Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4741. (May 2015)

P. 4741. A 20-litre gas cylinder just runs out'' of gas at the foot of a high hill next to the seashore. Then immediately the valve is closed, and the gas cylinder is carried up to the research laboratory at the top of the hill. Here some gas from the cylinder can again be used. When finally the gas cylinder is exhausted again its mass is measured, and it turns out that due to using the gas at the top of the hill its mass decreased by 4.1 grams. The air pressure at the top of the hill is 32 kPa less than at sea level. Both at the sea level and at the laboratory the temperature of the gas is $\displaystyle 27~{}^\circ$C, and the density of air at sea level is 1.2 kg/m$\displaystyle {}^3$.

$\displaystyle a)$ What type of gas was in the cylinder?

$\displaystyle b)$ How high is the hill?

(4 pont)

Deadline expired on June 10, 2015.

Statistics:

 31 students sent a solution. 4 points: Asztalos Bogdán, Bartók Imre, Berta Dénes, Boldizsár Bálint, Bugár 123 Dávid, Csire Roland, Csorba Benjámin, Fehér Balázs, Fekete Balázs Attila, Jakus Balázs István, Marosvári Kristóf, Marozsák Tóbiás , Páhoki Tamás, Pszota Máté, Sallai Krisztina, Szántó Benedek, Tanner Martin, Varga-Umbrich Eszter, Vida Máté Gergely. 3 points: Bencsik Bálint, Horváth Péter, Iván Balázs, Kormányos Hanna Rebeka, Molnár Elizabet, Németh Flóra Boróka, Wiandt Péter. 2 points: 5 students.

Problems in Physics of KöMaL, May 2015