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Консультация № 174648
28.11.2009, 18:31
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Здравствуйте уважаемые эксперты! Помогите пожалуйста вывести формулу для решения след. задач:
1.Масса m каждой из пылинок, взвешенных в воздухе, равна 10-18 г. Отношение концентрации n1
пылинок на высоте h1=1 м. к концентрации их на высоте h0=0 равно 0.787. Температура воздуха
Т=300 К. Найти по этим данным значение числа Авогадро NA.
2.Какое изменение высоты соответствует изменению температуры атмосферы на 1°С, если у
поверхности Земли температура 0°С?
Заранее большое спасибо!!!!!!!!!!
1.Масса m каждой из пылинок, взвешенных в воздухе, равна 10-18 г. Отношение концентрации n1
пылинок на высоте h1=1 м. к концентрации их на высоте h0=0 равно 0.787. Температура воздуха
Т=300 К. Найти по этим данным значение числа Авогадро NA.
2.Какое изменение высоты соответствует изменению температуры атмосферы на 1°С, если у
поверхности Земли температура 0°С?
Заранее большое спасибо!!!!!!!!!!
Обсуждение
Неизвестный
29.11.2009, 12:44
общий
По второму вопросу необходимы уточнения (ограничения по высоте?) ибо смотри Атмосфера Земли - не все так просто
Первая задача проще. Она на применение распределения Авогадро:
n(h) [$8801$] n = n(0) e-mgh/(kT).
После логарфмирования:
ln(n/n(0)) = - mgh/(kT).
k = - mgh/(T·ln(n/n(0)) = mgh/(T·ln(n(0)/n)
m = 1·10-18 г = 1·10-21 кг.
k = - 1·10-21·9,8·1 /(300·ln(0,787)) кг·м/с2·м/К = 1,36·10-23 Дж/К
Почти табличное значение (1,38·10-23 Дж/К, но, кажется я не ошибся в расчетах. Возможно, надо взять другое значение ускорения свободного падения g.
Смотри: Ускорение_свободного_падения)
Первая задача проще. Она на применение распределения Авогадро:
n(h) [$8801$] n = n(0) e-mgh/(kT).
После логарфмирования:
ln(n/n(0)) = - mgh/(kT).
k = - mgh/(T·ln(n/n(0)) = mgh/(T·ln(n(0)/n)
m = 1·10-18 г = 1·10-21 кг.
k = - 1·10-21·9,8·1 /(300·ln(0,787)) кг·м/с2·м/К = 1,36·10-23 Дж/К
Почти табличное значение (1,38·10-23 Дж/К, но, кажется я не ошибся в расчетах. Возможно, надо взять другое значение ускорения свободного падения g.
Смотри: Ускорение_свободного_падения)
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