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Консультация № 161024
20.02.2009, 19:58
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Средняя длина свободного пробега молекул водорода при нормальных условиях составляет 0,1 мкм. Определить среднюю длину их свободного пробега при давлении 0,1 мПа, если температура газа остается постоянной.
Средняя длина свободного пробега молекул водорода при нормальных условиях составляет 0,1 мкм. Определить среднюю длину их свободного пробега при давлении 0,1 мПа, если температура газа остается постоянной.
Обсуждение
Неизвестный
20.02.2009, 21:45
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это ответ
Здравствуйте, Dflame!
Средняя длина свободного пробега молекул определяется следующей формулой: [$955$]=1/([$8730$](2)[$149$]Pi[$149$]d2n), где n - концентрация частиц, а d - эффективный диаметр молекулы. Для нас важно, что длина свободного пробега обратно пропорционально концентрации частиц, а значит также обратно пропорционально и давлению (давление и концентрация связаны: P=n[$149$]k[$149$]T). Тогда справедливо равенство, не забывая, что T константа: [$955$]1/[$955$]2=P2/P1, откуда [$955$]2=[$955$]1[$149$]P1/P2=100 метров.
Средняя длина свободного пробега молекул определяется следующей формулой: [$955$]=1/([$8730$](2)[$149$]Pi[$149$]d2n), где n - концентрация частиц, а d - эффективный диаметр молекулы. Для нас важно, что длина свободного пробега обратно пропорционально концентрации частиц, а значит также обратно пропорционально и давлению (давление и концентрация связаны: P=n[$149$]k[$149$]T). Тогда справедливо равенство, не забывая, что T константа: [$955$]1/[$955$]2=P2/P1, откуда [$955$]2=[$955$]1[$149$]P1/P2=100 метров.
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