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Problem P. 4511. (February 2013)

P. 4511. A sample of monatomic ideal gas is taken through the process shown in the V-T diagram of the figure. At state A the pressure of the gas is p0, its volume is V0 and its temperature is T0=200 K.

a) Draw the graph of the process on the p-V diagram.

b) Find that state E of the process on the p-V diagram for which it is true that the works done by the gas during the processes A\toE and E\toD are equal.

c) What is the temperature of the gas at state E?

d) By what factor the absorbed heat in process A\toE is greater than that of in process E\toD?

(4 pont)

Deadline expired on March 11, 2013.


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

Megoldásvázlat. \(\displaystyle a)\) és \(\displaystyle b)\):

\(\displaystyle c)\) \(\displaystyle T_E=4{,}5\,T_0=900~\)K.

\(\displaystyle d)\) \(\displaystyle Q_{A\rightarrow E}=\frac{9}{5}\cdot Q_{E\rightarrow D}.\)


Statistics:

82 students sent a solution.
4 points:Antalicz Balázs, Barta Szilveszter Marcell, Berta Dénes, Bingler Arnold, Bugár 123 Dávid, Csáky Pál, Csathó Botond, Csóka József, Czipó Bence, Dányi Péter, Dávid Bence, Dinev Georgi, Farkas Tamás, Farkas-Szabó Dominik, Fehér Zsombor, Fekete Panna, Filep Gábor, Fonyó Viktória, Forrai Botond, Garai Zoltán, Garami Anna, Gróf Viktória, Holczer András, Janzer Barnabás, Jenei Márk, Juhász Péter, Kácsor Szabolcs, Kacz Dániel, Kaprinai Balázs, Kenderes Anett, Koch Lilla, Kollarics Sándor, Körei Réka Enikő, Medek Ákos, Molnár Dávid, Olosz Balázs, Öreg Botond, Pristyák Levente, Reitz Angéla, Sal Kristóf, Sárvári Péter, Sisák Mária Anna, Sztilkovics Milán, Tóth Bence, Varga Blanka.
3 points:23 students.
2 points:5 students.
1 point:3 students.
0 point:4 students.
Unfair, not evaluated:2 solutions.

Problems in Physics of KöMaL, February 2013