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Консультация № 197725
09.02.2020, 23:12
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найти температуру T печи, если известно, что излучение из отверстия в ней площадью S = 8,1 см2 имеет мощность N = 36,4 Вт. Излучение считать близким к излучению абсолютно черного тела.
Найти температуру T печи, если известно, что излучение из отверстия в ней площадью S = 8,1 см2 имеет мощность N = 36,4 Вт. Излучение считать близким к излучению абсолютно черного тела.
Обсуждение
11.02.2020, 15:03
общий
это ответ
Здравствуйте, Alexander18!
Дано: N = 36,4 Вт , S=8,1 см2 = 8,1·10-4 м2.
Вычислить температуру Т печи.
Решение : Применим законы излучения абсолютно черного тела. По определению энергетическая светимость
Rэ = N/S
Здесь N - мощность (поток) излучения, S - площадь излучаемой поверхности.
По закону Стефана-Больцмана энергетическая светимость абсолютно-чёрного тела
Rэ = [$963$]·Т4.
где T - термодинамическая температура (по Кельвину), [$963$] = 5,67·10-8 Вт/(м2·К4) - постоянная Стефана-Больцмана.
Тогда N/S= [$963$]·Т4
Т4 = N/(S·[$963$]) = 36,4 / (8,1·10-4 · 5,67·10-8) = 7,926·1011 К4
T = 4[$8730$](Т4) = 944 °K = 671 °C
Ответ: Температура печи = 671 °C
Решение похожих задач см на rfpro.ru/question/196925 , mydocx.ru/1-57379.html
Дано: N = 36,4 Вт , S=8,1 см2 = 8,1·10-4 м2.
Вычислить температуру Т печи.
Решение : Применим законы излучения абсолютно черного тела. По определению энергетическая светимость
Rэ = N/S
Здесь N - мощность (поток) излучения, S - площадь излучаемой поверхности.
По закону Стефана-Больцмана энергетическая светимость абсолютно-чёрного тела
Rэ = [$963$]·Т4.
где T - термодинамическая температура (по Кельвину), [$963$] = 5,67·10-8 Вт/(м2·К4) - постоянная Стефана-Больцмана.
Тогда N/S= [$963$]·Т4
Т4 = N/(S·[$963$]) = 36,4 / (8,1·10-4 · 5,67·10-8) = 7,926·1011 К4
T = 4[$8730$](Т4) = 944 °K = 671 °C
Ответ: Температура печи = 671 °C
Решение похожих задач см на rfpro.ru/question/196925 , mydocx.ru/1-57379.html
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