TeXercises.com

Absolute und prozentuale Dichteänderung

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.

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 -

Exercise

https://texercises.com/exercise/absolute-und-prozentuale-dichteanderung/

Question

Solution

Short

Video

\(\LaTeX\)

Need help? Yes, please!

The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Volumen \(V\) / Dichte \(\varrho\) / Längenausdehnungskoeffizient \(\alpha\) /

The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(V = V_0 \cdot (1+ 3\alpha \cdot \Delta\vartheta) \quad \)

Hide help

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/kRDWzsRFrhE

Exercise:
Die Dichten in der Formelsammlung beziehen sich auf TR. abcliste abc Bestimmen Sie die Dichte von Eisen bei DT. abc Bestimmen Sie die prozentuale Dichteänderung von Eisen bei einer Erwärmung um DT. abcliste

Solution:
Geg Delta sscthetaa celsius quad textAbweichung zu TR Delta sscthetab celsius quad textErwärmung um DT abcliste abc GesDichte rhorhosifrackgm^ abc GesProzentuale Dichteänderung fracDelta rhosscrhofracDelta rhosscrhosipercent abcliste abcliste abc rho sscrho - gamma Delta sscthetaa rho ROEF rho RE - AE textK rho ROE approx ROES rho ROEF &approx ROES abc fracDelta rhosscrho fracrho - sscrhosscrho fracrhosscrho - fracrhosscrho - fracsscrho - sscalphaE Delta sscthetabsscrho - fracrhosscrho - PRZF fracrhosscrho - - AE textK fracrhosscrho - PRZ approx PRZP fracrhosscrho - PRZF &approx PRZP abcliste SolQtyPRZ- sscalphaE Delta sscthetab-*AEX**percent

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Thermische Ausdehnung by dk

7 | 8
Dichteänderung bei Temperaturänderung by TeXercises

10 | 10

Attributes & Decorations

Branches	Thermal Expansion
Tags	dichteänderung, prozentuale dichteänderung, volumenausdehnung, wärmeausdehnung
Content image
Difficulty	(4, default)
Points	0 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	dk
Decoration
File
Link