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Консультация № 198749
26.05.2020, 15:44
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Здравствуйте, уважаемые эксперты!!! Прошу помощи в следующем вопросе:
438*. Исходя из распределения Максвелла по абсолютным скоростям, определить среднее относительное число молекул водорода при Т = 200 К, скорости которых лежат в интервале (198-202) м/с.
448. Определить максимальную скорость V max электронов в металле при абсолютном нуле, если уровень Ферми ЕF = 5,4 эВ. Найти среднее значение квазиимпульса электронов в таком металле.
458*. Рассчитать при Т = 320 К смещение уровня химического потенциала от среднего положения в запрещенной зоне для собственного полупроводника, у которого ∆Eg= 0,68 эВ, me* = 0,32 mp и me*=1,3 me .
438*. Исходя из распределения Максвелла по абсолютным скоростям, определить среднее относительное число молекул водорода при Т = 200 К, скорости которых лежат в интервале (198-202) м/с.
448. Определить максимальную скорость V max электронов в металле при абсолютном нуле, если уровень Ферми ЕF = 5,4 эВ. Найти среднее значение квазиимпульса электронов в таком металле.
458*. Рассчитать при Т = 320 К смещение уровня химического потенциала от среднего положения в запрещенной зоне для собственного полупроводника, у которого ∆Eg= 0,68 эВ, me* = 0,32 mp и me*=1,3 me .
Обсуждение
31.05.2020, 07:36
общий
это ответ
Здравствуйте, uvs!
438. Распределение Максвелла для молекул с наиболее вероятной скоростью v[sub]B[/sub] описывается функцией плотности
Тогда вероятность того, что скорость молекул лежит в диапазоне от v[sub]1[/sub] до v[sub]2[/sub], определяется интегралом
где используются относительные значения скоростей
Здесь наиболее вероятная скорость молекул вещества с молярной массой [$956$] при температуре T определяется выражением
где R = 8.31 Дж/(К[$183$]моль) - универсальная газовая постоянная.
В данном случае v[sub]1[/sub] = 198 м/с, v[sub]2[/sub] = 202 м/с, наиболее вероятная скорость для молекулы водорода ([$956$] = 2 г/моль = 0.002 кг/моль) при температуре T = 200 K составит
м/с.
Тогда вероятность попадания молекулы в интервал скоростей от 198 до 202 м/с (или в относительных значениях от 198/1289.5[$8776$]0.1535 до 202/1289.5[$8776$]0.1566) будет равна
то есть в интервал скоростей (198-202) м/с попадает в среднем одна молекула из 6 тысяч.
438. Распределение Максвелла для молекул с наиболее вероятной скоростью v[sub]B[/sub] описывается функцией плотности
Тогда вероятность того, что скорость молекул лежит в диапазоне от v[sub]1[/sub] до v[sub]2[/sub], определяется интегралом
где используются относительные значения скоростей
Здесь наиболее вероятная скорость молекул вещества с молярной массой [$956$] при температуре T определяется выражением
где R = 8.31 Дж/(К[$183$]моль) - универсальная газовая постоянная.
В данном случае v[sub]1[/sub] = 198 м/с, v[sub]2[/sub] = 202 м/с, наиболее вероятная скорость для молекулы водорода ([$956$] = 2 г/моль = 0.002 кг/моль) при температуре T = 200 K составит
м/с.Тогда вероятность попадания молекулы в интервал скоростей от 198 до 202 м/с (или в относительных значениях от 198/1289.5[$8776$]0.1535 до 202/1289.5[$8776$]0.1566) будет равна
то есть в интервал скоростей (198-202) м/с попадает в среднем одна молекула из 6 тысяч.
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