Bilanz: Kalorimeter
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 Kalorimeter der Masse m_K besteht aus Aluminium und enthält Glyzerin der Masse m_G. Beides befindet sich bei Raumtemperatur T_R. Jetzt wird ein Stück Wolfram der Masse m_W und der Temperatur T_W T_WT_R ins Kalorimeter gegeben. Nach kurzer Zeit stellt sich die Mischtemperatur T_m ein. enumerate item Stellen Sie für diesen Vorgang eine Bilanzgleichung auf. Die entsprechen Wärmekapazitäten bezeichnen Sie mit c_A c_G c_W. item Lösen Sie nach T_W auf. enumerate
Solution:
Q_ab&c_W m_W T_W-T_m Q_zu&c_G m_G T_m-T_R+c_A m_A T_m-T_R &c_G m_G+c_A m_AT_m-T_R Q_ab&Q_zu longrightarrow c_W m_W T_W-T_m&c_G m_G+c_A m_AT_m-T_R longrightarrow T_W&fracc_G m_G+c_A m_Ac_W m_WT_m-T_R+T_m
Ein Kalorimeter der Masse m_K besteht aus Aluminium und enthält Glyzerin der Masse m_G. Beides befindet sich bei Raumtemperatur T_R. Jetzt wird ein Stück Wolfram der Masse m_W und der Temperatur T_W T_WT_R ins Kalorimeter gegeben. Nach kurzer Zeit stellt sich die Mischtemperatur T_m ein. enumerate item Stellen Sie für diesen Vorgang eine Bilanzgleichung auf. Die entsprechen Wärmekapazitäten bezeichnen Sie mit c_A c_G c_W. item Lösen Sie nach T_W auf. enumerate
Solution:
Q_ab&c_W m_W T_W-T_m Q_zu&c_G m_G T_m-T_R+c_A m_A T_m-T_R &c_G m_G+c_A m_AT_m-T_R Q_ab&Q_zu longrightarrow c_W m_W T_W-T_m&c_G m_G+c_A m_AT_m-T_R longrightarrow T_W&fracc_G m_G+c_A m_Ac_W m_WT_m-T_R+T_m
Meta Information
Exercise:
Ein Kalorimeter der Masse m_K besteht aus Aluminium und enthält Glyzerin der Masse m_G. Beides befindet sich bei Raumtemperatur T_R. Jetzt wird ein Stück Wolfram der Masse m_W und der Temperatur T_W T_WT_R ins Kalorimeter gegeben. Nach kurzer Zeit stellt sich die Mischtemperatur T_m ein. enumerate item Stellen Sie für diesen Vorgang eine Bilanzgleichung auf. Die entsprechen Wärmekapazitäten bezeichnen Sie mit c_A c_G c_W. item Lösen Sie nach T_W auf. enumerate
Solution:
Q_ab&c_W m_W T_W-T_m Q_zu&c_G m_G T_m-T_R+c_A m_A T_m-T_R &c_G m_G+c_A m_AT_m-T_R Q_ab&Q_zu longrightarrow c_W m_W T_W-T_m&c_G m_G+c_A m_AT_m-T_R longrightarrow T_W&fracc_G m_G+c_A m_Ac_W m_WT_m-T_R+T_m
Ein Kalorimeter der Masse m_K besteht aus Aluminium und enthält Glyzerin der Masse m_G. Beides befindet sich bei Raumtemperatur T_R. Jetzt wird ein Stück Wolfram der Masse m_W und der Temperatur T_W T_WT_R ins Kalorimeter gegeben. Nach kurzer Zeit stellt sich die Mischtemperatur T_m ein. enumerate item Stellen Sie für diesen Vorgang eine Bilanzgleichung auf. Die entsprechen Wärmekapazitäten bezeichnen Sie mit c_A c_G c_W. item Lösen Sie nach T_W auf. enumerate
Solution:
Q_ab&c_W m_W T_W-T_m Q_zu&c_G m_G T_m-T_R+c_A m_A T_m-T_R &c_G m_G+c_A m_AT_m-T_R Q_ab&Q_zu longrightarrow c_W m_W T_W-T_m&c_G m_G+c_A m_AT_m-T_R longrightarrow T_W&fracc_G m_G+c_A m_Ac_W m_WT_m-T_R+T_m
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