Silvester-Bleigiessen
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
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 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
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 -
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
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:
\(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(Q = m \cdot L_{\scriptscriptstyle\rm f} \quad \) \(\sum Q^\nearrow \stackrel{!}{=} \sum Q^\swarrow \quad \)
Exercise:
Beim Silvester-Bleigiessen werden g flüssiges Blei welches gerade geschmolzen ist in eine Schale mit g Wasser von degreeCelsius gegossen. Welche Mischtemperatur stellt sich ein? FormelbuchBlei schmilzt bei .degreeCelsius hat eine spezifische Wärmekapazität von jouleperkilogramperkelvin sowie eine Schmelzwärme von .kilojouleperkilogram.
Solution:
newqtymBg newqtymWg newqtyTWcelsius WaermeBlei WaermeWasser % unknowntheta^* % Wir stellen wie immer die Wärmebilanz auf und lösen nach der Mischtemperatur auf. WaermeSchritte PGleichungsscQW ssctilde QBf + sscQB PGleichungssccW sscmW DeltasscthetaW sscmB sscLBf + ssccB sscmB DeltasscthetaB PGleichungssccW sscmW uk-sscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - uk AlgebraSchritte MGleichungssccW sscmW uk-ssccW sscmWsscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - ssccB sscmBuk MGleichungssccW sscmW uk + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichungssccW sscmW + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichunguk fracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmB % PHYSMATH % Die Mischtemperatur beträgt demnach solqtyTfracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmBmBn*LfBln+cBln*mBn*TfBln+cWan*mWn*TWn/cWan*mWn+cBln*mBncelsius al theta^* Tf fracmBLfBl + cBlmBTfBl + cWa mWTWcWamW + cBlmB TTTTT TTT
Beim Silvester-Bleigiessen werden g flüssiges Blei welches gerade geschmolzen ist in eine Schale mit g Wasser von degreeCelsius gegossen. Welche Mischtemperatur stellt sich ein? FormelbuchBlei schmilzt bei .degreeCelsius hat eine spezifische Wärmekapazität von jouleperkilogramperkelvin sowie eine Schmelzwärme von .kilojouleperkilogram.
Solution:
newqtymBg newqtymWg newqtyTWcelsius WaermeBlei WaermeWasser % unknowntheta^* % Wir stellen wie immer die Wärmebilanz auf und lösen nach der Mischtemperatur auf. WaermeSchritte PGleichungsscQW ssctilde QBf + sscQB PGleichungssccW sscmW DeltasscthetaW sscmB sscLBf + ssccB sscmB DeltasscthetaB PGleichungssccW sscmW uk-sscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - uk AlgebraSchritte MGleichungssccW sscmW uk-ssccW sscmWsscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - ssccB sscmBuk MGleichungssccW sscmW uk + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichungssccW sscmW + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichunguk fracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmB % PHYSMATH % Die Mischtemperatur beträgt demnach solqtyTfracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmBmBn*LfBln+cBln*mBn*TfBln+cWan*mWn*TWn/cWan*mWn+cBln*mBncelsius al theta^* Tf fracmBLfBl + cBlmBTfBl + cWa mWTWcWamW + cBlmB TTTTT TTT
Meta Information
Exercise:
Beim Silvester-Bleigiessen werden g flüssiges Blei welches gerade geschmolzen ist in eine Schale mit g Wasser von degreeCelsius gegossen. Welche Mischtemperatur stellt sich ein? FormelbuchBlei schmilzt bei .degreeCelsius hat eine spezifische Wärmekapazität von jouleperkilogramperkelvin sowie eine Schmelzwärme von .kilojouleperkilogram.
Solution:
newqtymBg newqtymWg newqtyTWcelsius WaermeBlei WaermeWasser % unknowntheta^* % Wir stellen wie immer die Wärmebilanz auf und lösen nach der Mischtemperatur auf. WaermeSchritte PGleichungsscQW ssctilde QBf + sscQB PGleichungssccW sscmW DeltasscthetaW sscmB sscLBf + ssccB sscmB DeltasscthetaB PGleichungssccW sscmW uk-sscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - uk AlgebraSchritte MGleichungssccW sscmW uk-ssccW sscmWsscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - ssccB sscmBuk MGleichungssccW sscmW uk + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichungssccW sscmW + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichunguk fracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmB % PHYSMATH % Die Mischtemperatur beträgt demnach solqtyTfracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmBmBn*LfBln+cBln*mBn*TfBln+cWan*mWn*TWn/cWan*mWn+cBln*mBncelsius al theta^* Tf fracmBLfBl + cBlmBTfBl + cWa mWTWcWamW + cBlmB TTTTT TTT
Beim Silvester-Bleigiessen werden g flüssiges Blei welches gerade geschmolzen ist in eine Schale mit g Wasser von degreeCelsius gegossen. Welche Mischtemperatur stellt sich ein? FormelbuchBlei schmilzt bei .degreeCelsius hat eine spezifische Wärmekapazität von jouleperkilogramperkelvin sowie eine Schmelzwärme von .kilojouleperkilogram.
Solution:
newqtymBg newqtymWg newqtyTWcelsius WaermeBlei WaermeWasser % unknowntheta^* % Wir stellen wie immer die Wärmebilanz auf und lösen nach der Mischtemperatur auf. WaermeSchritte PGleichungsscQW ssctilde QBf + sscQB PGleichungssccW sscmW DeltasscthetaW sscmB sscLBf + ssccB sscmB DeltasscthetaB PGleichungssccW sscmW uk-sscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - uk AlgebraSchritte MGleichungssccW sscmW uk-ssccW sscmWsscthetaW sscmB sscLBf + ssccB sscmB sscthetaBf - ssccB sscmBuk MGleichungssccW sscmW uk + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichungssccW sscmW + ssccB sscmBuk sscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaW MGleichunguk fracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmB % PHYSMATH % Die Mischtemperatur beträgt demnach solqtyTfracsscmB sscLBf + ssccB sscmB sscthetaBf + ssccW sscmWsscthetaWssccW sscmW + ssccB sscmBmBn*LfBln+cBln*mBn*TfBln+cWan*mWn*TWn/cWan*mWn+cBln*mBncelsius al theta^* Tf fracmBLfBl + cBlmBTfBl + cWa mWTWcWamW + cBlmB TTTTT TTT
Contained in these collections:
-
VM 2023: Probethese 1 by pw
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Mischen mit Erstarrungswärme by TeXercises
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Latente Wärme by pw
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Latente Wärme 2 by uz
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Latente Wärmen by aej
Asked Quantity:
Temperatur \(T\)
in
Kelvin \(\rm K\)
Physical Quantity
Unit