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Ölheizung vs. Wärmepumpe

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.

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 -

Exercise

https://texercises.com/exercise/olheizung-vs-warmepumpe/

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Exercise:
In einem Niedrigenergiehaus würde mit einer Ölheizung pro Heizperiode kg Öl verbrannt. Eine moderne Ölheizung erreicht einen Wirkungsgrad von %. enumerate item Wie viel elektrische Energie in kWh werden bei der eingebauten Wärmepumpenheizung mittlere Leistungsziffer: . anstelle des Öls gebraucht? item Wie viele Liter Grundwasser werden dazu währ der Heizperiode um K abgekühlt? Falls Sie unter a kein Resultat erhalten haben rechnen Sie mit WsikWh enumerate

Solution:
Geg.: m_textÖlsikg eta. epsilon. Delta TsiK H_textÖl. ^siJ/kg c_mathrmH_OsiJ/kgK enumerate item Ges.: W_mathrmel Es gilt: epsilonfracQ_mathrmwWRa WfracQ_mathrmwepsilon Die ans Haus abgegebene Wärme Q_mathrmw kann für beide Heizarten gleich gross angenommen werden. Also können wir schreiben: etafracQ_mathrmWQ_textÖlRa Q_mathrmweta Q_textÖl Mit Heizwert und Masse des Öls erhalten wir: Q_mathrmwetaH_textÖlm_textÖl. ^siJ Damit ergibt sich: WfracQ_mathrmwepsilon. ^sikWhreskWh item Es gilt: Q_mathrmkc_mathrmH_OmDelta T Mit epsilonfracQ_mathrmwWfracQ_mathrmk+WW+fracQ_mathrmkWRa Q_mathrmkepsilon-W erhalten wir: c_mathrmH_Om_textÖlDelta Tepsilon-WRa mfracepsilon-Wc_mathrmH_ODelta Tres. ^kgwidehatresLiter Mit kWh: res. ^kgwidehatresLiter enumerate

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Tags	wirkungsgrad, wärmekraftmaschinen, wärmepumpe
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Difficulty	(3, default)
Points	0 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	rb
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