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Консультация № 181338
13.12.2010, 23:55
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Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
В воде всплывает пузырек воздуха. Когда он находился на глубине 3 м его объем составлял 5 мм3. Каков будет объем пузырька у поверхности воды? Атмосферное давление нормальное, процесс считать изотермическим.
В воде всплывает пузырек воздуха. Когда он находился на глубине 3 м его объем составлял 5 мм3. Каков будет объем пузырька у поверхности воды? Атмосферное давление нормальное, процесс считать изотермическим.
Обсуждение
14.12.2010, 04:56
общий
это ответ
Здравствуйте, Екатерина!
В момент времени, когда пузырек находился на глубине давление равнялось сумме атмосферного и гидростатического:
P=P0+[$961$]*g*h
У поверхности воды давление равно атмосферному, тогда для данного пузырька воздуха будем иметь:
(P0+[$961$]*g*h)*V1=P0*V2 (данное выражение справедливо, так как по условию задачи процесс можно считать изотермическим)
Выразим искомую величину:
V2=V1*[(P0+[$961$]*g*h)/P0]=V1*(1+[$961$]*g*h/P0)
Вычислим искомую величину:
V2=5*10-9*(1+103*9.8*3/105)=6.47*10-9 (м3)=6.47 (мм3)
Будут вопросы обращайтесь в минифорум.
Удачи
В момент времени, когда пузырек находился на глубине давление равнялось сумме атмосферного и гидростатического:
P=P0+[$961$]*g*h
У поверхности воды давление равно атмосферному, тогда для данного пузырька воздуха будем иметь:
(P0+[$961$]*g*h)*V1=P0*V2 (данное выражение справедливо, так как по условию задачи процесс можно считать изотермическим)
Выразим искомую величину:
V2=V1*[(P0+[$961$]*g*h)/P0]=V1*(1+[$961$]*g*h/P0)
Вычислим искомую величину:
V2=5*10-9*(1+103*9.8*3/105)=6.47*10-9 (м3)=6.47 (мм3)
Будут вопросы обращайтесь в минифорум.
Удачи
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