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Aufsteigende Gasblase

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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

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/aufsteigende-gasblase/

Question

Solution

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Need help? Yes, please!

The following quantities appear in the problem: Volumen \(V\) / Druck \(p\) / Ortsfaktor \(g\) / Höhe \(h\) / Dichte \(\varrho\) /

The following formulas must be used to solve the exercise: \(p_1V_1 = p_2V_2 \quad \) \(p = \varrho g h \quad \)

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No explanation / solution video for this exercise has yet been created.
But there is a video to a similar exercise:

In case your browser prevents YouTube embedding: https://youtu.be/5At5IRB8ejg

Exercise:
Verfaulen organische Stoffe unter Wasser so entstehen verschiedene Gase die als Blasen aufsteigen. Falls die Gase nicht im Wasser gelöst werden ist das Produkt aus Gasdruck und Gasvolumen p V konstant. Eine Blase hat in m Tiefe ein Volumen von .sicm^ . Welches Volumen hat sie unmittelbar unter der Wasseroberfläche? Der Luftdruck ist Pa.

Solution:
Geg.: hsim p_siPa V_.sicm^.sim^ Ges.: V_ bei p_ Wir wissen dass für jede Wassertiefe gilt: p Vtextconst. Der Druck in der Gasblase und der Umgebungsdruck sind auf jeder Wassertiefe gleich gross. Also ist der Druck in sim Tiefe: p_p_+varrho g hsiPa+sikg/m^ .sim/s^ sim.siPa In m Tiefe ist das Produkt aus Druck und Volumen p V: p_ V_.siPa m^ Gerade unter der Wasseroberfläche ist der Druck p_ entsrpicht also dem Luftdruck. Wegen p Vtextconst. gilt jetzt: p_ V_.siPa m^Ra V_frac.siPa m^p_res.m^res.cm^

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Tags	juniorübung, mechanik, schweredruck
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Difficulty	(2, default)
Points	0 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	rb
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