Von Wärmepumpe transportierte Wärme
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
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Zeit \(t\) / Temperatur \(T\) / Arbeit \(W\) / Energie \(E\) / Leistung \(P, \Phi\) / Wärme \(Q\) / Leistungszahl \(\epsilon\) /
The following formulas must be used to solve the exercise:
\(\varepsilon = \dfrac{T_H}{T_H-T_L} \quad \) \(P = \dfrac{E}{t} = \dfrac{W}{t} = \dfrac{Q}{t} \quad \) \(\epsilon = \frac{Q_H}{W} \quad \)
No explanation / solution video for this exercise has yet been created.
But there is a video to a similar exercise:
In case your browser prevents YouTube embedding: https://youtu.be/T3K6oM3yjMY
But there is a video to a similar exercise:
Exercise:
Eine ideale Wärmepumpe bringt bei einer Aussentemperatur von tkO Wärme in ein auf twO beheiztes Haus. Sie bezieht dabei eine elektrische Leistung von PO und läuft währ tO. Wie viel Wärmeenergie wird in dieser Zeit ins Haus transportiert?
Solution:
Geg theta_k tkO to T_L Tk theta_w twO to T_H Tw P PO P t tO t GesWärmeenergieQ_ksiJ Die maximal mögliche Leistungszahl dieser Wärmepumpe beträgt epsilon fracT_HT_H-T_L fracTwTw-Tk e. Die Wärmepumpe hat also sscPw epsilon P fracT_HT_H-T_L P e P Pw Heizleistung und befördert währ tO folglich sscQw t sscPw fracT_HT_H-T_L t P t Pw Qw approx QwS QwP Wärmeenergie in das Haus. sscQw fractPT_HT_H-T_L QwS QwP
Eine ideale Wärmepumpe bringt bei einer Aussentemperatur von tkO Wärme in ein auf twO beheiztes Haus. Sie bezieht dabei eine elektrische Leistung von PO und läuft währ tO. Wie viel Wärmeenergie wird in dieser Zeit ins Haus transportiert?
Solution:
Geg theta_k tkO to T_L Tk theta_w twO to T_H Tw P PO P t tO t GesWärmeenergieQ_ksiJ Die maximal mögliche Leistungszahl dieser Wärmepumpe beträgt epsilon fracT_HT_H-T_L fracTwTw-Tk e. Die Wärmepumpe hat also sscPw epsilon P fracT_HT_H-T_L P e P Pw Heizleistung und befördert währ tO folglich sscQw t sscPw fracT_HT_H-T_L t P t Pw Qw approx QwS QwP Wärmeenergie in das Haus. sscQw fractPT_HT_H-T_L QwS QwP
Meta Information
Exercise:
Eine ideale Wärmepumpe bringt bei einer Aussentemperatur von tkO Wärme in ein auf twO beheiztes Haus. Sie bezieht dabei eine elektrische Leistung von PO und läuft währ tO. Wie viel Wärmeenergie wird in dieser Zeit ins Haus transportiert?
Solution:
Geg theta_k tkO to T_L Tk theta_w twO to T_H Tw P PO P t tO t GesWärmeenergieQ_ksiJ Die maximal mögliche Leistungszahl dieser Wärmepumpe beträgt epsilon fracT_HT_H-T_L fracTwTw-Tk e. Die Wärmepumpe hat also sscPw epsilon P fracT_HT_H-T_L P e P Pw Heizleistung und befördert währ tO folglich sscQw t sscPw fracT_HT_H-T_L t P t Pw Qw approx QwS QwP Wärmeenergie in das Haus. sscQw fractPT_HT_H-T_L QwS QwP
Eine ideale Wärmepumpe bringt bei einer Aussentemperatur von tkO Wärme in ein auf twO beheiztes Haus. Sie bezieht dabei eine elektrische Leistung von PO und läuft währ tO. Wie viel Wärmeenergie wird in dieser Zeit ins Haus transportiert?
Solution:
Geg theta_k tkO to T_L Tk theta_w twO to T_H Tw P PO P t tO t GesWärmeenergieQ_ksiJ Die maximal mögliche Leistungszahl dieser Wärmepumpe beträgt epsilon fracT_HT_H-T_L fracTwTw-Tk e. Die Wärmepumpe hat also sscPw epsilon P fracT_HT_H-T_L P e P Pw Heizleistung und befördert währ tO folglich sscQw t sscPw fracT_HT_H-T_L t P t Pw Qw approx QwS QwP Wärmeenergie in das Haus. sscQw fractPT_HT_H-T_L QwS QwP
Contained in these collections:
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Leistung von idealer Wärmepumpe by TeXercises
Asked Quantity:
Wärme \(Q\)
in
Joule \(\rm J\)
Physical Quantity
Wärme \(Q\)
schlechteste Speicherform von Arbeit
ausgetauschte Energie bei Temperaturveränderung
ausgetauschte Energie bei Phasenübergang
Unit
Joule (\(\rm J\))
Base?
SI?
Metric?
Coherent?
Imperial?
\(\rm1\,J\): Herzschlag
\(\rm1\,J\): Schokolade einen Meter anheben

