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Консультация № 174267
15.11.2009, 22:38
0.00 руб.
0
5
1
Уважаемые эксперты,прошу помощи у Вас,так как больше не у кого.
1) На сколько уменьшится атмосферное давление р=100 кПа при подъеме наблюдателя над поверхностью Земли на высоту h=100 м? Считать, что температура воздуха равна 290 К и не изменяется с высотой.
2)Используя функцию распределения молекул по скорости, получить функцию, выражающую распределение молекул по относительным скоростям u (u=v/vВ).
3)При каком давлении р средняя длина свободного пробега <l> молекул равна 1 м, если температура газа равна 300 К.
Заранее спасибо!
1) На сколько уменьшится атмосферное давление р=100 кПа при подъеме наблюдателя над поверхностью Земли на высоту h=100 м? Считать, что температура воздуха равна 290 К и не изменяется с высотой.
2)Используя функцию распределения молекул по скорости, получить функцию, выражающую распределение молекул по относительным скоростям u (u=v/vВ).
3)При каком давлении р средняя длина свободного пробега <l> молекул равна 1 м, если температура газа равна 300 К.
Заранее спасибо!
Обсуждение
16.11.2009, 01:29
общий
это ответ
Здравствуйте, Горбунов Кирилл Дмитриевич.
1)
Изменение давления, в соответствии с Барометрической формулой
p=p0*exp(-hgM/RT)
[$916$]p=p-p0=p0(exp(-hgM/RT)-1), где g=9.8 Н/кг, M=0,029 кг/моль - молярная масса воздуха, R=8,31 Дж/моль*К - универсальная газовая постоянная.
После подстановки и расчетов получаем
[$916$]p=-1.17 кПа
3)
Дано:
<l>=1 м
Т=300 К
d=0.28*10-9 м
Найти: р
Решение:
Средняя длина свободного пробега молекул
<l>=1/([$8730$]2*pi*n*d2)
[$8658$] Концентрация молекул
n=1/([$8730$]2*pi*<l>*d2)
Зависимость давления газа от температуры
p=nkT [$8658$]
Подставим значение концентрации
Получим
p=kT/([$8730$]2*pi*<l>*d2), k=1.38*10-23 Дж/К - постоянная Больцмана, pi=3.14
После подстановки получаем
p=11,9*10-3 Па = 11,9 мПа
Удачи
1)
Изменение давления, в соответствии с Барометрической формулой
p=p0*exp(-hgM/RT)
[$916$]p=p-p0=p0(exp(-hgM/RT)-1), где g=9.8 Н/кг, M=0,029 кг/моль - молярная масса воздуха, R=8,31 Дж/моль*К - универсальная газовая постоянная.
После подстановки и расчетов получаем
[$916$]p=-1.17 кПа
3)
Дано:
<l>=1 м
Т=300 К
d=0.28*10-9 м
Найти: р
Решение:
Средняя длина свободного пробега молекул
<l>=1/([$8730$]2*pi*n*d2)
[$8658$] Концентрация молекул
n=1/([$8730$]2*pi*<l>*d2)
Зависимость давления газа от температуры
p=nkT [$8658$]
Подставим значение концентрации
Получим
p=kT/([$8730$]2*pi*<l>*d2), k=1.38*10-23 Дж/К - постоянная Больцмана, pi=3.14
После подстановки получаем
p=11,9*10-3 Па = 11,9 мПа
Удачи
5
Спасибо)
Об авторе:
С уважением
shvetski
С уважением
shvetski
16.11.2009, 01:43
общий
Горбунов Кирилл Дмитриевич:
А в задаче 3, по-моему, не хватает названия газа - нужен эффективный диаметр
А в задаче 3, по-моему, не хватает названия газа - нужен эффективный диаметр
Об авторе:
С уважением
shvetski
С уважением
shvetski
Неизвестный
16.11.2009, 19:57
общий
Shvetski:
Сорри,старый сборник.Взял новый,написано что Эффективный диаметр равен 0.28 нм.
Сорри,старый сборник.Взял новый,написано что Эффективный диаметр равен 0.28 нм.
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