Mathematical and Physical Journal
for High Schools
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Problem P. 4689. (December 2014)

P. 4689. The working substance in a thermodynamic heat engine is a sample of diatomic ideal gas, which is taken through a cyclic process which consists of two isobaric and two isochoric processes. The highest temperature of the gas in this cyclic process is 500 K. At those two states when the gas changes from the isochoric process to the isobaric process the temperatures are equal.

What is the lowest temperature of the gas during the cyclic process if the greatest possible efficiency of the heat engine working between the two extreme temperature values could be 9.9-times as much as the thermodynamic efficiency of the engine in the above described case?

(5 pont)

Deadline expired on January 12, 2015.


Statistics:

41 students sent a solution.
5 points:Asztalos Bogdán, Balogh Menyhért, Bekes Nándor, Blum Balázs, Bugár 123 Dávid, Csathó Botond, Csire Roland, Csorba Benjámin, Di Giovanni Márk, Fehér Balázs, Fekete Balázs Attila, Fekete Panna, Forrai Botond, Fülöp Erik, Holczer András, Jakus Balázs István, Kaposvári Péter, Kasza Bence, Kovács Péter Tamás, Lőrincz Zoltán, Mándoki László, Marosvári Kristóf, Molnár 157 Marcell, Németh Flóra Boróka, Nenezic Patrick Uros, Olosz Balázs, Radnai Bálint, Sal Kristóf, Szántó Benedek, Szász Norbert Csaba, Szentivánszki Soma , Trócsányi Péter, Varju Ákos, Wiandt Péter, Zöllner András.
4 points:Bősze Zsófia.
3 points:4 students.
2 points:1 student.

Problems in Physics of KöMaL, December 2014