Vesiniku rõhk

Ülesanne. Vesiniku molekulide ruutkeskmine kiirus on _{$4000 space m over s$}ja molekulide kontsentratsioon on _{$10 to the power of 25 space m to the power of negative 3 end exponent.$}Arvuta vesiniku rõhk.

Lahendus. Paneme kirja andmed.

Antud:
$square root of stack v with rightwards harpoon with barb upwards on top squared with bar on top end root equals 4000 space m over s n equals 10 to the power of 25 space m to the power of negative 3 end exponent m subscript v e sin i k end subscript equals 2 times 1 comma 66 times 10 to the power of negative 27 end exponent space k g minus negative negative negative negative negative negative negative negative negative negative negative negative p equals ?$

Ülesande andmetesse oleme lisanud vesiniku molekulmassi, mis on kaks aatommassiühikut (vesiniku molekul koosneb kahest aatomist). Edasi asendame suurused ideaalse gaasi rõhu valemisse ning arvutame:

$p equals 1 third n m subscript v e sin i k end subscript stack v squared with bar on top equals 1 third times 10 to the power of 25 space m to the power of negative 3 end exponent times 2 times 1 comma 66 times 10 to the power of negative 27 end exponent space k g times 16 times 10 to the power of 6 space m squared over s squared equals 1 comma 8 times 10 to the power of 5 space P a.$

VASTUS: vesiniku rõhk on_{$1 comma 8 times 10 to the power of 5 space P a.$}