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Консультация № 196631
10.10.2019, 10:39
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Оцените во сколько раз среднее расстояние между молекулами газа при н. у. (p = 10 в 5 степени Па, T =273 К)
больше размера (диаметра) самих молекул. Диаметр молекул принять равным d = 3*10 в минус 10 степени м.
Оцените во сколько раз среднее расстояние между молекулами газа при н. у. (p = 10 в 5 степени Па, T =273 К)
больше размера (диаметра) самих молекул. Диаметр молекул принять равным d = 3*10 в минус 10 степени м.
Обсуждение
11.10.2019, 17:54
общий
это ответ
Здравствуйте, irinasoboleva76!
Дано: d=3*10-10 м -- размер молекул.
Определить: l/d -- отношение среднего расстояния l между молекулами к диаметру молекулы при нормальных условиях (давление p=101325 Па, абсолютная температура T=273,16 К -- уточнено, согласно [1, с. 349]).
Решение
Согласно [2, с. 446 -- 447], в одном моль идеального газа содержится NA[$8776$]6,022*1023 молекул, а объём одного моль идеального газа при нормальных условиях занимает объём V[$8776$]22,41*10-3 м3. Стало быть, на одну молекулу идеального газа приходится объём
Предположим, что этот объём сосредоточен в кубе со стороной a=3[$8730$](Vм)=3[$8730$](3,72*10-26)[$8776$]3,34*10-9 (м). Предположим также, что среднее расстояние l между молекулами газа равно длине стороны этого куба, то есть l=a; тогда
Ответ: приблизительно 11,1.
Литература
1. Сена Л. А. Единицы физических величин и их размерности. -- м.: Наука, 1988. -- 432 с.
2. Элементарный учебник физики. В 3 т. Т. 1. / Под ред. Г. С. Ландсберга. -- М.: "ШРАЙК", "В. РОДЖЕР", 1995. -- 608 с.
Дано: d=3*10-10 м -- размер молекул.
Определить: l/d -- отношение среднего расстояния l между молекулами к диаметру молекулы при нормальных условиях (давление p=101325 Па, абсолютная температура T=273,16 К -- уточнено, согласно [1, с. 349]).
Решение
Согласно [2, с. 446 -- 447], в одном моль идеального газа содержится NA[$8776$]6,022*1023 молекул, а объём одного моль идеального газа при нормальных условиях занимает объём V[$8776$]22,41*10-3 м3. Стало быть, на одну молекулу идеального газа приходится объём
Vм=V/NA=(22,41*10-3)/(6,022*1023)[$8776$]3,72*10-26 (м3).
Предположим, что этот объём сосредоточен в кубе со стороной a=3[$8730$](Vм)=3[$8730$](3,72*10-26)[$8776$]3,34*10-9 (м). Предположим также, что среднее расстояние l между молекулами газа равно длине стороны этого куба, то есть l=a; тогда
l/d=a/d=(3,34*10-9)/(3*10-10)[$8776$]11,1.
Ответ: приблизительно 11,1.
Литература
1. Сена Л. А. Единицы физических величин и их размерности. -- м.: Наука, 1988. -- 432 с.
2. Элементарный учебник физики. В 3 т. Т. 1. / Под ред. Г. С. Ландсберга. -- М.: "ШРАЙК", "В. РОДЖЕР", 1995. -- 608 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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