Consider the following derivative: \begin{align} \left(\frac{\partial {V}}{\partial {S}}\right)_{T} \end{align} Design an experiment to measure this derivative. In your answer, include a schematic of the aperatus and label the quantitites you would measure. Describe your measurement process, and show the algebra required to convert your directly measured quantities into the derivative.

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.

• Partial derivatives
• Physical representation
• Thermodynamic variables
• Practicing changing certain variables while holding others constant

• how to distinguish the two different uses of the word “linear” in a linear charge density that varies linearly;
• some of the words for describing functional variation: linear, quadratic, exponential, falls off like ..., proportional to the square, etc.
• how to “name the thing you don't know” with an algebraic symbol so that it can appear in an equation.

Students consider the relation (1) between the angular momentum and magnetic moment for a current loop and (2) the force on a magnetic moment in an inhomogeneous magnetic field. Students make a (classical) prediction of the outcome of a Stern-Gerlach experiment.