Exercise
https://texercises.com/exercise/olivenol-und-wasser-mischen/
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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:
g Olivenöl von celsius werde zu g Wasser von .celsius gegeben. Welche Mischtemperatur stellt sich ein?

Solution:
newqtymOkg newqtymWkg newqtycO.eJpkgK newqtycWJpkgK newqtyTOcelsius newqtyTW.celsius solqtyTfracssccO sscmO  sscthetaO + ssccW sscmW  sscthetaWssccW sscmW  + ssccO sscmOcOn*mOn*TOn+cWn*mWn*TWn/cWn*mWn+cOn*mOncelsius WaermeSchritte PGleichungsscQW sscQO PGleichungssccW sscmW  DeltasscthetaW  ssccO sscmO  DeltasscthetaO PGleichungssccW sscmW  qtytheta^*-sscthetaW  ssccO sscmO  qtysscthetaO-theta^* AlgebraSchritte MGleichungssccW sscmW  theta^*- ssccW sscmW  sscthetaW  ssccO sscmO  sscthetaO-ssccO sscmO theta^* MGleichungssccW sscmW  theta^* + ssccO sscmO theta^* ssccO sscmO  sscthetaO + ssccW sscmW  sscthetaW MGleichungssccW sscmW  + ssccO sscmO theta^* ssccO sscmO  sscthetaO + ssccW sscmW  sscthetaW MGleichungtheta^* Tf PHYSMATH al theta^* Tf fraccO mO TO + cW mW TWcW mW + cO mO TTT
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Exercise:
g Olivenöl von celsius werde zu g Wasser von .celsius gegeben. Welche Mischtemperatur stellt sich ein?

Solution:
newqtymOkg newqtymWkg newqtycO.eJpkgK newqtycWJpkgK newqtyTOcelsius newqtyTW.celsius solqtyTfracssccO sscmO  sscthetaO + ssccW sscmW  sscthetaWssccW sscmW  + ssccO sscmOcOn*mOn*TOn+cWn*mWn*TWn/cWn*mWn+cOn*mOncelsius WaermeSchritte PGleichungsscQW sscQO PGleichungssccW sscmW  DeltasscthetaW  ssccO sscmO  DeltasscthetaO PGleichungssccW sscmW  qtytheta^*-sscthetaW  ssccO sscmO  qtysscthetaO-theta^* AlgebraSchritte MGleichungssccW sscmW  theta^*- ssccW sscmW  sscthetaW  ssccO sscmO  sscthetaO-ssccO sscmO theta^* MGleichungssccW sscmW  theta^* + ssccO sscmO theta^* ssccO sscmO  sscthetaO + ssccW sscmW  sscthetaW MGleichungssccW sscmW  + ssccO sscmO theta^* ssccO sscmO  sscthetaO + ssccW sscmW  sscthetaW MGleichungtheta^* Tf PHYSMATH al theta^* Tf fraccO mO TO + cW mW TWcW mW + cO mO TTT
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Attributes & Decorations
Tags
mischrechnung, olivenöl, spezifische energie, wasser, wärmekapazität
Difficulty
(4, default)
Points
8 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image