Berechnung der Wärmemenge?

Hallo, ich habe in Physik eine Aufgabe zur Wärmelehre, die ich leider nicht lösen kann. Kann mir jemand bei der folgenden Aufgabe den Lösungsweg erklären? Als Ergebniss kommt laut Lösung 956,9 Kubikmeter rauskommen. Wie man darauf kommt, weiß ich leider nicht.

(Bild durch den Support entfernt)

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evtldocha
1 year ago

Because of the efficiency, the required thermal energy is:

On the other hand, the energy can be calculated from the temperature difference ΔT, the specific heat capacity “c” of water and the mass “m” of the water:

(This was used: m = ρ·V)

Equate the right sides of both equations and convert them to V:

To the denominator – The “2 K” come from:

The numbers entered the calculator and the searched result comes out.

verreisterNutzer
1 year ago
Reply to  evtldocha

And what is the volume V at V • p?

evtldocha
1 year ago

??

  • The volume is to be calculated and the three numbers can be safely loaded into the TR,
  • This is not a “p” but the density ρ (Greek “rho”) of water and since in the formula for the heat energy the mass stands, but the volume is sought, the mass “m” must be expressed by density and volume (but I also wrote in brackets)
verreisterNutzer
1 year ago
Reply to  evtldocha

Why did you convert the 1.5% to 0.015?

evtldocha
1 year ago

1,5% = 1,5 * 1/100 = 0.015.

It is really annoying that you don’t teach anyone at school that the % sign means nothing different than * 1/100.

verreisterNutzer
1 year ago
Reply to  evtldocha

And what is the volume V at V • p?

evtldocha
1 year ago

The set does not make any sense, because the result of the whole exercise is to calculate the volume (=narrow of the conspirated water in m3).

evtldocha
1 year ago

Please read the answer – All numbers are here! V= …. this is each individual number including unit. And I’m not gonna write it back. They are even in the order they are in the denominator.

verreisterNutzer
1 year ago

Perhaps you could tell me in concrete terms, so with figures you can use this formula (Q=cwm⋅ΔT=cwρV⋅ ΔT) would have to tap into the TR? I think that would be clearer 🙉.