Mathematical and Physical Journal
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# Problem P. 4343. (April 2011)

P. 4343. The three cylinders shown in the figure have the same cross section. In the cylinders there is the same type of ideal gas, and all the cylinders are closed with easily movable pistons of the same mass. The pistons are rigidly attached to each other. Initially the three samples of gas have the same density, the same temperature of t=27 oC, and the same height of =20 cm.

How much do the pistons rise if the temperature of the gas in the middle cylinder is increased to t'=117 oC, while the temperature of the gas in the two bordering cylinders is kept constant?

(4 pont)

Deadline expired on May 10, 2011.

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

Megoldás. A dugattyúk 2 cm-rel emelkedtek meg.

### Statistics:

 71 students sent a solution. 4 points: Agócs Fruzsina, Antalicz Balázs, Béres Bertold, Csóka József, Czipó Bence, Dinev Georgi, Filep Gábor, Fonyó Viktória, Fülep Andrea , Garami Anna, Gróf Gábor, Hegyfalvi Csaba, Horváth 721 Klaudia, Horváth Dániel, Janzer Barnabás, Jenei Márk, Juhász Péter, Kollarics Sándor, Kovács 255 Márton, Láng Hanga, Maknics András, Mázik László, Medek Ákos, Nagy 111 Miklós, Nagy Zsuzsika, Papp Roland, Pataki Bálint Ármin, Sárvári Péter, Szabó 928 Attila, Szegedi Domonkos, Szélig Áron, Szemes Gábor Bence, Szigeti Bertalan György, Szilágyi 585 Dezső, Tóth Balázs, Varga 515 Balázs, Varga Zoltán Attila, Vuchetich Bálint, Zsámboki Richárd. 3 points: Csáky Pál, Czigány Máté Gábor, Hoffmann Hanna, Iglói Gábor, Pető János, Táczi István, Ürge László. 2 points: 12 students. 1 point: 6 students. 0 point: 5 students. Unfair, not evaluated: 2 solutions.

Problems in Physics of KöMaL, April 2011