Einfacher Kreisprozess
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
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\(\LaTeX\)
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Exercise:
Ein Kreisprozess besteht aus einer isobaren Expansion einer ischoren Abkühlung und einer isothermen Kompression. Das Gas erreicht am Schluss wieder seinen Anfangszustand. enumerate item Zeichnen Sie qualitativ das p-V-Diagramm dieses Prozesses inkl. der Pfeile für die Richtung in der der Prozess verläuft. item In welchem der drei Prozesse wird betragsmässig am meisten in welchem am wenigsten Arbeit verrichtet? Kurze Begründung. item Wo im Diagramm kann man die im Kreisprozess verrichtete Arbeit erkennen? Zeichnen Sie diese ein. enumerate
Solution:
enumerate item Das Diagramm sieht wie folgt aus: figureH centering tikzpicturelatex%line caproundline joinroundtriangle x.cmy.cm %draw step.colorgray! -- grid ; %fill circle .; fill colorOrange! plot smoothsamplesdomain.: x./x-- ; node colorRed at ..boldmathW; draw colorgray!dotted xstep.cmystep.cm -.-. grid ..; draw- -. -- noderightyshift-.cmV; foreach x in drawshiftxcolorblack ptpt -- pt-pt; draw- -. -- nodeabove p; foreach y in drawshiftycolorblack ptpt -- -ptpt; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratedomain.: colorRed plotx./x; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed .--; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed --.; fill . circle pt nodeleftscriptsize A; fill circle pt noderightscriptsize B; fill . circle pt noderightscriptsize C; tikzpicture figure item Am meisten Arbeit: Im isobaren Prozess da die Fläche unter der Kurve die grösste ist. Am wenigsten Arbeit im isochoren Prozess keine Arbeit da das Volumen konstant bleibt als W-pDelta V ist. item Die von den Kurven eingeschlossene Fläche s. Skizze in a enumerate
Ein Kreisprozess besteht aus einer isobaren Expansion einer ischoren Abkühlung und einer isothermen Kompression. Das Gas erreicht am Schluss wieder seinen Anfangszustand. enumerate item Zeichnen Sie qualitativ das p-V-Diagramm dieses Prozesses inkl. der Pfeile für die Richtung in der der Prozess verläuft. item In welchem der drei Prozesse wird betragsmässig am meisten in welchem am wenigsten Arbeit verrichtet? Kurze Begründung. item Wo im Diagramm kann man die im Kreisprozess verrichtete Arbeit erkennen? Zeichnen Sie diese ein. enumerate
Solution:
enumerate item Das Diagramm sieht wie folgt aus: figureH centering tikzpicturelatex%line caproundline joinroundtriangle x.cmy.cm %draw step.colorgray! -- grid ; %fill circle .; fill colorOrange! plot smoothsamplesdomain.: x./x-- ; node colorRed at ..boldmathW; draw colorgray!dotted xstep.cmystep.cm -.-. grid ..; draw- -. -- noderightyshift-.cmV; foreach x in drawshiftxcolorblack ptpt -- pt-pt; draw- -. -- nodeabove p; foreach y in drawshiftycolorblack ptpt -- -ptpt; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratedomain.: colorRed plotx./x; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed .--; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed --.; fill . circle pt nodeleftscriptsize A; fill circle pt noderightscriptsize B; fill . circle pt noderightscriptsize C; tikzpicture figure item Am meisten Arbeit: Im isobaren Prozess da die Fläche unter der Kurve die grösste ist. Am wenigsten Arbeit im isochoren Prozess keine Arbeit da das Volumen konstant bleibt als W-pDelta V ist. item Die von den Kurven eingeschlossene Fläche s. Skizze in a enumerate
Meta Information
Exercise:
Ein Kreisprozess besteht aus einer isobaren Expansion einer ischoren Abkühlung und einer isothermen Kompression. Das Gas erreicht am Schluss wieder seinen Anfangszustand. enumerate item Zeichnen Sie qualitativ das p-V-Diagramm dieses Prozesses inkl. der Pfeile für die Richtung in der der Prozess verläuft. item In welchem der drei Prozesse wird betragsmässig am meisten in welchem am wenigsten Arbeit verrichtet? Kurze Begründung. item Wo im Diagramm kann man die im Kreisprozess verrichtete Arbeit erkennen? Zeichnen Sie diese ein. enumerate
Solution:
enumerate item Das Diagramm sieht wie folgt aus: figureH centering tikzpicturelatex%line caproundline joinroundtriangle x.cmy.cm %draw step.colorgray! -- grid ; %fill circle .; fill colorOrange! plot smoothsamplesdomain.: x./x-- ; node colorRed at ..boldmathW; draw colorgray!dotted xstep.cmystep.cm -.-. grid ..; draw- -. -- noderightyshift-.cmV; foreach x in drawshiftxcolorblack ptpt -- pt-pt; draw- -. -- nodeabove p; foreach y in drawshiftycolorblack ptpt -- -ptpt; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratedomain.: colorRed plotx./x; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed .--; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed --.; fill . circle pt nodeleftscriptsize A; fill circle pt noderightscriptsize B; fill . circle pt noderightscriptsize C; tikzpicture figure item Am meisten Arbeit: Im isobaren Prozess da die Fläche unter der Kurve die grösste ist. Am wenigsten Arbeit im isochoren Prozess keine Arbeit da das Volumen konstant bleibt als W-pDelta V ist. item Die von den Kurven eingeschlossene Fläche s. Skizze in a enumerate
Ein Kreisprozess besteht aus einer isobaren Expansion einer ischoren Abkühlung und einer isothermen Kompression. Das Gas erreicht am Schluss wieder seinen Anfangszustand. enumerate item Zeichnen Sie qualitativ das p-V-Diagramm dieses Prozesses inkl. der Pfeile für die Richtung in der der Prozess verläuft. item In welchem der drei Prozesse wird betragsmässig am meisten in welchem am wenigsten Arbeit verrichtet? Kurze Begründung. item Wo im Diagramm kann man die im Kreisprozess verrichtete Arbeit erkennen? Zeichnen Sie diese ein. enumerate
Solution:
enumerate item Das Diagramm sieht wie folgt aus: figureH centering tikzpicturelatex%line caproundline joinroundtriangle x.cmy.cm %draw step.colorgray! -- grid ; %fill circle .; fill colorOrange! plot smoothsamplesdomain.: x./x-- ; node colorRed at ..boldmathW; draw colorgray!dotted xstep.cmystep.cm -.-. grid ..; draw- -. -- noderightyshift-.cmV; foreach x in drawshiftxcolorblack ptpt -- pt-pt; draw- -. -- nodeabove p; foreach y in drawshiftycolorblack ptpt -- -ptpt; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratedomain.: colorRed plotx./x; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed .--; drawdecorationmarkingsmarkat position . with arrowredpostactiondecoratecolorRed --.; fill . circle pt nodeleftscriptsize A; fill circle pt noderightscriptsize B; fill . circle pt noderightscriptsize C; tikzpicture figure item Am meisten Arbeit: Im isobaren Prozess da die Fläche unter der Kurve die grösste ist. Am wenigsten Arbeit im isochoren Prozess keine Arbeit da das Volumen konstant bleibt als W-pDelta V ist. item Die von den Kurven eingeschlossene Fläche s. Skizze in a enumerate
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