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Консультация № 200686
21.04.2021, 10:53
0.00 руб.
1
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
В закрытом сосуде находится азот (молярная масса μ = 28 г/моль) при температуре Т. Найти относительную долю молекул, скорости которых лежат в интервале от <V> до <V> + Δv , где <V> – средняя скорость молекул. Функция распределения Максвелла молекул по скоростям имеет следующий вид: (на фото)
, где – постоянная Больцмана; m0 – масса одной молекулы; число Авогадро NA=6*10^23 моль^–1; универсальная газовая постоянная R= 8,31 Дж/моль Т = 500 К; Δv = 0,1 м/с.
а) 4,2*10^–6; б) 3,7*10^–5; в) 2,5*10^–5 ; г) 1,5*106–4; д) 1,7*10^–3;
В закрытом сосуде находится азот (молярная масса μ = 28 г/моль) при температуре Т. Найти относительную долю молекул, скорости которых лежат в интервале от <V> до <V> + Δv , где <V> – средняя скорость молекул. Функция распределения Максвелла молекул по скоростям имеет следующий вид: (на фото)
, где – постоянная Больцмана; m0 – масса одной молекулы; число Авогадро NA=6*10^23 моль^–1; универсальная газовая постоянная R= 8,31 Дж/моль Т = 500 К; Δv = 0,1 м/с.
а) 4,2*10^–6; б) 3,7*10^–5; в) 2,5*10^–5 ; г) 1,5*106–4; д) 1,7*10^–3;
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Обсуждение
22.04.2021, 12:23
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано:
кг/моль -- молярная масса азота; 
К -- температура азота в сосуде; 
м/с; 
Дж/(моль[$183$]К) -- универсальная газовая постоянная.
Определить:
-- относительную долю молекул азота в сосуде, скорости которых находятся в интервале от 
до 
( -- средняя скорость молекул).
Согласно формуле (Т 17.8) [1, с. 197],
(здесь
-- газовая постоянная; для азота 
(Дж/(кг[$183$]К)); согласно формуле (Т 17.11) [1, с. 198],
Ввиду малости
по сравнению с можно пренебречь изменением функции распределения в этом интервале и заменить дифференциалы приращениями. Тогда получим
Ответ:
Литература
1. Кухлинг Х. Справочник по физике. -- М. Мир, 1982. -- 520 с.
Предлагаю Вам следующее решение задачи.
Дано:
кг/моль -- молярная масса азота; К -- температура азота в сосуде; м/с; Дж/(моль[$183$]К) -- универсальная газовая постоянная.Определить:
-- относительную долю молекул азота в сосуде, скорости которых находятся в интервале от до ( -- средняя скорость молекул).Решение
Согласно формуле (Т 17.8) [1, с. 197],
(здесь
-- газовая постоянная; для азота (Дж/(кг[$183$]К)); согласно формуле (Т 17.11) [1, с. 198],Ввиду малости
по сравнению с можно пренебречь изменением функции распределения в этом интервале и заменить дифференциалы приращениями. Тогда получимОтвет:
Литература
1. Кухлинг Х. Справочник по физике. -- М. Мир, 1982. -- 520 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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