Schreinemakers Analysis - Problem #2: Analysis of an Invariant Point with Application of the Clausius-Clapeyron Equation (An-Gr-CaTs-Ky-Qz)

Dexter Perkins

University of North Dakota

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Initial Publication Date: January 21, 2008 | Reviewed: October 18, 2012 (see revision history: 2 events)

Summary

This is a standard Schreinemakers problem: identifying the sequence of stable and metastable reactions around an invariant point. The added wrinkle is that they use the Clausius-Clapeyron Equation to calculate slopes and thus get reactions oriented correctly.

Thermodynamics and Phase Equilibria, PTt Relationships | College Lower (13-14), College Upper (15-16)

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Context

Audience

I use this in my Petrology class as either an in-class exercise or as homework. It is NOT simple for some students and, so, may be best done in a group.

Skills and concepts that students must have mastered

They need to know the basic Schreinemakers process and logic. And, they must know what the Clausius-Clapeyron Equation is and how to calculate reaction slopes.

How the activity is situated in the course

My petrology class is a studio class and so group activities and in-class work are key. This is one of many exercises the students do during the semester.

Goals

Content/concepts goals for this activity

The goal is to get them to (1) be able to do a Schreinemakers analysis, and (2) understand the significance of invariant points and stable/metastable equilibria, (3) be able to use the Clausius-Clapeyron Equation and explain its value.

Mthematical accuracy is important too.

Higher order thinking skills goals for this activity

Thinking, logic, reasoning, and deduction are involved. -- this problem sometimes stumps students who are looking for a cookbook approach.

Other skills goals for this activity

Description of the activity/assignment

Determining whether students have met the goals

There is only one possible correct solution so evaluating results is straightforward.

More information about assessment tools and techniques.

Teaching materials and tips

Activity Description/Assignment (Microsoft Word 12kB Aug4 07)