1. Kittel, Ch4-2. Surface temperature of the Sun. The value of the total radiant energy flux density at the earth from the Sun normal to the incident rays is called the solar constant of the Earth. The observed value integrated over all emission wavelengths and refereed to the mean Earth-Sun distance is: solar constant = 0.136 J s¹¹ cm². (49) (a) Show that the total rate of energy generation of the Sun is 4x1026 Js¹. (b) From this result and the Stefan-Bolzmann constant o = 5.67x10-¹2 Js cm2K, show that the effective temperature of the surface of the Sun treated as a black body is T= 6000K. Take the distance of the Earth from the Sun as 1.5x10¹3 cm and the radius of the Sun as 7x10¹⁰ cm.
1. Kittel, Ch4-2. Surface temperature of the Sun. The value of the total radiant energy flux density at the earth from the Sun normal to the incident rays is called the solar constant of the Earth. The observed value integrated over all emission wavelengths and refereed to the mean Earth-Sun distance is: solar constant = 0.136 J s¹¹ cm². (49) (a) Show that the total rate of energy generation of the Sun is 4x1026 Js¹. (b) From this result and the Stefan-Bolzmann constant o = 5.67x10-¹2 Js cm2K, show that the effective temperature of the surface of the Sun treated as a black body is T= 6000K. Take the distance of the Earth from the Sun as 1.5x10¹3 cm and the radius of the Sun as 7x10¹⁰ cm.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![1. Kittel, Ch4-2. **Surface temperature of the Sun.** The value of the total radiant energy flux density at the earth from the Sun normal to the incident rays is called the solar constant of the Earth. The observed value integrated over all emission wavelengths and referred to the mean Earth-Sun distance is:
\[
\text{solar constant} = 0.136 \, \text{J s}^{-1}\, \text{cm}^{-2}.
\]
\[(49)\]
(a) Show that the total rate of energy generation of the Sun is \(4 \times 10^{26} \, \text{J s}^{-1}.\) (b) From this result and the Stefan-Boltzmann constant \(\sigma_B = 5.67 \times 10^{-12} \, \text{J s}^{-1}\text{cm}^{-2}\text{K}^{-4},\) show that the effective temperature of the surface of the Sun treated as a black body is \(T \approx 6000 \, \text{K}.\) Take the distance of the Earth from the Sun as \(1.5 \times 10^{13} \, \text{cm}\) and the radius of the Sun as \(7 \times 10^{10} \, \text{cm}.\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d2fdd51-a813-4b36-89e9-f9581acfc2ee%2Fd31331cd-fd58-47a7-a620-5243616dcff2%2Fjzfpm0f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Kittel, Ch4-2. **Surface temperature of the Sun.** The value of the total radiant energy flux density at the earth from the Sun normal to the incident rays is called the solar constant of the Earth. The observed value integrated over all emission wavelengths and referred to the mean Earth-Sun distance is:
\[
\text{solar constant} = 0.136 \, \text{J s}^{-1}\, \text{cm}^{-2}.
\]
\[(49)\]
(a) Show that the total rate of energy generation of the Sun is \(4 \times 10^{26} \, \text{J s}^{-1}.\) (b) From this result and the Stefan-Boltzmann constant \(\sigma_B = 5.67 \times 10^{-12} \, \text{J s}^{-1}\text{cm}^{-2}\text{K}^{-4},\) show that the effective temperature of the surface of the Sun treated as a black body is \(T \approx 6000 \, \text{K}.\) Take the distance of the Earth from the Sun as \(1.5 \times 10^{13} \, \text{cm}\) and the radius of the Sun as \(7 \times 10^{10} \, \text{cm}.\)
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