Exercise
https://texercises.com/exercise/aluminium-in-wasser-1/
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The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Wärme \(Q\) / Wärmekapazität \(c\) /
The following formulas must be used to solve the exercise: \(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(\sum Q^\nearrow \stackrel{!}{=} \sum Q^\swarrow \quad \)
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Exercise:
Welche Mischtemperatur stellt sich ein wenn man g Aluminium von celsius in g Wasser von .celsius gibt?

Solution:
newqtyTAlcelsius newqtymAlkg newqtymWakg newqtyTWa.celsius newqtyTcelsius WaermeWasser WaermeAluminium % WaermeSchritte PGleichungsscQW sscQAl PGleichungssccWsscmWDeltasscthetaW ssccAl sscmAl DeltasscthetaAl PGleichungssccWsscmWqtytheta^*-sscthetaW ssccAl sscmAl qtysscthetaAl - theta^* MGleichungssccWsscmWtheta^*-ssccWsscmWsscthetaW ssccAl sscmAl sscthetaAl - ssccAl sscmAl theta^* MGleichungssccWsscmWtheta^*+ssccAl sscmAl theta^* ssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaW MGleichungssccWsscmW+ssccAl sscmAl theta^* ssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaW MGleichungtheta^* fracssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaWssccWsscmW+ssccAl sscmAl % PHYSMATH % solqtyTfracssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaWssccWsscmW+ssccAl sscmAlcAln*mAln*TAln+cWan*mWan*TWan/cWan*mWan+cAln*mAlncelsius al theta^* Tf fraccAlmAlTAl + cWamWaTWacWamWa + cAlmAl TTTTT TTT
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Exercise:
Welche Mischtemperatur stellt sich ein wenn man g Aluminium von celsius in g Wasser von .celsius gibt?

Solution:
newqtyTAlcelsius newqtymAlkg newqtymWakg newqtyTWa.celsius newqtyTcelsius WaermeWasser WaermeAluminium % WaermeSchritte PGleichungsscQW sscQAl PGleichungssccWsscmWDeltasscthetaW ssccAl sscmAl DeltasscthetaAl PGleichungssccWsscmWqtytheta^*-sscthetaW ssccAl sscmAl qtysscthetaAl - theta^* MGleichungssccWsscmWtheta^*-ssccWsscmWsscthetaW ssccAl sscmAl sscthetaAl - ssccAl sscmAl theta^* MGleichungssccWsscmWtheta^*+ssccAl sscmAl theta^* ssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaW MGleichungssccWsscmW+ssccAl sscmAl theta^* ssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaW MGleichungtheta^* fracssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaWssccWsscmW+ssccAl sscmAl % PHYSMATH % solqtyTfracssccAl sscmAl sscthetaAl + ssccWsscmWsscthetaWssccWsscmW+ssccAl sscmAlcAln*mAln*TAln+cWan*mWan*TWan/cWan*mWan+cAln*mAlncelsius al theta^* Tf fraccAlmAlTAl + cWamWaTWacWamWa + cAlmAl TTTTT TTT
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Attributes & Decorations
Tags
aluminium, mischrechnung, spezifische, wasser, wärme
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Difficulty
(4, default)
Points
6 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator pw
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Link