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Консультация № 188485
20.12.2015, 15:15
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе: Определить массу газа m, заключенного в вертикальном цилиндрическом сосуде. Площадь основания S, высота h. Давление газа на уровне нижнего основания цилиндра p, молярная масса газа m. Считать, что Т и g не зависят от высоты.
Обсуждение
20.12.2015, 20:55
общий
это ответ
Здравствуйте, gamayunov.nikita!
Разница давлений в верхнем и нижнем концах цилиндра соответствует весу газа, приходящемуся на единицу площади.
p0-ph=mg/S
Найти же зависимость давления от высоты можно, продифференцировав это выражение
-dp/dH=g/S[$183$]dm/dH=gpM/SRT[$183$]dV/dH=gpM/SRT[$183$]S=p[$183$]gM/RT
Решением такого дифференциального уравнения является экспоненциальна функция
p=p0e-gMH/RT
известная как барометрическая формула
p0-ph=p0[$183$](1-e-gMh/RT)=mg/S
m=Sp0[$183$](1-e-gMh/RT)/g
Разница давлений в верхнем и нижнем концах цилиндра соответствует весу газа, приходящемуся на единицу площади.
p0-ph=mg/S
Найти же зависимость давления от высоты можно, продифференцировав это выражение
-dp/dH=g/S[$183$]dm/dH=gpM/SRT[$183$]dV/dH=gpM/SRT[$183$]S=p[$183$]gM/RT
Решением такого дифференциального уравнения является экспоненциальна функция
p=p0e-gMH/RT
известная как барометрическая формула
p0-ph=p0[$183$](1-e-gMh/RT)=mg/S
m=Sp0[$183$](1-e-gMh/RT)/g
4
Сложновато для понимания
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