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Консультация № 175075
Обсуждение
Неизвестный
09.12.2009, 19:32
общий
это ответ
Здравствуйте, futboll.
dp= -g*ρ*dh (минус показывает, что с увеличением высоты давление понижается)
p = ρ*R*T/M = ρ*R*T0(1-a*h)/M отсюда выражаем ρ=M*p/(R*T0*(1-ah))
dp = -g*M*p*dh/(R*T0*(1-a*h))
dp/p = -g*M/(R*T0) *dh/(1-a*h)
После интегрирования получим:
ln(p) = g*M/(R*T0*a)*ln(1-a*h) + c
где с - некая константа, которую находим из начальных условий (h=0, p=p0) :
ln(p0) = g*M/(R*T0*a)*ln(1-a*0) + c = 0+c , c=ln(p0)
ln(p/p0) = g*M/(R*T0*a)*ln(1-a*h)
p=p0*(1-a*h)^[g*M/(R*T0*a)] ((1-a*h) в степени [g*M/r*(R*T0*a)])
p= 10^5 *(1-10^(-4)*5*10^3)^[9.81*28*10^(-3)/(8.31*273*10^(-4))] = 10^5*0.5^1.12 =(приблизительно) 10^5*0.5=0.5 атм
dp= -g*ρ*dh (минус показывает, что с увеличением высоты давление понижается)
p = ρ*R*T/M = ρ*R*T0(1-a*h)/M отсюда выражаем ρ=M*p/(R*T0*(1-ah))
dp = -g*M*p*dh/(R*T0*(1-a*h))
dp/p = -g*M/(R*T0) *dh/(1-a*h)
После интегрирования получим:
ln(p) = g*M/(R*T0*a)*ln(1-a*h) + c
где с - некая константа, которую находим из начальных условий (h=0, p=p0) :
ln(p0) = g*M/(R*T0*a)*ln(1-a*0) + c = 0+c , c=ln(p0)
ln(p/p0) = g*M/(R*T0*a)*ln(1-a*h)
p=p0*(1-a*h)^[g*M/(R*T0*a)] ((1-a*h) в степени [g*M/r*(R*T0*a)])
p= 10^5 *(1-10^(-4)*5*10^3)^[9.81*28*10^(-3)/(8.31*273*10^(-4))] = 10^5*0.5^1.12 =(приблизительно) 10^5*0.5=0.5 атм
Форма ответа
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