IdealGasLaw 2006-05-27 14:17:43 2006-06-27 10:32:40 Topic % this is the default PlanetPhysics preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here The equation that characterizes any amount of a gas is $$pV = nRT,$$ where $p$ is the pressure, $V$ the volume, $n$ the number of the gas moles and $T$ the absolute temperature of the gas; $R$ the universal gas constant (approximately 8,314472 $\frac{\mbox{Pa}\cdot\mbox{m}^3}{\mbox{mol}\cdot\mbox{K}}$). The gas law is accurately valid for an ideal gas, but a good approximation for real gases. The law contains the following gas laws: \begin{itemize} \item Boyle--Mariotte law ($pV =$\, constant when $n$ and $T$ are constants) \item Gay--Lussac law ($\frac{V}{T} =$\, constant when $n$ and $p$ are constants) \item Avogadro's law (in equal conditions, equal volumes of different gases contain the same number of molecules) \end{itemize}