Student handout: Partial Derivatives from a Contour Map--Thermo Version
None 2023
Students calculate two different (thermodynamic) partial derivatives of the form \(\left(\frac{\partial A}{\partial B}\right)_C\) from information given on the same contour map.
- group Small Group Activity 30 min. Student handout (PDF)
What students learn
They must recognize that
- they have to calculate the derivative as a ratio of small changes
- they must identify the numerator and denominator variables on the graph.
- they must pick two points that lie along a curve with \(C=\)constant.
Find the following derivatives \begin{equation} \left(\frac{\partial p}{\partial T}\right)_S\qquad\qquad\qquad \left(\frac{\partial p}{\partial V}\right)_T \end{equation} from the contour map below
- Keywords
- Learning Outcomes
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