Mathematical and Physical Journal
for High Schools
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Problem P. 5080. (December 2018)

P. 5080. By what percent does the average speed of the molecules of a sample of gas increase when the temperature of the gas is increased from \(\displaystyle 27\;{}^\circ\)C to \(\displaystyle 159\;{}^\circ\)C, if the gas is

\(\displaystyle a)\) helium;

\(\displaystyle b)\) hydrogen?

(3 pont)

Deadline expired on January 10, 2019.


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

Megoldás. A molekulák átlagsebessége az abszolút hőmérséklet négyzetgyökével arányos. Így – mindkét gáznál –

\(\displaystyle \frac{v_2}{v_1}=\sqrt{\frac{T_2}{T_1}}=\sqrt{\frac{432}{300}}=1{,}2,\)

vagyis a növekedés 20%-os.


Statistics:

86 students sent a solution.
3 points:69 students.
2 points:11 students.
1 point:3 students.
0 point:2 students.
Not shown because of missing birth date or parental permission:1 solutions.

Problems in Physics of KöMaL, December 2018