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Консультация № 108970
11.11.2007, 20:29
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Здравствуйте. Не могли бы помочь со следующей задачей.
Определить плотность р разреженного водорода, если средняя длина свободного пробега <L> молекул равен 1 см
Спасибо заранее!
Определить плотность р разреженного водорода, если средняя длина свободного пробега <L> молекул равен 1 см
Спасибо заранее!
Обсуждение
Неизвестный
14.11.2007, 10:57
общий
это ответ
Здравствуйте, Спиридонова Вероника Васильевна!
Поскольку никто не ответил, то я попробую.
Сразу предупреждаю, что предлагаю не точное решение, а компиляцию фактов, найденных в интернете.
На странице http://en.wikipedia.org/wiki/Mean_free_path
я нашёл, что величины длины свободного пробега 1см соответствуют среднему вакууму и формула для длины свободного пробега в таком случае 1/(n*Pi*r^2), где r - эффективный радиус молекулы водорода.
Я не знаю из каких ссображений Вам нужно найти размер молекулы, но в соответствии с таблицей на этой же странице концентрация молекул при такой длине свободного пробега порядка 10^14 молекул на см^3.
Это 10^20 1/м^3, т.е. 10^20/Na = 10^20/(6*10^23) = 1.6*10^-4 моля/м^3 или 3.2*10^-4 г/м^3
На сайте http://www.krugosvet.ru/articles/117/1011706/1011706a2.htm упоминается, что для молекулы азота эффективный радиус 2*10^-10 м.
Я полагаю, что размер молекулы водорода сравним.
Поскольку никто не ответил, то я попробую.
Сразу предупреждаю, что предлагаю не точное решение, а компиляцию фактов, найденных в интернете.
На странице http://en.wikipedia.org/wiki/Mean_free_path
я нашёл, что величины длины свободного пробега 1см соответствуют среднему вакууму и формула для длины свободного пробега в таком случае 1/(n*Pi*r^2), где r - эффективный радиус молекулы водорода.
Я не знаю из каких ссображений Вам нужно найти размер молекулы, но в соответствии с таблицей на этой же странице концентрация молекул при такой длине свободного пробега порядка 10^14 молекул на см^3.
Это 10^20 1/м^3, т.е. 10^20/Na = 10^20/(6*10^23) = 1.6*10^-4 моля/м^3 или 3.2*10^-4 г/м^3
На сайте http://www.krugosvet.ru/articles/117/1011706/1011706a2.htm упоминается, что для молекулы азота эффективный радиус 2*10^-10 м.
Я полагаю, что размер молекулы водорода сравним.
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