Mathematical and Physical Journal
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Problem P. 4386. (November 2011)

P. 4386. A sample of ideal gas of some mass is taken through the cyclic process shown in the figure. The temperature of the gas at state A is TA=200 K, and at state C is TC=1800 K.

a) By what factor is the pressure at state B greater than at state D?

b) What temperature belongs to the isotherm which goes through the centre of the circle?

c) Prove with calculations that the temperatures at state B and D are the same.

(3 pont)

Deadline expired on December 12, 2011.

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

Megoldás. \(\displaystyle a)\) \(\displaystyle p_{B}=3\cdot p_{D}.\)

\(\displaystyle b)\) \(\displaystyle T_\text{közép}=4\,T_{A}=800\) K.

\(\displaystyle c)\) \(\displaystyle T_{B}=3\cdot 1 \cdot T_{A}= 1\cdot 3 \cdot T_{A}=T_{D}=600~\)K.


97 students sent a solution.
3 points:65 students.
2 points:13 students.
1 point:8 students.
0 point:9 students.
Unfair, not evaluated:2 solutions.

Problems in Physics of KöMaL, November 2011