Stickstoff im Kompressor
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
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Video
\(\LaTeX\)
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Exercise:
Im Zylinder eines Kompressors befinden sich . ^-simol Stickstoffgas bei einem Druck von . ^siPa und mit einem Volumen von ^-sim^. Bei einer Kompression auf ^-sim^ steigt der Druck auf . ^siPa. abcliste abc Wie gross ist die innere Energie des gesamten Gases textitvor der Kompression? abc Wie gross ist die mittlere Geschwindigkeit der Gasmoleküle textitnach der Kompression? abcliste
Solution:
Geg.: n. ^-simol p_. ^siPa V_ ^-sim^ V_ ^-sim^ p_. ^siPa enumerate item Ges.: U overlineE_mathrmkfrackTRa UNfrackTfracNkTfracpV Damit erhält man für den ersten Zustand: Ufracp_V_resJ item Ges.: overlinev Es gilt: overlineE_mathrmkfrackTRa fracm_mathrmToverlinev^frackT Damit erhalten wir für den zweiten Zustand: fracm_mathrmToverlinev^frackT_Ra overlinevsqrtfrackT_m_mathrmT Bestimmung von T_ und m_mathrmT: p_V_nRT_Ra T_fracp_V_nRsiK m_mathrmTfracMN_mathrmA. ^-sikg Damit erhalten wir: overlinevsqrtfrackT_m_mathrmTresm/s enumerate
Im Zylinder eines Kompressors befinden sich . ^-simol Stickstoffgas bei einem Druck von . ^siPa und mit einem Volumen von ^-sim^. Bei einer Kompression auf ^-sim^ steigt der Druck auf . ^siPa. abcliste abc Wie gross ist die innere Energie des gesamten Gases textitvor der Kompression? abc Wie gross ist die mittlere Geschwindigkeit der Gasmoleküle textitnach der Kompression? abcliste
Solution:
Geg.: n. ^-simol p_. ^siPa V_ ^-sim^ V_ ^-sim^ p_. ^siPa enumerate item Ges.: U overlineE_mathrmkfrackTRa UNfrackTfracNkTfracpV Damit erhält man für den ersten Zustand: Ufracp_V_resJ item Ges.: overlinev Es gilt: overlineE_mathrmkfrackTRa fracm_mathrmToverlinev^frackT Damit erhalten wir für den zweiten Zustand: fracm_mathrmToverlinev^frackT_Ra overlinevsqrtfrackT_m_mathrmT Bestimmung von T_ und m_mathrmT: p_V_nRT_Ra T_fracp_V_nRsiK m_mathrmTfracMN_mathrmA. ^-sikg Damit erhalten wir: overlinevsqrtfrackT_m_mathrmTresm/s enumerate
Meta Information
Exercise:
Im Zylinder eines Kompressors befinden sich . ^-simol Stickstoffgas bei einem Druck von . ^siPa und mit einem Volumen von ^-sim^. Bei einer Kompression auf ^-sim^ steigt der Druck auf . ^siPa. abcliste abc Wie gross ist die innere Energie des gesamten Gases textitvor der Kompression? abc Wie gross ist die mittlere Geschwindigkeit der Gasmoleküle textitnach der Kompression? abcliste
Solution:
Geg.: n. ^-simol p_. ^siPa V_ ^-sim^ V_ ^-sim^ p_. ^siPa enumerate item Ges.: U overlineE_mathrmkfrackTRa UNfrackTfracNkTfracpV Damit erhält man für den ersten Zustand: Ufracp_V_resJ item Ges.: overlinev Es gilt: overlineE_mathrmkfrackTRa fracm_mathrmToverlinev^frackT Damit erhalten wir für den zweiten Zustand: fracm_mathrmToverlinev^frackT_Ra overlinevsqrtfrackT_m_mathrmT Bestimmung von T_ und m_mathrmT: p_V_nRT_Ra T_fracp_V_nRsiK m_mathrmTfracMN_mathrmA. ^-sikg Damit erhalten wir: overlinevsqrtfrackT_m_mathrmTresm/s enumerate
Im Zylinder eines Kompressors befinden sich . ^-simol Stickstoffgas bei einem Druck von . ^siPa und mit einem Volumen von ^-sim^. Bei einer Kompression auf ^-sim^ steigt der Druck auf . ^siPa. abcliste abc Wie gross ist die innere Energie des gesamten Gases textitvor der Kompression? abc Wie gross ist die mittlere Geschwindigkeit der Gasmoleküle textitnach der Kompression? abcliste
Solution:
Geg.: n. ^-simol p_. ^siPa V_ ^-sim^ V_ ^-sim^ p_. ^siPa enumerate item Ges.: U overlineE_mathrmkfrackTRa UNfrackTfracNkTfracpV Damit erhält man für den ersten Zustand: Ufracp_V_resJ item Ges.: overlinev Es gilt: overlineE_mathrmkfrackTRa fracm_mathrmToverlinev^frackT Damit erhalten wir für den zweiten Zustand: fracm_mathrmToverlinev^frackT_Ra overlinevsqrtfrackT_m_mathrmT Bestimmung von T_ und m_mathrmT: p_V_nRT_Ra T_fracp_V_nRsiK m_mathrmTfracMN_mathrmA. ^-sikg Damit erhalten wir: overlinevsqrtfrackT_m_mathrmTresm/s enumerate
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