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Sylvester-Bleigiessen

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/sylvester-bleigiessen/

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Solution

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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: \(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(Q = m \cdot L_{\scriptscriptstyle\rm f} \quad \) \(\sum Q^\nearrow \stackrel{!}{=} \sum Q^\swarrow \quad \)

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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/KpK02We2DB4

Exercise:
Beim Sylvester-Bleigiessen wird flüssiges Blei welches gerade bei .degreeCelsius geschmolzen ist in eine Schale mit g Wasser bei degreeCelsius Temperatur gegossen worauf sich eine Mischtemperatur von degreeCelsius einstellt. Berechne wie viel Blei in das Wasser gegossen wurde. Blei hat eine spezifische Wärmekapazität von jouleperkilogramperkelvin sowie eine Schmelzwärme von .kilojouleperkilogram.

Solution:
Das gerade bei theta_f.degreeCelsius geschmolzene Blei erstarrt erst wieder und kühlt dann in seiner festen Form ab. Dabei gibt es die Wärme ab welche vom Wasser aufgenommen wird: Q^nearrow Q^swarrow Q_textscriptsizeBlei Q_textscriptsizeWasser Q_f + Q_Delta Q_Delta textcolorredm_B L_f + c_B textcolorredm_Btheta_f-theta_m c mtheta_m -theta_ cline- textcolorredm_B L_f + c_Btheta_f-theta_m c mtheta_m -theta_ textcolorredm_B fracc mtheta_m -theta_L_f + c_Btheta_f-theta_m .kg

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

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Tags	blei, erstarren, kalorik, mischtemperatur, physik, schmelzwärme, sylvester, wasser, wärmelehre
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Difficulty	(4, default)
Points	5 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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