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Dec 10, 2020 at 22:36 comment added dp21 However it may look different, but it is also conceivable that it looks qualitatively similar. If the latter one would be the case then the answer to my question would be yes, that one could interpret the axis to the right as time axis in a qualitative representation and the pictures cited in my edit are notwrong, just a reasonable and justified simplification (e.g. for high school students).
Dec 10, 2020 at 22:34 comment added dp21 So as an analogy: If you consider a mechanical spring, you have a linear $F(x)$ Diagram (force in dependence of the position). In this analogy $F$ corresponds to the potential Energy and $x$ to the reaction coordinate. Now if you consider $x$ in dependence of the time (determined by the dynamics), you get a sinusoidal solution and the graph of $F(x(t))$ would also look sinusoidal and not linear anymore. So transferring the analogy back, one may say that indeed you may parametrize the reaction coordinate by time, but the diagram my look much different than the examples above?
Dec 10, 2020 at 17:55 comment added pglpm As some answers below explain, there's no a priori relation between time and a reaction coordinate (just like there isn't one between time and a usual position coordinate). If you can, I recommend grabbing a copy of Astarita's Thermodynamics: An Advanced Textbook for Chemical Engineers (Springer 1998). It's simply great in explaining all these concepts.
Dec 10, 2020 at 17:48 answer added ChemEng timeline score: 0
Dec 10, 2020 at 8:10 history edited dp21 CC BY-SA 4.0
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Dec 9, 2020 at 22:22 answer added Gert timeline score: 1
Dec 9, 2020 at 22:11 history asked dp21 CC BY-SA 4.0