Butter schmelzen
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
\(\LaTeX\)
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Exercise:
mbO Butter aus dem Kühlschrank TbO soll im Wasserbad mwO vollständig geschmolzen werden. Welche Anfangstemperatur muss das Wasser haben? Butter: spezifische Wärmekapazität cbO spezifische Schmelzwärme LbO Schmelztemperatur TfbO
Solution:
Geg m_B mb vartheta_B TbO m_W mw c_B cb L_f Lb vartheta^* sscthetafB TfbO c_W cWa textbfVariante - Zuerst wird die Wärmebilanz aufgestellt wobei das positive Vorzeichen bei der latenten Wärme des Bleis zu beachten ist Schmelzen: m_W c_W vartheta^* - vartheta_W + m_B L_f + m_B c_B vartheta^* - vartheta_B Anschliess muss diese nach der gesuchten Grösse vartheta_W aufgelöst werden: m_B L_f + m_B c_B vartheta^* - vartheta_B - m_W c_W vartheta^* - vartheta_W m_B L_f + c_B vartheta^* - vartheta_B m_W c_W vartheta_W - m_W c_W vartheta^* m_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^* m_W c_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^*m_W c_W vartheta_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ textbfVariante - al Qnutz Qzu sscQW sscQB + sscQfB ssccW sscmW DeltasscthetaW ssccB sscmB DeltasscthetaB + sscmB sscLf ssccW sscmW qtysscthetaW-theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW- ssccW sscmW theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW ssccW sscmW theta^* + ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf sscthetaW TwF Tfb + fraccb mb qtyTfb - Tb + mb LbcWa mw TwQ %approx TwP
mbO Butter aus dem Kühlschrank TbO soll im Wasserbad mwO vollständig geschmolzen werden. Welche Anfangstemperatur muss das Wasser haben? Butter: spezifische Wärmekapazität cbO spezifische Schmelzwärme LbO Schmelztemperatur TfbO
Solution:
Geg m_B mb vartheta_B TbO m_W mw c_B cb L_f Lb vartheta^* sscthetafB TfbO c_W cWa textbfVariante - Zuerst wird die Wärmebilanz aufgestellt wobei das positive Vorzeichen bei der latenten Wärme des Bleis zu beachten ist Schmelzen: m_W c_W vartheta^* - vartheta_W + m_B L_f + m_B c_B vartheta^* - vartheta_B Anschliess muss diese nach der gesuchten Grösse vartheta_W aufgelöst werden: m_B L_f + m_B c_B vartheta^* - vartheta_B - m_W c_W vartheta^* - vartheta_W m_B L_f + c_B vartheta^* - vartheta_B m_W c_W vartheta_W - m_W c_W vartheta^* m_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^* m_W c_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^*m_W c_W vartheta_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ textbfVariante - al Qnutz Qzu sscQW sscQB + sscQfB ssccW sscmW DeltasscthetaW ssccB sscmB DeltasscthetaB + sscmB sscLf ssccW sscmW qtysscthetaW-theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW- ssccW sscmW theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW ssccW sscmW theta^* + ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf sscthetaW TwF Tfb + fraccb mb qtyTfb - Tb + mb LbcWa mw TwQ %approx TwP
Meta Information
Exercise:
mbO Butter aus dem Kühlschrank TbO soll im Wasserbad mwO vollständig geschmolzen werden. Welche Anfangstemperatur muss das Wasser haben? Butter: spezifische Wärmekapazität cbO spezifische Schmelzwärme LbO Schmelztemperatur TfbO
Solution:
Geg m_B mb vartheta_B TbO m_W mw c_B cb L_f Lb vartheta^* sscthetafB TfbO c_W cWa textbfVariante - Zuerst wird die Wärmebilanz aufgestellt wobei das positive Vorzeichen bei der latenten Wärme des Bleis zu beachten ist Schmelzen: m_W c_W vartheta^* - vartheta_W + m_B L_f + m_B c_B vartheta^* - vartheta_B Anschliess muss diese nach der gesuchten Grösse vartheta_W aufgelöst werden: m_B L_f + m_B c_B vartheta^* - vartheta_B - m_W c_W vartheta^* - vartheta_W m_B L_f + c_B vartheta^* - vartheta_B m_W c_W vartheta_W - m_W c_W vartheta^* m_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^* m_W c_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^*m_W c_W vartheta_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ textbfVariante - al Qnutz Qzu sscQW sscQB + sscQfB ssccW sscmW DeltasscthetaW ssccB sscmB DeltasscthetaB + sscmB sscLf ssccW sscmW qtysscthetaW-theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW- ssccW sscmW theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW ssccW sscmW theta^* + ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf sscthetaW TwF Tfb + fraccb mb qtyTfb - Tb + mb LbcWa mw TwQ %approx TwP
mbO Butter aus dem Kühlschrank TbO soll im Wasserbad mwO vollständig geschmolzen werden. Welche Anfangstemperatur muss das Wasser haben? Butter: spezifische Wärmekapazität cbO spezifische Schmelzwärme LbO Schmelztemperatur TfbO
Solution:
Geg m_B mb vartheta_B TbO m_W mw c_B cb L_f Lb vartheta^* sscthetafB TfbO c_W cWa textbfVariante - Zuerst wird die Wärmebilanz aufgestellt wobei das positive Vorzeichen bei der latenten Wärme des Bleis zu beachten ist Schmelzen: m_W c_W vartheta^* - vartheta_W + m_B L_f + m_B c_B vartheta^* - vartheta_B Anschliess muss diese nach der gesuchten Grösse vartheta_W aufgelöst werden: m_B L_f + m_B c_B vartheta^* - vartheta_B - m_W c_W vartheta^* - vartheta_W m_B L_f + c_B vartheta^* - vartheta_B m_W c_W vartheta_W - m_W c_W vartheta^* m_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^* m_W c_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_B + m_W c_W vartheta^*m_W c_W vartheta_W vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ vartheta_W fracm_B L_f + c_B vartheta^* - vartheta_Bm_W c_W + vartheta^* TwQ textbfVariante - al Qnutz Qzu sscQW sscQB + sscQfB ssccW sscmW DeltasscthetaW ssccB sscmB DeltasscthetaB + sscmB sscLf ssccW sscmW qtysscthetaW-theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW- ssccW sscmW theta^* ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf ssccW sscmW sscthetaW ssccW sscmW theta^* + ssccB sscmB qtytheta^*-sscthetaB + sscmB sscLf sscthetaW TwF Tfb + fraccb mb qtyTfb - Tb + mb LbcWa mw TwQ %approx TwP
Contained in these collections
| Title | Creator | Matched on |
|---|---|---|
| Butter schmelzen | pw | tagstitle |
| Kupfer schmelzen | uz | title |
| Blei schmelzen | uz | title |
| Handwärmer | pw | tags |

