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 T_{A}=200 K, and at state C is T_{C}=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 12 December 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.
Statistics:
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. 
