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Задать вопрос экспертам

Консультация № 173752

27.10.2009, 14:46

25.00 руб.

0 1 1

Образование

помогите пожалуйсто.нужно подробное решение)буду очень рада Вашей помощи
При каком давлении средняя длина свободного пробега <лямда> молекул водорода равна 1 см, если температура газа равна 300 К? Эффективный диаметр молекулы водорода равен 0,28 нм.

Обсуждение

давно

Roman Chaplinsky / Химик CH

Модератор
156417
2175

27.10.2009, 16:28

общий

это ответ

Здравствуйте, verifa.
Длина свободного пробега рассчитывается по формуле
[$955$]=1/([$8730$](2)[$963$]n)
где [$963$] - эффективное сечение молекул [$963$]=пd²/4
n - концентрация молекул (количество в еденице объёма) n=N/V
p*V=N*k*T
n=p/(k*T)
подставляем
[$955$]=4*k*T/([$8730$](2)*п*d²*p)
p=4*k*T/([$8730$](2)*п*d²*[$955$])=4*1,38*10^-23Дж/К*300К/([$8730$](2)*п*(2,8*10^-10м)²*0,01м)=4,75 Па

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