\documentclass[10pt]{article} \pagestyle{empty} \parindent=0pt \parskip=.1in \newcommand\hs{\hspace{6pt}} \begin{document} \centerline{\textbf{Work in Thermodynamic Systems}} \bigskip What \textbf{work} is can depend on the system you are looking at. \begin{itemize} \item For a 3-D thing, $-pdV$ \item For a 2-D thing, $\sigma dA$ \item For a 1-D thing, $\tau dL$ \item For a dielectric material, $-\vec{E}\cdot d\vec{P}$, for a paramagnet $-\vec{B}\cdot d\vec{M}$ etc... \end{itemize} \medskip With this in mind, determine if in the following scenarios work is either done \emph{by} or \emph{on} the system (i.e. does the system lose or gain energy by working?). \begin{enumerate} \item A gas in a piston that is being compressed. \textit{Does it matter if it's a liquid instead?} \item A balloon in a box (of vacuum) that is popped. \textit{What if the air is the system? What if the balloon \& the air together form the system?} \item A gas in a piston that is expanded. \item Ice in a piston that is being compressed. \item A rubber band that is being stretched. \item A soap bubble that is being blown. \item A piece of iron that is being magnetized. \item A rubber band that is snapped shut in a vacuum. \end{enumerate} \vfill \leftline{\textit{by David Roundy}} \leftline{\copyright DATE David Roundy} \end{document}