\n", "\n", "(The acceleration due to gravity is $g = GM/R^2$ where $G$ is the gravitational constant, $6.67 \\cdot 10^{-11}\\,\\mathrm{ N\\, m^2\\, kg^{-2}}$, $M$ is the mass, and $R$ the radius. You will need to look these up.)\n", "\n", "**Strategy:** (a) and (b) use the formula developed in the previous question for the fraction of molecules having a speed greater than a given value. (c) Use the Boltzmann distribution to calculate the fraction of atoms and molecules at a given height. The potential energy of a mass $m$ is $mgh$ at altitude $h,\\, g$ being the acceleration due to gravity." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 2 }