Homework for Energy and Entropy

  1. (mbIntensiveExtensive) Categorize extensive and intensive variables for a 1-D system

    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.

  2. (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}

    1. 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}

    2. 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?

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

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

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