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# Problem P. 4590. (December 2013)

P. 4590. In a thermally insulated cylinder an easily moveable thermally insulated piston separates two samples of air of volumes of 12 l and 8 l at standard condition. There is a heating element in the 8 l volume part, and the temperature of the gas in it is increased to 200 oC.

a) What are the volumes and the pressures of the two samples of gas at the end of the process?

b) What will the temperature of the gas in the originally 12 l part be at the end of the process?

c) How much heat is absorbed by the gas which is heated?

d) By what amount do the internal energies of the two samples of gas change?

(5 pont)

Deadline expired on January 10, 2014.

Sorry, the solution is available only in Hungarian. Google translation

Megoldásvázlat. $\displaystyle a)$ A térfogatok: 9,7 liter és 10,3 liter; a nyomás $\displaystyle 1{,}35\cdot10^5$ Pa.

$\displaystyle b)$ 297 K=$\displaystyle 24~^\circ$C.

$\displaystyle c)$ $\displaystyle Q=$1,73 kJ.

$\displaystyle d)$ 0,26 kJ és 1,47 kJ.

### Statistics:

 64 students sent a solution. 5 points: Alabér Ádám, Balogh Menyhért, Berczi Benjámin, Berta Dénes, Blum Balázs, Bugár 123 Dávid, Büki Máté, Csathó Botond, Di Giovanni Márk, Dinev Georgi, Fehér Zsombor, Fekete Panna, Forrai Botond, Holczer András, Horicsányi Attila, Janzer Barnabás, Juhász Péter, Kaposvári Péter, Koncz Imre, Lőrincz Zoltán, Mándoki László, Marosvári Kristóf, Molnár 128 Szilárd, Németh Flóra Boróka, Németh Gergely, Olosz Balázs, Sági Olivér, Sal Kristóf, Sárvári Péter, Stein Ármin, Szántó Benedek, Szász Norbert Csaba, Szilágyi András, Varju Ákos, Virágh Anna, Wiandt Péter. 4 points: Béda Ármin, Demeter Dániel, Dombai Tamás, Erdei Ákos, Kasó Ferenc, Kasza Bence, Öreg Botond, Rózsa Tibor, Szathmári Balázs. 3 points: 3 students. 2 points: 8 students. 1 point: 4 students. 0 point: 2 students. Unfair, not evaluated: 2 solutions.

Problems in Physics of KöMaL, December 2013