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Luft mit Braunkohle heizen

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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 -

Exercise

https://texercises.com/exercise/luft-mit-braunkohle-heizen/

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Solution

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The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Energie \(E\) / Wärme \(Q\) / Heizwert \(H\) / Wärmekapazität \(c\) /

The following formulas must be used to solve the exercise: \(E = m \cdot H \quad \) \(Q = c \cdot m \cdot \Delta\vartheta \quad \)

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Exercise:
Die Luft in einem sim^ grossen Wohnraum soll mit Braunkohle vom Heizwert .siMJ/kg von cel auf cel erwärmt werden rho_tinysubLuft.sikg/m^ wird als konstant angenommen. Die Verluste durch Tür- und Fensterritzen betragen insgesamt %. Wie viel Braunkohle wird für die angestrebte Erwärmung benötigt?

Solution:
Geg.: Vsim^ rho_tinysubL.sikg/m^ H.^siJ/kg eta. Delta Tcel c_mathrmp.^siJkg^-K^- Ges.: m Da der Raum undicht ist findet ein Druckausgleich statt sodass pmathrmconst. Wir müssen also für die Luft c_mathrmp verwen! etafracE_tinysubNE_tinysubAfracc_mathrmpm_tinysubLDelta THm Damit erhalten wir: mfracc_mathrmpm_tinysubLDelta TetaHfracc_mathrmprho_tinysubLVDelta TetaHres.kg

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Kalorik und Heizwert by TeXercises

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Tags	1. hs, erwärmen, heizwert
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Difficulty	(2, default)
Points	0 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	rb
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