Wärmemengen für Anfänger IV
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:
Bestimmen Sie die folgen Wärmemengen. enumerate item li Wasser werde um cel erwärmt. item gram Eis bei cel werden geschmolzen und anschliessen um K erwärmt. item gram Wasserdampf bei cel werde kondensiert und auf cel abgekühlt. enumerate Beantworten Sie folge Frage. enumeratesetcounterenumi item Was entsteht falls Sie gram Wasserdampf bei cel und gram Eis bei cel mischen? Rechnen Sie! enumerate
Solution:
enumerate item Q_ m_ c_W Delta T_ approx .kiloJ. item Q_ m_L_f + m_ c_W Delta T_ approx .kiloJ. item Q_ -m_L_v + m_ c_W Delta T_ approx -.kiloJ. item Die maximal abgegebene Wärme ist: Q_ab m_L_v + m_ c_W Delta T' .kiloJ wobei Delta T' K ist.mm Zuerst wird damit das Eis geschmolzen: Q_schm m_L_f .kiloJ. Damit bleibt ein Rest von Q_rest .kiloJ. Mit dieser Wärmemenge wird das ganze Wasser von cel erwärmt d.h. Q_rest m_+m_c_WDelta T Rightarrow Delta T fracQ_restm_+m_c_W approx K. Somit hat die gesamte Wassermenge die Temperatur von cel. enumerate
Bestimmen Sie die folgen Wärmemengen. enumerate item li Wasser werde um cel erwärmt. item gram Eis bei cel werden geschmolzen und anschliessen um K erwärmt. item gram Wasserdampf bei cel werde kondensiert und auf cel abgekühlt. enumerate Beantworten Sie folge Frage. enumeratesetcounterenumi item Was entsteht falls Sie gram Wasserdampf bei cel und gram Eis bei cel mischen? Rechnen Sie! enumerate
Solution:
enumerate item Q_ m_ c_W Delta T_ approx .kiloJ. item Q_ m_L_f + m_ c_W Delta T_ approx .kiloJ. item Q_ -m_L_v + m_ c_W Delta T_ approx -.kiloJ. item Die maximal abgegebene Wärme ist: Q_ab m_L_v + m_ c_W Delta T' .kiloJ wobei Delta T' K ist.mm Zuerst wird damit das Eis geschmolzen: Q_schm m_L_f .kiloJ. Damit bleibt ein Rest von Q_rest .kiloJ. Mit dieser Wärmemenge wird das ganze Wasser von cel erwärmt d.h. Q_rest m_+m_c_WDelta T Rightarrow Delta T fracQ_restm_+m_c_W approx K. Somit hat die gesamte Wassermenge die Temperatur von cel. enumerate
Meta Information
Exercise:
Bestimmen Sie die folgen Wärmemengen. enumerate item li Wasser werde um cel erwärmt. item gram Eis bei cel werden geschmolzen und anschliessen um K erwärmt. item gram Wasserdampf bei cel werde kondensiert und auf cel abgekühlt. enumerate Beantworten Sie folge Frage. enumeratesetcounterenumi item Was entsteht falls Sie gram Wasserdampf bei cel und gram Eis bei cel mischen? Rechnen Sie! enumerate
Solution:
enumerate item Q_ m_ c_W Delta T_ approx .kiloJ. item Q_ m_L_f + m_ c_W Delta T_ approx .kiloJ. item Q_ -m_L_v + m_ c_W Delta T_ approx -.kiloJ. item Die maximal abgegebene Wärme ist: Q_ab m_L_v + m_ c_W Delta T' .kiloJ wobei Delta T' K ist.mm Zuerst wird damit das Eis geschmolzen: Q_schm m_L_f .kiloJ. Damit bleibt ein Rest von Q_rest .kiloJ. Mit dieser Wärmemenge wird das ganze Wasser von cel erwärmt d.h. Q_rest m_+m_c_WDelta T Rightarrow Delta T fracQ_restm_+m_c_W approx K. Somit hat die gesamte Wassermenge die Temperatur von cel. enumerate
Bestimmen Sie die folgen Wärmemengen. enumerate item li Wasser werde um cel erwärmt. item gram Eis bei cel werden geschmolzen und anschliessen um K erwärmt. item gram Wasserdampf bei cel werde kondensiert und auf cel abgekühlt. enumerate Beantworten Sie folge Frage. enumeratesetcounterenumi item Was entsteht falls Sie gram Wasserdampf bei cel und gram Eis bei cel mischen? Rechnen Sie! enumerate
Solution:
enumerate item Q_ m_ c_W Delta T_ approx .kiloJ. item Q_ m_L_f + m_ c_W Delta T_ approx .kiloJ. item Q_ -m_L_v + m_ c_W Delta T_ approx -.kiloJ. item Die maximal abgegebene Wärme ist: Q_ab m_L_v + m_ c_W Delta T' .kiloJ wobei Delta T' K ist.mm Zuerst wird damit das Eis geschmolzen: Q_schm m_L_f .kiloJ. Damit bleibt ein Rest von Q_rest .kiloJ. Mit dieser Wärmemenge wird das ganze Wasser von cel erwärmt d.h. Q_rest m_+m_c_WDelta T Rightarrow Delta T fracQ_restm_+m_c_W approx K. Somit hat die gesamte Wassermenge die Temperatur von cel. enumerate
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