Students are placed into small groups and asked to create an experimental setup they can use to measure the partial derivative they are given, in which entropy changes.
Little introduction is necessary for this activity; however, the first Name the experiment activity should be performed before entering this Name the Experiment activity. Be sure to state to the groups that they must measure the partial derivatives they are given for a rubber band, providing both a description and a picture of their experiment.
Your group will be given one of the following partial derivatives: \begin{align} a)\quad\left(\frac{\partial {S}}{\partial {T}}\right)_{V}\quad b)\quad\left(\frac{\partial {T}}{\partial {S}}\right)_{p}\quad c)\quad\left(\frac{\partial {S}}{\partial {V}}\right)_{T}\quad d)\quad\left(\frac{\partial {p}}{\partial {S}}\right)_{V}\quad e)\quad\left(\frac{\partial {S}}{\partial {p}}\right)_{T}\\ f)\quad\left(\frac{\partial {p}}{\partial {S}}\right)_{T}\quad g)\quad\left(\frac{\partial {T}}{\partial {S}}\right)_{V}\quad h)\quad\left(\frac{\partial {V}}{\partial {S}}\right)_{T}\quad i)\quad\left(\frac{\partial {V}}{\partial {S}}\right)_{p}\quad j)\quad\left(\frac{\partial {S}}{\partial {T}}\right)_{p} \end{align} In your group, design an experiment to measure this derivative. Draw a sketch of the apparatus and describe how to convert directly measured data into a numerical value for the derivative.
If you finish with your derivative, you can try designing an experiment for the next derivative in the list.
For this activity we have just four partial derivatives:
If a group finishes their experiment early, have them create an experiment for a more challenging partial derivative.