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Консультация № 109975
18.11.2007, 13:14
0.00 руб.
0
1
1
Здравсвуйте.Помогите пожалуйста решить задачи по физике:
1)Средняя квадратичная скорость молекул некоторого газа 200 м/с.Давление газа равно 2,5*10^5 Па.Найти плотность газа при этих условиях
2)Некоторый идеальный трехатомный газ обладает внутренней энергией,равной 1000 Дж.Определить вероятную скорость молекул газа.
1)Средняя квадратичная скорость молекул некоторого газа 200 м/с.Давление газа равно 2,5*10^5 Па.Найти плотность газа при этих условиях
2)Некоторый идеальный трехатомный газ обладает внутренней энергией,равной 1000 Дж.Определить вероятную скорость молекул газа.
Обсуждение
Неизвестный
19.11.2007, 08:18
общий
это ответ
Здравствуйте, Lesha_faq!
Здравсвуйте.Помогите пожалуйста решить задачи по физике:
1)Средняя квадратичная скорость молекул некоторого газа 200 м/с.Давление газа равно 2,5*10^5 Па.Найти плотность газа при этих условиях
Средняя энергия молекул m<v<sup>2</sup>>/2 = (3/2)kT. Отсюда T = m<v<sup>2</sup>>/(3k)
Если мы теперь домножим числитель и знаменатель на N<sub>A</sub> число Авогадро, то mN<sub>A</sub> = μ и kN<sub>A</sub> = R = 8,31
T = μ<v<sup>2</sup>>/(3R)
По закону Менделеева-Клапейрона PV=(m/μ)RT
Откуда плотность ρ = m/V = μP/(RT) = μP/(R μ<v<sup>2</sup>>/(3R)) = 3P/<v<sup>2</sup>>
2)Некоторый идеальный трехатомный газ обладает внутренней энергией,равной 1000 Дж.Определить вероятную скорость молекул газа.
Наиболее вероятная скорость рассчитывается по формуле v<sub>p</sub> = √(2RT/μ)
Внутренняя энергия трёхатомного газа U = 3(m/μ)RT.
Откуда RT/μ = U/(3m) и v<sub>p</sub> = √((2/3)U/m)
Для решения не хватает данных. Это видно даже из соображений размерности. Я думаю, что там указана, либо величина энергии на килограмм, либо где-то сказано, что "килограмм газа обладает...".
Здравсвуйте.Помогите пожалуйста решить задачи по физике:
1)Средняя квадратичная скорость молекул некоторого газа 200 м/с.Давление газа равно 2,5*10^5 Па.Найти плотность газа при этих условиях
Средняя энергия молекул m<v<sup>2</sup>>/2 = (3/2)kT. Отсюда T = m<v<sup>2</sup>>/(3k)
Если мы теперь домножим числитель и знаменатель на N<sub>A</sub> число Авогадро, то mN<sub>A</sub> = μ и kN<sub>A</sub> = R = 8,31
T = μ<v<sup>2</sup>>/(3R)
По закону Менделеева-Клапейрона PV=(m/μ)RT
Откуда плотность ρ = m/V = μP/(RT) = μP/(R μ<v<sup>2</sup>>/(3R)) = 3P/<v<sup>2</sup>>
2)Некоторый идеальный трехатомный газ обладает внутренней энергией,равной 1000 Дж.Определить вероятную скорость молекул газа.
Наиболее вероятная скорость рассчитывается по формуле v<sub>p</sub> = √(2RT/μ)
Внутренняя энергия трёхатомного газа U = 3(m/μ)RT.
Откуда RT/μ = U/(3m) и v<sub>p</sub> = √((2/3)U/m)
Для решения не хватает данных. Это видно даже из соображений размерности. Я думаю, что там указана, либо величина энергии на килограмм, либо где-то сказано, что "килограмм газа обладает...".
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