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Консультация № 153104
05.12.2008, 16:38
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Помогите пожалуйста решить задачу,все решил кроме этой:
Высотная обсерватория расположена на высоте 3250 м над уровнем моря. Найти давление воздуха на этой высоте. Температуру воздуха считать постоянной и равной 5 градусов С. Молярную массу воздуха принять равной 0,029 кг/моль. Давление воздухп на уровне моря равно 760 мм рт.ст.
Высотная обсерватория расположена на высоте 3250 м над уровнем моря. Найти давление воздуха на этой высоте. Температуру воздуха считать постоянной и равной 5 градусов С. Молярную массу воздуха принять равной 0,029 кг/моль. Давление воздухп на уровне моря равно 760 мм рт.ст.
Обсуждение
05.12.2008, 22:55
общий
это ответ
Здравствуйте, Михаил Осипов!
При постоянной температуре плотность газа прямо пропорциональна давлению
Расчитаем отношение плотности к давлению ρ=m/V=p*M/(R*T)
Давление прямо пропорционально весу находящегося выше воздуха, а он с уменьшением высоты (если пренебречь незначительным изменением гравитационного ускорения и разницей между призмой и усечённой пирамидой с вешиной в центре Земли - приближение оправданно, если разница высоты незначительна по сравнению с радиусом Земли) возрастает экспоненциально.
Произодная давления по высоте: dp/dH=ρ*g=p*g*M/(R*T)
Получаем формулу ph=p0*e-Δh*g*M/(R*T) =760 мм рт.ст.*e-3250[i]м[/i]*9,8*0,029 [i]кг/моль[/i]/(8,314 [i]Дж/(моль*К)[/i]*278К) =510 мм рт.ст.
При постоянной температуре плотность газа прямо пропорциональна давлению
Расчитаем отношение плотности к давлению ρ=m/V=p*M/(R*T)
Давление прямо пропорционально весу находящегося выше воздуха, а он с уменьшением высоты (если пренебречь незначительным изменением гравитационного ускорения и разницей между призмой и усечённой пирамидой с вешиной в центре Земли - приближение оправданно, если разница высоты незначительна по сравнению с радиусом Земли) возрастает экспоненциально.
Произодная давления по высоте: dp/dH=ρ*g=p*g*M/(R*T)
Получаем формулу ph=p0*e-Δh*g*M/(R*T) =760 мм рт.ст.*e-3250[i]м[/i]*9,8*0,029 [i]кг/моль[/i]/(8,314 [i]Дж/(моль*К)[/i]*278К) =510 мм рт.ст.
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