Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 3886. (April 2006)

P. 3886. In the end of 2005 when the row broke out over the price of natural gas between Ukraine and Russia, Hungary had a storage of 2.4.109 m3 (standard form) natural gas. In Hungary to store the gas, exhausted gas or oil fields are used which are filled with water (e.g. near Hajdúszoboszló) and the gas is compressed into these reservoirs under a pressure of 200 bar.

a) At what maximum depth can these reservoirs be?

b) In Hungary what is the least useful volume of these reservoirs?

c) The stored gas is mainly methane. Estimate the total mass of the compressed gas.

d) Natural gas is cooled down under the temperature of -160 oC, and condensed. The density of the gas increases to 600 times of the density when the gas is at standard temperature and pressure. How many oil-tankers can be filled with the gas described above if the volume of one tanker is 160 000 cubic metre?

(4 pont)

Deadline expired on May 11, 2006.

### Statistics:

 97 students sent a solution. 4 points: 65 students. 3 points: 15 students. 2 points: 12 students. 1 point: 5 students.

Problems in Physics of KöMaL, April 2006