Mathematical and Physical Journal
for High Schools
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# Problem P. 4599. (January 2014)

P. 4599. A two-litre bottle with a hand sprayer is filled with liquid to three-quarters of the bottle. After pumping it, in the bottle a gauge pressure equal to the ambient air pressure can be reached. The volume fraction of the water-air mixture, which is slowly sprayed out, is 1:10. The temperature and the density of the effused air can be approximated with those of the ambient air.

a) Estimate at least how many times the bottle must be pumped, in order to spray out 0.5 litre water?

b) In how many doses can all the liquid be sprayed out of the bottle?

(5 pont)

Deadline expired on February 10, 2014.

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

Megoldásvázlat. a) 8 pumpálással.

b) 16 adagban.

### Statistics:

 56 students sent a solution. 5 points: Antalicz Balázs, Asztalos Bogdán, Balogh Menyhért, Bencsik Bálint, Berta Dénes, Blum Balázs, Büki Máté, Csathó Botond, Demeter Dániel, Di Giovanni Márk, Fehér Zsombor, Fekete Panna, Forrai Botond, Holczer András, Horicsányi Attila, Hornyák Szabolcs, Horváth 974 Bence Attila, Horváth András Levente, Huszár Emese, Iván Balázs, Janzer Barnabás, Kaposvári Péter, Kovács Péter Tamás, Marosvári Kristóf, Németh 017 András, Rózsa Tibor, Sal Kristóf, Szántó Benedek, Szathmári Balázs, Szilágyi András, Tatár Dániel, Trócsányi Péter, Várda Ernák. 4 points: Bereczki Zoltán, Dinev Georgi, Horváth Botond István, Juhász Péter, Körei Réka Enikő, Németh Flóra Boróka, Sárvári Péter, Tanner Martin, Torma Lili Eszter. 3 points: 2 students. 2 points: 3 students. 1 point: 6 students. 0 point: 2 students. Unfair, not evaluated: 1 solution.

Problems in Physics of KöMaL, January 2014