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Leistung eines Gefrierschrankes

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/leistung-eines-gefrierschrankes-1/

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The following quantities appear in the problem: Zeit \(t\) / Masse \(m\) / Temperatur \(T\) / Arbeit \(W\) / Energie \(E\) / Leistung \(P\) / Wärme \(Q\) / spezifische latente Wärme \(L\) / Wärmekapazität \(c\) / Leistungszahl \(\epsilon\) /

The following formulas must be used to solve the exercise: \(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(Q = m \cdot L_{\scriptscriptstyle\rm f} \quad \) \(P = \dfrac{E}{t} = \dfrac{W}{t} \quad \) \(\epsilon = \frac{Q_L}{W} \quad \)

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Exercise:
Es werden .kg Wasser bei anfänglich degreeCelsius in einen Gefrierschrank gestellt wo dieses Wasser zu Eis gefriert. Der Gefrierschrank mit einer Leistungszahl von . zieht dazu eine Leistung von W aus dem elektrischen Netz. Berechne die Temperatur des Eises nach min. Wasser hat eine spezifische Wärmekapazität von jouleperkilogramperkelvin Eis eine solche von jouleperkilogramperkelvin und die spezifische Schmelzwärme von Eis beträgt .ejouleperkilogram.

Solution:
Insgesamt zieht der Gefrierschrank währ den min über die Steckdose eine elektrische Energie von W Pt W s .eJ aus dem elektrischen Netz. Mit dieser Energie kann der Gefrierschrank Q_L epsilon W epsilon Pt . .eJ .eJ Wàrme-energie aus seinem Innern heraus befördern und damit das Wasser zu Eis gefrieren. Das Gefrieren läuft dabei in drei Prozessen ab: Zuerst wird das Wasser abgekühlt dann zu Eis gefroren und dann wird das Eis noch abgekühlt. Die Temepraturdifferenz um die das Eis abgekühlt werden muss gehorcht folger Gleichung: Q_L cmDeltatheta_ + mL_f + c_emDeltatheta Deltatheta fracQ_L-cmDeltatheta_- mL_fc_em fracepsilon Pt-cmDeltatheta_- mL_fc_em fracepsilon fracPtm-cDeltatheta_- L_fc_e .degreeCelsius Somit hat das Eis folge Endtemperatur: theta_e theta_ - Deltatheta degreeCelsius- .degreeCelsius -.degreeCelsius T_e .K

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Leistung eines Kühlschrankes by TeXercises

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Tags	eis, eisfach, gefrieren, kältemaschine, kühlschrank, physik, thermodynamik, wärmelehre
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Difficulty	(3, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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