHGjNm3apHr16nm6HgAAgAJx65ybGjVq6Pz5856uBQAAoMDcCjdvv/22XnjhBa1evVqnTp1Senq60wMAAMBX3PptqYCAK5no2nNtjDGy2WzKzMz0THWFgN+WAgDA/xT6b0utWrXKrcIAAAAKm1vh5t577/V0HQAAAB7hVrhZu3btdV+/55573CoGAACgoNwKN/fdd1+OtqvPvynK59wAAABrc+tqqV9//dXpkZqaqqVLl+rOO+/UsmXLPF0jAACAy9wauYmIiMjR1rp1a9ntdg0ZMkTbt28vcGEAAADucGvkJi9lypTR999/78lFAgAA5ItbIzfffvut03NjjJKTk/X222/zkwwAAMCn3Ao39evXl81m07X3/2vSpImmTZvmkcIAAADc4Va4OXTokNPzgIAAlSlTRqGhoR4pCgAAwF1uhZvo6GhP1wEAAOARLoebf/zjHy4vdODAgW4VAwAAUFAu/3BmTEyMawu02fTjjz8WqKjCxA9nAgDgfwrlhzOvPc8GAACgKCrwfW6MMTmumgIAAPAVt8PNzJkzVadOHYWFhSksLEx169bVrFmzPFkbAABAvrl1tdS4ceP0f//3fxowYICaN28uY4w2bNigfv366eTJkxoyZIin6wQAAHCJyycUXy0mJkajR49Wz549ndr/9a9/adSoUUX6/BxOKAYAwP/k5/vbrcNSycnJatasWY72Zs2aKTk52Z1FAgAAeIRb4ebWW2/Vp59+mqN93rx5uu222wpcFAAAgLvcOudm9OjR6tatm9auXavmzZvLZrNp/fr1WrFiRa6hBwAAwFvyNXKza9cuSdKf/vQnbd68WaVLl9YXX3yhBQsWqHTp0tqyZYsefPDBwqgTAADAJfk6oTggIEANGjTQ008/rR49eigiIqIwaysUnFAMAID/KbQTijds2KCGDRtq2LBhKl++vJ544gmtWrWqQMUCAAB4Ur7CTdOmTTVlyhSlpKRo0qRJOnbsmFq1aqVq1arpzTff1E8//VRYdQIAALjEraulwsLC1KtXL61evVo//PCDHn30UX344YeKiYlR+/btPV0jAACAy9y6id+1zp49qzlz5ugvf/mLfvvtN2VmZnqitkLBOTcAAPifQr+JX7Y1a9aoV69eKleunF5++WU99NBD2rBhQ76WMXHiRMXExCg0NFSNGjXSunXrXJpvw4YNCgoKUv369d2oHAAAWFW+w82xY8f0+uuvq1q1aoqLi9PBgwc1YcIEnThxQlOmTFGTJk1cXta8efM0ePBgjRgxQjt37lSLFi3Url07HT169LrzpaWlqWfPnoqPj89v+QAAwOLydViqdevWWrVqlcqUKaOePXvqqaee0u233+72m991111q2LChJk2a5GirWbOmunTpooSEhDzn6969u2677TYFBgbqiy++cNx/xxUclgIAwP/k5/s7X3coDgsL0/z589WxY0cFBgYWqMiLFy9q+/btGjZsmFN7mzZttHHjxjznmz59ug4ePKjZs2frjTfeuOH7ZGRkKCMjw/E8PT3d/aIBAECRl69ws2jRIo+98cmTJ5WZmamoqCin9qioKKWkpOQ6z/79+zVs2DCtW7dOQUGulZ6QkKDRo0cXuF4AAOAfCnRCsSfYbDan58aYHG2SlJmZqR49emj06NGqXr26y8sfPny40tLSHI9jx44VuGYAAFB0ufXDmZ5QunRpBQYG5hilSU1NzTGaI0lnzpzRtm3btHPnTg0YMECSlJWVJWOMgoKCtGzZMrVs2TLHfHa7XXa7vXBWAgAAFDk+G7kJCQlRo0aNlJSU5NSelJSkZs2a5Zg+PDxcu3fv1q5duxyPfv366fbbb9euXbt01113eat0AABQhPls5EaShg4dqieeeEKxsbFq2rSpPvroIx09elT9+vWTdOWQ0vHjxzVz5kwFBASodu3aTvOXLVtWoaGhOdoBAMAfl0/DTbdu3XTq1CmNGTNGycnJql27thITExUdHS1JSk5OvuE9bwAAAK7mkZ9f8Cfc5wYAAP/jtZ9fAAAAKGoINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFJ8Hm4mTpyomJgYhYaGqlGjRlq3bl2e0y5YsECtW7dWmTJlFB4erqZNm+qrr77yYrUAAKCo82m4mTdvngYPHqwRI0Zo586datGihdq1a6ejR4/mOv3atWvVunVrJSYmavv27YqLi1OnTp20c+dOL1cOAACKKpsxxvjqze+66y41bNhQkyZNcrTVrFlTXbp0UUJCgkvLuOOOO9StWze99tprLk2fnp6uiIgIpaWlKTw83K26AQCAd+Xn+9tnIzcXL17U9u3b1aZNG6f2Nm3aaOPGjS4tIysrS2fOnFFkZGSe02RkZCg9Pd3pAQAArMtn4ebkyZPKzMxUVFSUU3tUVJRSUlJcWsa7776r33//XY888kie0yQkJCgiIsLxqFy5coHqBgAARZvPTyi22WxOz40xOdpyM3fuXI0aNUrz5s1T2bJl85xu+PDhSktLczyOHTtW4JoBAEDRFeSrNy5durQCAwNzjNKkpqbmGM251rx589SnTx999tlnatWq1XWntdvtstvtBa4XAAD4B5+N3ISEhKhRo0ZKSkpyak9KSlKzZs3ynG/u3Lnq3bu3Pv74Y3Xo0KGwywQAAH7GZyM3kjR06FA98cQTio2NVdOmTfXRRx/p6NGj6tevn6Qrh5SOHz+umTNnSroSbHr27Kn33ntPTZo0cYz6hIWFKSIiwmfrAQAAig6fhptu3brp1KlTGjNmjJKTk1W7dm0lJiYqOjpakpScnOx0z5sPP/xQly9f1nPPPafnnnvO0d6rVy/NmDHD2+UDAIAiyKf3ufEF7nMDAID/8Yv73AAAABQGwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALAUwg0AALCUIF8XAAAALCIrUzqyUTr7s1QiSopuJgUEer0Mwo2nXPuBVr5LOrbZ+QOWCmcaTy7bBxthvhSRHSdfqNk7qNl7/LFuai58+xZJS1+R0k/8ry28gnT/WKlWZ6+WQrjxhNw+UFuAZLL+9zzsZkk26fxpz0/jqWX7aCN0WRHacVxGzd5Bzd7jj3VTc+Hbt0j6tKck49yennyl/ZGZXq3bZowxN57MOtLT0xUREaG0tDSFh4cXfIF5faB+yXblP17eCF2SZz9Ts0dRs3f4Y82Sf9ZNzYUvK1MaX9s5iDmxXQlmg3cXaOQpP9/fnFBcEFmZV5K1JYKN5FiPpcOurFtRcd1+pmaPoWbv8MeaJf+sm5q948jG6wQbSTJS+vEr03kJ4aYgbviB+iPvb4Q3VAR3nBuiZu+gZu/xx7qp2TvO/uzZ6TyAcFMQXvygvK4orVsR3HFuiJq9g5q9xx/rpmbvKBHl2ek8gHBTEF78oLyuKK1bEdxxboiavYOavccf66Zm74huduWcmuxzgnKwSeEV/3fVrhcQbgrihh+oP/L+RnhDRXDHuSFq9g5q9h5/rJuavSMg8MpVXJJy1v3/n9//tlcvYyfcFMR1P1B/5JuN8IaK4I5zQ9TsHdTsPf5YNzV7T63OV67iCi/v3B5ewSdXd3EpuCe4dJ+byCv/ve69aNycxlPLDq94ZacpSpcYXi3X+z5Qs8dRs3f4Y82Sf9ZNzd5TiDcezM/3N+HGU7hDsXf42x07JWr2Fmr2Hn+sm5r9HuHmOgot3AAAgELDTfwAAMAfFuEGAABYCuEGAABYCuEGAABYCuEGAABYCuEGAABYCuEGAABYCuEGAABYCuEGAABYSpCvC/C27Bsyp6en+7gSAADgquzvbVd+WOEPF27OnDkjSapcubKPKwEAAPl15swZRUREXHeaP9xvS2VlZenEiRMqWbKkbLZrf06+YNLT01W5cmUdO3aM360qRPSzd9DP3kE/ew997R2F1c/GGJ05c0YVKlRQQMD1z6r5w43cBAQEqFKlSoX6HuHh4ew4XkA/ewf97B30s/fQ195RGP18oxGbbJxQDAAALIVwAwAALIVw40F2u10jR46U3W73dSmWRj97B/3sHfSz99DX3lEU+vkPd0IxAACwNkZuAACApRBuAACApRBuAACApRBuAACApRBuPGTixImKiYlRaGioGjVqpHXr1vm6JL+WkJCgO++8UyVLllTZsmXVpUsXff/9907TGGM0atQoVahQQWFhYbrvvvu0d+9eH1VsDQkJCbLZbBo8eLCjjX72nOPHj+vxxx9XqVKlVKxYMdWvX1/bt293vE5fF9zly5f16quvKiYmRmFhYapatarGjBmjrKwsxzT0c/6tXbtWnTp1UoUKFWSz2fTFF184ve5Kn2ZkZOj5559X6dKlVbx4cXXu3Fk//fRT4RRsUGCffPKJCQ4ONlOmTDH79u0zgwYNMsWLFzdHjhzxdWl+q23btmb69Olmz549ZteuXaZDhw7mlltuMWfPnnVM8/bbb5uSJUua+fPnm927d5tu3bqZ8uXLm/T0dB9W7r+2bNliqlSpYurWrWsGDRrkaKefPeP06dMmOjra9O7d22zevNkcOnTILF++3Bw4cMAxDX1dcG+88YYpVaqUWbJkiTl06JD57LPPTIkSJcz48eMd09DP+ZeYmGhGjBhh5s+fbySZhQsXOr3uSp/269fPVKxY0SQlJZkdO3aYuLg4U69ePXP58mWP10u48YDGjRubfv36ObXVqFHDDBs2zEcVWU9qaqqRZNasWWOMMSYrK8uUK1fOvP32245pLly4YCIiIszkyZN9VabfOnPmjLnttttMUlKSuffeex3hhn72nFdeecXcfffdeb5OX3tGhw4dzFNPPeXU9tBDD5nHH3/cGEM/e8K14caVPv3tt99McHCw+eSTTxzTHD9+3AQEBJilS5d6vEYOSxXQxYsXtX37drVp08apvU2bNtq4caOPqrKetLQ0SVJkZKQk6dChQ0pJSXHqd7vdrnvvvZd+d8Nzzz2nDh06qFWrVk7t9LPnLFq0SLGxseratavKli2rBg0aaMqUKY7X6WvPuPvuu7VixQr98MMPkqRvvvlG69evV/v27SXRz4XBlT7dvn27Ll265DRNhQoVVLt27ULp9z/cD2d62smTJ5WZmamoqCin9qioKKWkpPioKmsxxmjo0KG6++67Vbt2bUly9G1u/X7kyBGv1+jPPvnkE+3YsUNbt27N8Rr97Dk//vijJk2apKFDh+ovf/mLtmzZooEDB8put6tnz570tYe88sorSktLU40aNRQYGKjMzEy9+eabevTRRyWxTRcGV/o0JSVFISEhuvnmm3NMUxjflYQbD7HZbE7PjTE52uCeAQMG6Ntvv9X69etzvEa/F8yxY8c0aNAgLVu2TKGhoXlORz8XXFZWlmJjY/XWW29Jkho0aKC9e/dq0qRJ6tmzp2M6+rpg5s2bp9mzZ+vjjz/WHXfcoV27dmnw4MGqUKGCevXq5ZiOfvY8d/q0sPqdw1IFVLp0aQUGBuZInqmpqTlSLPLv+eef16JFi7Rq1SpVqlTJ0V6uXDlJot8LaPv27UpNTVWjRo0UFBSkoKAgrVmzRv/4xz8UFBTk6Ev6ueDKly+vWrVqObXVrFlTR48elcQ27SkvvfSShg0bpu7du6tOnTp64oknNGTIECUkJEiinwuDK31arlw5Xbx4Ub/++mue03gS4aaAQkJC1KhRIyUlJTm1JyUlqVmzZj6qyv8ZYzRgwAAtWLBAK1euVExMjNPrMTExKleunFO/X7x4UWvWrKHf8yE+Pl67d+/Wrl27HI/Y2Fg99thj2rVrl6pWrUo/e0jz5s1z3M7ghx9+UHR0tCS2aU85d+6cAgKcv9oCAwMdl4LTz57nSp82atRIwcHBTtMkJydrz549hdPvHj9F+Q8o+1LwqVOnmn379pnBgweb4sWLm8OHD/u6NL/Vv39/ExERYVavXm2Sk5Mdj3Pnzjmmefvtt01ERIRZsGCB2b17t3n00Ue5nNMDrr5ayhj62VO2bNligoKCzJtvvmn2799v5syZY4oVK2Zmz57tmIa+LrhevXqZihUrOi4FX7BggSldurR5+eWXHdPQz/l35swZs3PnTrNz504jyYwbN87s3LnTccsTV/q0X79+plKlSmb58uVmx44dpmXLllwKXtR98MEHJjo62oSEhJiGDRs6LlmGeyTl+pg+fbpjmqysLDNy5EhTrlw5Y7fbzT333GN2797tu6It4tpwQz97zuLFi03t2rWN3W43NWrUMB999JHT6/R1waWnp5tBgwaZW265xYSGhpqqVauaESNGmIyMDMc09HP+rVq1Kte/yb169TLGuNan58+fNwMGDDCRkZEmLCzMdOzY0Rw9erRQ6rUZY4znx4MAAAB8g3NuAACApRBuAACApRBuAACApRBuAACApRBuAACApRBuAACApRBuAACApRBuAACApRBuAFjGqVOnVLZsWR0+fDhf873//vvq3Llz4RQFwOsINwCKFJvNdt1H796985w3ISFBnTp1UpUqVZza58+fr/vuu08REREqUaKE6tatqzFjxuj06dOSpL59+2rr1q1av359Ia4ZAG8h3AAoUpKTkx2P8ePHKzw83Kntvffey3W+8+fPa+rUqXr66aed2keMGKFu3brpzjvv1Jdffqk9e/bo3Xff1TfffKNZs2ZJkux2u3r06KEJEyYU+voBKHxBvi4AAK5Wrlw5x/9HRETIZrM5teXlyy+/VFBQkJo2bepo27Jli9566y2NHz9egwYNcrRXqVJFrVu31m+//eZo69y5s9q0aaPz588rLCzMMysDwCcYuQFgCWvXrlVsbKxT25w5c1SiRAk9++yzuc5z0003Of4/NjZWly5d0pYtWwqzTABeQLgBYAmHDx9WhQoVnNr279+vqlWrKjg4+IbzFy9eXDfddFO+T0YGUPQQbgBYwvnz5xUaGurUZoyRzWZzeRlhYWE6d+6cp0sD4GWEGwCWULp0af36669ObdWrV9fBgwd16dIll5Zx+vRplSlTpjDKA+BFhBsAltCgQQPt27fPqa1Hjx46e/asJk6cmOs8V59QfPDgQV24cEENGjQozDIBeAHhBoAltG3bVnv37nUavbnrrrv08ssv64UXXtDLL7+sTZs26ciRI1qxYoW6du2qf/3rX45p161bp6pVq6patWq+KB+ABxFuAFhCnTp1FBsbq08//dSpfezYsfr444+1efNmtW3bVnfccYeGDh2qunXrqlevXo7p5s6dq759+3q7bACFwGaMMb4uAgA8ITExUS+++KL27NmjgADX/+22Z88excfH64cfflBEREQhVgjAG7iJHwDLaN++vfbv36/jx4+rcuXKLs934sQJzZw5k2ADWAQjNwAAwFI45wYAAFgK4QYAAFgK4QYAAFgK4QYAAFgK4QYAAFgK4QYAAFgK4QYAAFgK4QYAAFgK4QYAAFjK/wM8oAJhoJa13QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the data\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(T, Vh2o, 'o')\n",
    "ax.plot(T, Vhg, 'o')\n",
    "plt.xlabel('T (C)')\n",
    "plt.ylabel('Volume (cm^3)')\n",
    "plt.title('Volume of water and mercury with temperature')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69e5cfeb",
   "metadata": {},
   "source": [
    "On a single plot, the specific volumes of water and mercury are too different from each another. Let's plot them separately."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "807e8ac4",
   "metadata": {},
   "source": [
    "## Plot 1: Water specifc volume with temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c24d3d45",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Volume of water with temperature')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(T, Vh2o, 'o')\n",
    "plt.xlabel('T (C)')\n",
    "plt.ylabel('Volume (cm^3)')\n",
    "plt.title('Volume of water with temperature')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a48234c",
   "metadata": {},
   "source": [
    "## Plot  2: Mercury specific volume with temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a4577546",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Volume of mercury with temperature')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(T, Vhg, 'o')\n",
    "plt.xlabel('T (C)')\n",
    "plt.ylabel('Volume (cm^3)')\n",
    "plt.title('Volume of mercury with temperature')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dda12290",
   "metadata": {},
   "source": [
    "### End of Notebook Example\n",
    "emf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6511caab",
   "metadata": {},
   "source": [
    "Still... I wonder what the ratio looks like? It's easy to plot in Jupyter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bcc4e041",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Ratio of water and mercury specific volumes')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(T, Vh2o/Vhg, 'o')\n",
    "plt.xlabel('T (C)')\n",
    "plt.ylabel(\"V_{H_2O}/V_{Hg}\")\n",
    "plt.title('Ratio of water and mercury specific volumes')"
   ]
  }
 ],
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