Understanding Our Universe
Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 6, Problem 43QAP
To determine

The average temperature of a planet.

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Soon after Earth was formed, heat released by the decay of radioactive elements raised the average internal temperature from 300 to 3000 K, at about which value it remains today. Assuming an average coefficient of volume expansion of 3.0 * 10-5 K-1, by how much has the radius of Earth increased since the planet was formed?
The average temperature of the atmosphere has increased by 0.4°C over the last thirty years. Estimate how much energy has gone into warming up the planet in this way. Keep in mind that the atmosphere has a mass of 5 × 1018kg, and the specific heat capacity of air is about 1 Jg−1K−1.   How do we get to this answer (2×1021J)
Consider a planet where Solar onstant  = 1360 W /m2 and albedo=0.30. If the planet has a water vapor feedback so that the number of layers n is a function of surface temperature nT = (T – 254.5)/100, what is the equilibrium surface temperature?
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