Luftbehälter
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:
Ein Behälter mit VaO Inhalt wird bei konstantem Druck von thaO auf thbO erwärmt. Wie viel Prozent der eingeschlossenen Luft entweichen dabei? Der Behälter dehnt sich dabei nicht wesentlich aus.
Solution:
Geg V_ VaO Va p const T_ thaO Ta T_ thbO Tb GesVolumenprozenteta Die Luft hat bei thbO neu V_ fracV_T_ T_ fracVaTa Tb Vb Volumen. Es werden also Delta V V_-V_ fracT_T_ V_ - V_ leftfracT_T_-right V_ Vb - Va dV entweichen falls man den Druck konstant lässt. Gemessen an der gesamten anfänglich eingeschlossenen Luft werden also eta fracDelta VV_ fracleftfracT_T_-right V_ fracT_T_ V_ fracleftfracT_-T_T_right fracT_T_ fracdVVb net netpQ entweichen. Dabei wurde V_ genommen weil die Menge enquoteAnzahl Atome die entweicht auch unter diesen Bedingungen gemessen wurde. Beide Mengen müssen bei derselben Temperatur und bei demselben Druck miteinander verglichen werden. eta fracT_-T_T_ net netpQ
Ein Behälter mit VaO Inhalt wird bei konstantem Druck von thaO auf thbO erwärmt. Wie viel Prozent der eingeschlossenen Luft entweichen dabei? Der Behälter dehnt sich dabei nicht wesentlich aus.
Solution:
Geg V_ VaO Va p const T_ thaO Ta T_ thbO Tb GesVolumenprozenteta Die Luft hat bei thbO neu V_ fracV_T_ T_ fracVaTa Tb Vb Volumen. Es werden also Delta V V_-V_ fracT_T_ V_ - V_ leftfracT_T_-right V_ Vb - Va dV entweichen falls man den Druck konstant lässt. Gemessen an der gesamten anfänglich eingeschlossenen Luft werden also eta fracDelta VV_ fracleftfracT_T_-right V_ fracT_T_ V_ fracleftfracT_-T_T_right fracT_T_ fracdVVb net netpQ entweichen. Dabei wurde V_ genommen weil die Menge enquoteAnzahl Atome die entweicht auch unter diesen Bedingungen gemessen wurde. Beide Mengen müssen bei derselben Temperatur und bei demselben Druck miteinander verglichen werden. eta fracT_-T_T_ net netpQ
Meta Information
Exercise:
Ein Behälter mit VaO Inhalt wird bei konstantem Druck von thaO auf thbO erwärmt. Wie viel Prozent der eingeschlossenen Luft entweichen dabei? Der Behälter dehnt sich dabei nicht wesentlich aus.
Solution:
Geg V_ VaO Va p const T_ thaO Ta T_ thbO Tb GesVolumenprozenteta Die Luft hat bei thbO neu V_ fracV_T_ T_ fracVaTa Tb Vb Volumen. Es werden also Delta V V_-V_ fracT_T_ V_ - V_ leftfracT_T_-right V_ Vb - Va dV entweichen falls man den Druck konstant lässt. Gemessen an der gesamten anfänglich eingeschlossenen Luft werden also eta fracDelta VV_ fracleftfracT_T_-right V_ fracT_T_ V_ fracleftfracT_-T_T_right fracT_T_ fracdVVb net netpQ entweichen. Dabei wurde V_ genommen weil die Menge enquoteAnzahl Atome die entweicht auch unter diesen Bedingungen gemessen wurde. Beide Mengen müssen bei derselben Temperatur und bei demselben Druck miteinander verglichen werden. eta fracT_-T_T_ net netpQ
Ein Behälter mit VaO Inhalt wird bei konstantem Druck von thaO auf thbO erwärmt. Wie viel Prozent der eingeschlossenen Luft entweichen dabei? Der Behälter dehnt sich dabei nicht wesentlich aus.
Solution:
Geg V_ VaO Va p const T_ thaO Ta T_ thbO Tb GesVolumenprozenteta Die Luft hat bei thbO neu V_ fracV_T_ T_ fracVaTa Tb Vb Volumen. Es werden also Delta V V_-V_ fracT_T_ V_ - V_ leftfracT_T_-right V_ Vb - Va dV entweichen falls man den Druck konstant lässt. Gemessen an der gesamten anfänglich eingeschlossenen Luft werden also eta fracDelta VV_ fracleftfracT_T_-right V_ fracT_T_ V_ fracleftfracT_-T_T_right fracT_T_ fracdVVb net netpQ entweichen. Dabei wurde V_ genommen weil die Menge enquoteAnzahl Atome die entweicht auch unter diesen Bedingungen gemessen wurde. Beide Mengen müssen bei derselben Temperatur und bei demselben Druck miteinander verglichen werden. eta fracT_-T_T_ net netpQ
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