Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 16 - Temperature and Heat - Problems and Conceptual Exercises - Page 570: 86

Answer

a) $P_{net}=3.9\times 10^{26}W$ b) $solar \space constant=1.4KW/m^2$

Work Step by Step

(a) We can find the required power as follows: $P_{net}=\sigma(4\pi r^2)(T^4-T_S^4)$ We plug in the known values to obtain: $P_{net}=5.67\times 10^{-8}W/(m^2.K^4)4\pi(7.0\times 10^8m)^2[(5773K)^-(3K)^4]$ $P_{net}=3.9\times 10^{26}W$ (b) We can find the solar constant as $solar\space constant=\frac{P}{A}$ We plug in the known values to obtain: $solar\space constant=\frac{3.9\times 10^{26}}{4\pi (1.5\times 10^{11}m)^2}$ $solar \space constant=1.4KW/m^2$
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