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Wasser im Glas mit Eiswürfel

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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/wasser-im-glas-mit-eiswurfel/

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The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Wärme \(Q\) / spezifische latente Wärme \(L\) / Wärmekapazität \(c\) /

The following formulas must be used to solve the exercise: \(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(Q = m \cdot L_{\scriptscriptstyle\rm f} \quad \) \(Q = m \cdot L_{\scriptscriptstyle\rm v} \quad \) \(\sum Q^\nearrow \stackrel{!}{=} \sum Q^\swarrow \quad \)

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Exercise:
In einem Glas befinde sich Wasser und ein Eiswürfel der Masse g; beide im Temperaturgleichgewicht bei celsius. Nun werde mittels einer Düse dem Glas g Wasserdampf hinzugefügt so dass sich im Glas nur noch Wasser bei einer Endtemperatur von celsius befindet. Berechne wie viel Wasser anfänglich im Glas vorhanden war.

Solution:
Q^nearrow Q^swarrow Q_ Q_+Q_ Q_v + Q_Delta Q_Delta + Q_f + Q_Delta m_L_v + c m_ Deltatheta_ c m_ Deltatheta_ + m_ L_f + c m_ Deltatheta_ c m_ Deltatheta_ m_L_v + c m_ Deltatheta_- m_ L_f - c m_ Deltatheta_ m_ fracm_L_v + c m_ Deltatheta_- m_ L_f - c m_ Deltatheta_c Deltatheta_ pq.kg

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Contained in these collections:

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Asked Quantity: Masse \(m\) in Kilogramm \(\rm kg\)

Attributes & Decorations

Tags	eis, fest, flüssig, gasförmig, kalorik, mischen, phasenübergang, phasenübergänge, physik, wasserdampf, wärmelehre
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Difficulty	(3, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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