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Консультация № 196762
22.10.2019, 12:59
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Здравствуйте! У меня возникли сложности с таким вопросом:
Определить объемную плотность энергии плоской звуковой волны, распространяющейся в кислороде при температуре 170С, если известно, что интенсивность звука равна 2,72×10-3 Вт/м2
Определить объемную плотность энергии плоской звуковой волны, распространяющейся в кислороде при температуре 170С, если известно, что интенсивность звука равна 2,72×10-3 Вт/м2
Обсуждение
26.10.2019, 08:07
общий
это ответ
Здравствуйте, alina.anischenko!
Дано: T=170+273=443 (К) -- температура кислорода; I=2,72*10-3 Вт/м2 -- интенсивность звука.
Определить: <w> -- среднюю объёмную плотность энергии плоской звуковой волны.
Решение
Интенсивность I звука связана со средней объёмной плотностью энергии <w> звукового поля соотношением
где v -- скорость звука в среде [1, с. 101]. Фазовая скорость v продольных волн в газах определяется по формуле
где [$947$]=сp/cV -- показатель адиабаты (отношение удельных теплоёмкостей газа соответственно при постоянных давлении и объёме); R=8,31 Дж/(моль*К) -- молярная газовая постоянная [1, с. 489]; M -- молярная масса газа. В Вашем случае [$947$]=7/5=1,4 [1, с. 141, 145]; M=32*10-3 кг/моль [1, с. 115]. Тогда
Ответ: 6,78*10-6 Дж/м3.
Литература
1. Чертов А. Г., Воробьёв А. А. Задачник по физике. -- М.: Высшая школа, 1988. -- 527 с.
Дано: T=170+273=443 (К) -- температура кислорода; I=2,72*10-3 Вт/м2 -- интенсивность звука.
Определить: <w> -- среднюю объёмную плотность энергии плоской звуковой волны.
Решение
Интенсивность I звука связана со средней объёмной плотностью энергии <w> звукового поля соотношением
I=<w>v,
где v -- скорость звука в среде [1, с. 101]. Фазовая скорость v продольных волн в газах определяется по формуле
v=[$8730$]([$947$]RT/M),
где [$947$]=сp/cV -- показатель адиабаты (отношение удельных теплоёмкостей газа соответственно при постоянных давлении и объёме); R=8,31 Дж/(моль*К) -- молярная газовая постоянная [1, с. 489]; M -- молярная масса газа. В Вашем случае [$947$]=7/5=1,4 [1, с. 141, 145]; M=32*10-3 кг/моль [1, с. 115]. Тогда
<w>=I/v=I[$8730$](M/([$947$]RT))=2,72*10-3*[$8730$](32*10-3/(1,4*8,31*443))[$8776$]6,78*10-6 (Дж/м3).
Ответ: 6,78*10-6 Дж/м3.
Литература
1. Чертов А. Г., Воробьёв А. А. Задачник по физике. -- М.: Высшая школа, 1988. -- 527 с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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