In class, we divided the PDM variables $U$, $x_L$, $F_L$, $x_R$, and $F_R$, and the thermodynamic variables $T$, $U$, $V$, $p$, into categories of *intensive* and *extensive*. Consider a one-dimensional object such as a stretched rubber band. Categorize as intensive or extensive its properties of length, tension, mass and internal energy.

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## Homework for Energy and Entropy

- (mbIntensiveExtensive)
*Categorize extensive and intensive variables for a 1-D system* - (mbTranslateContours)
*Translate from one contour diagram to another.*Consider the diagram of $T$ vs $V$ for several different constant values of $p$.

\begin{figure}[ht] \begin{center} \includegraphics[height=.85\textwidth,angle=270]{\TOP Figures/TV}\\ \end{center} \end{figure}

Translate this diagram to a $p$ vs $V$ w/ constant $T$ graph, including the point $A$. Please print out the provided frame and complete your graph by hand.

\begin{figure}[ht] \begin{center} \includegraphics[height=.85\textwidth,angle=270]{\TOP Figures/PV}\\ \end{center} \end{figure}

Are the lines that you drew straight or curved? What feature of the $T$ vs. $V$ graph would have to change to change this result?

Sketch the line of constant temperature that passes through the point $A$.

What are all the thermodynamic values associated with the point A? More generally, what does this (or any other) point represent?