D1555982 stringlengths 2 8 | https://answers.yahoo.com/question/index?qid=20071007114826AAwCFvR stringlengths 14 573 | The hot glowing surfaces of stars emit energy in the form of electromagnetic radiation.? stringlengths 1 39.2k ⌀ | Science & Mathematics Physics The hot glowing surfaces of stars emit energy in the form of electromagnetic radiation.? It is a good approximation to assume that the emissivity e is equal to 1 for these surfaces. Find the radius of the star Rigel, the bright blue star in the constellation Orion that radiates energy at a rate of 2.7 x 10^32 W and has a surface temperature of 11,000 K. Assume that the star is spherical. Use σ =... show more Follow 3 answers Answers Relevance Rating Newest Oldest Best Answer: Stefan-Boltzmann law states that the energy flux by radiation is proportional to the forth power of the temperature: q = ε · σ · T^4 The total energy flux at a spherical surface of Radius R is Q = q·π·R² = ε·σ·T^4·π·R² Hence the radius is R = √ ( Q / (ε·σ·T^4·π) ) = √ ( 2.7x10+32 W / (1 · 5.67x10-8W/m²K^4 · (1100K)^4 · π) ) = 3.22x10+13 m Source (s):http://en.wikipedia.org/wiki/Stefan_bolt...schmiso · 1 decade ago0 18 Comment Schmiso, you forgot a 4 in your answer. Your link even says it: L = 4pi (R^2)sigma (T^4). Using L, luminosity, as the energy in this problem, you can find the radius R by doing sqrt (L/ (4pisigma (T^4)). Hope this helps everyone. Caroline · 4 years ago4 1 Comment (Stefan-Boltzmann law) L = 4pi*R^2*sigma*T^4 Solving for R we get: => R = (1/ (2T^2)) * sqrt (L/ (pi*sigma)) Plugging in your values you should get: => R = (1/ (2 (11,000K)^2)) *sqrt ( (2.7*10^32W)/ (pi * (5.67*10^-8 W/m^2K^4))) R = 1.609 * 10^11 m? · 3 years ago0 1 Comment Maybe you would like to learn more about one of these? Want to build a free website? Interested in dating sites? Need a Home Security Safe? How to order contacts online? stringlengths 2 1.32M ⌀ |
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