Pressluftbehälter auf Berg
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
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Temperatur \(T\) / Volumen \(V\) / Druck \(p\) / Stoffmenge \(n\) /
The following formulas must be used to solve the exercise:
\(\dfrac{p_1V_1}{T_1} = \dfrac{p_2V_2}{T_2} \quad \) \(pV = nRT \quad \)
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Ein Behälter mit Volumen VaO wird bei der Temperatur TaO und dem Druck paO verschlossen. Auf einem Berg TbO pbO wird er wieder geöffnet nachdem der Inhalt sich auf die Aussentemperatur abgekühlt hat. Strömt Luft aus dem Behälter aus oder ein wenn er geöffnet wird? Wie viel Luft strömt ein bzw. aus?
Solution:
Geg V_ VaO Va T_ Ta p_ paO pa T_ Tb p_ pbO pb Geseingeströmte LuftmengeDelta Vsicubicmeter Die Luft im Behälter nimmt unter den Bedingungen auf dem Berg das Volumen T_K TaKF Ta + . TaK T_K TbKF Tb + . TbK V_ fracp_ V_ T_Kp_ T_K fracp_ V_ leftTbKFrightp_ leftTaKFright fracpa Va leftTb + .rightpb leftTa + .right Vb ein. Da dies kleiner ist als das Behältervolumen strömt Luft ein. Die eingeströmte Menge beträgt Delta V V_ - V_ V_ - VbF Va - fracpa Va leftTb + .rightpb leftTa + .right dV approx dVP Delta V dVF dVP
Ein Behälter mit Volumen VaO wird bei der Temperatur TaO und dem Druck paO verschlossen. Auf einem Berg TbO pbO wird er wieder geöffnet nachdem der Inhalt sich auf die Aussentemperatur abgekühlt hat. Strömt Luft aus dem Behälter aus oder ein wenn er geöffnet wird? Wie viel Luft strömt ein bzw. aus?
Solution:
Geg V_ VaO Va T_ Ta p_ paO pa T_ Tb p_ pbO pb Geseingeströmte LuftmengeDelta Vsicubicmeter Die Luft im Behälter nimmt unter den Bedingungen auf dem Berg das Volumen T_K TaKF Ta + . TaK T_K TbKF Tb + . TbK V_ fracp_ V_ T_Kp_ T_K fracp_ V_ leftTbKFrightp_ leftTaKFright fracpa Va leftTb + .rightpb leftTa + .right Vb ein. Da dies kleiner ist als das Behältervolumen strömt Luft ein. Die eingeströmte Menge beträgt Delta V V_ - V_ V_ - VbF Va - fracpa Va leftTb + .rightpb leftTa + .right dV approx dVP Delta V dVF dVP
Meta Information
Exercise:
Ein Behälter mit Volumen VaO wird bei der Temperatur TaO und dem Druck paO verschlossen. Auf einem Berg TbO pbO wird er wieder geöffnet nachdem der Inhalt sich auf die Aussentemperatur abgekühlt hat. Strömt Luft aus dem Behälter aus oder ein wenn er geöffnet wird? Wie viel Luft strömt ein bzw. aus?
Solution:
Geg V_ VaO Va T_ Ta p_ paO pa T_ Tb p_ pbO pb Geseingeströmte LuftmengeDelta Vsicubicmeter Die Luft im Behälter nimmt unter den Bedingungen auf dem Berg das Volumen T_K TaKF Ta + . TaK T_K TbKF Tb + . TbK V_ fracp_ V_ T_Kp_ T_K fracp_ V_ leftTbKFrightp_ leftTaKFright fracpa Va leftTb + .rightpb leftTa + .right Vb ein. Da dies kleiner ist als das Behältervolumen strömt Luft ein. Die eingeströmte Menge beträgt Delta V V_ - V_ V_ - VbF Va - fracpa Va leftTb + .rightpb leftTa + .right dV approx dVP Delta V dVF dVP
Ein Behälter mit Volumen VaO wird bei der Temperatur TaO und dem Druck paO verschlossen. Auf einem Berg TbO pbO wird er wieder geöffnet nachdem der Inhalt sich auf die Aussentemperatur abgekühlt hat. Strömt Luft aus dem Behälter aus oder ein wenn er geöffnet wird? Wie viel Luft strömt ein bzw. aus?
Solution:
Geg V_ VaO Va T_ Ta p_ paO pa T_ Tb p_ pbO pb Geseingeströmte LuftmengeDelta Vsicubicmeter Die Luft im Behälter nimmt unter den Bedingungen auf dem Berg das Volumen T_K TaKF Ta + . TaK T_K TbKF Tb + . TbK V_ fracp_ V_ T_Kp_ T_K fracp_ V_ leftTbKFrightp_ leftTaKFright fracpa Va leftTb + .rightpb leftTa + .right Vb ein. Da dies kleiner ist als das Behältervolumen strömt Luft ein. Die eingeströmte Menge beträgt Delta V V_ - V_ V_ - VbF Va - fracpa Va leftTb + .rightpb leftTa + .right dV approx dVP Delta V dVF dVP
Contained in these collections
-
Aufgaben: Ideales Gas by sn
-
Gasgleichung in 2 Situationen by TeXercises
| Title | Matched on |
|---|---|
| Luft | formula |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
Similar exercises (18)
| Title | Matched on |
|---|---|
| Luft | formula |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Universelle Gasgleichung | tags |
| Fassungsvermögen von Gasflasche für Buten | tags |
| Prozentuale Druckänderung | tags |
| Autoreifen | tags |
| Gas | tags |
| Stadtgas | tags |
| Ideales Gas | tags |
| Schulzimmer | tags |

