Student handout: Name the experiment

Energy and Entropy 2020
Student groups design an experiment that measures an assigned partial derivative. In a compare-and-contrast wrap-up, groups report on how they would measure their derivatives.
What students learn
  • Partial derivatives
  • Physical representation
  • Thermodynamic variables
  • Practicing changing certain variables while holding others constant

Your group will be given one of the following partial derivatives: \begin{align} a)\quad\left(\frac{\partial {V}}{\partial {p}}\right)_{T}\quad b)\quad\left(\frac{\partial {U}}{\partial {p}}\right)_{S}\quad c)\quad\left(\frac{\partial {T}}{\partial {V}}\right)_{S}\quad d)\quad\left(\frac{\partial {V}}{\partial {T}}\right)_{p}\quad e)\quad\left(\frac{\partial {U}}{\partial {T}}\right)_{V}\\ f)\quad\left(\frac{\partial {p}}{\partial {V}}\right)_{T}\quad g)\quad\left(\frac{\partial {V}}{\partial {T}}\right)_{S}\quad h)\quad\left(\frac{\partial {T}}{\partial {V}}\right)_{p}\quad i)\quad\left(\frac{\partial {T}}{\partial {U}}\right)_{V}\quad j)\quad\left(\frac{\partial {V}}{\partial {p}}\right)_{S} \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.

partial derivatives experiment thermodynamics
Learning Outcomes