Mathematical and Physical Journal
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Problem P. 3900. (May 2006)

P. 3900. A body, whose initial temperature is T0 is put to thermal contact with the heat reservoirs of temperatures T_{1}, T_{2},\ldots, T_{n-1} and finally connected with the heat reservoir of temperature Tn=T0. Show that Clausius' statement:


\sum_{i=1}^{n}\frac{Q_{i}}{T_{i}}\le 0

holds true. Qi is the heat absorbed by the body from that heat reservoir whose temperature is Ti. Assume that the volume of the body cannot change.

(5 pont)

Deadline expired on June 12, 2006.


Statistics:

31 students sent a solution.
5 points:Konczer József, Máté István Mátyás, Megyeri Balázs, Nagy 555 Zoltán, Széchenyi Gábor, Werner Miklós.
4 points:Almási 270 Gábor András, Balogh Máté, Blázsik Zoltán, Csire Gábor, Dudás János, Engedy Balázs, Farkas Ádám László, Gresits Iván, Győri Tamás Noé, Hegyi Ádám, Kónya 495 Gábor, Legoza József, Molnár 811 Kristóf, Nagy 224 Csaba, Nagy 317 Péter, Pásztor Attila, Pósa László, Roósz Gergő, Szabó 001 Áron, Szirmai Péter, Szolnoki Lénárd, Szűcs Gergely, Takátsy Balázs, Tolner Ferenc.
2 points:1 student.

Problems in Physics of KöMaL, May 2006