Problem P. 4408. (January 2012)
P. 4408. Somewhere in the desert there is a cylinder shaped vessel containing gas, and at the top of the vessel there is an easily moveable piston which separates the gas inside and the ambient air without any leakage. Early in the morning when the temperature is 0 oC the bottom part of the piston is at a height of 2 m, measured from the bottom of the cylinder. During the military attack later in the morning a bullet accidently made a hole in the cylinder at a height of 2.2 m. What fraction of the mass of the gas leaks out if during the day the temperature can increase even to 60 oC?
Deadline expired on February 10, 2012.
Sorry, the solution is available only in Hungarian. Google translation
Megoldás. A gáz 10 százaléka távozik.
144 students sent a solution. 4 points: 108 students. 3 points: 20 students. 2 points: 5 students. 1 point: 2 students. 0 point: 1 student. Unfair, not evaluated: 8 solutions.