Problem 2. Thermal Energy of the Gas Giants: Energy Radiated by Saturn (Palen, et. al., 1st Edition, Chapter 8, problems 40, 62) The equilibrium temperature (Links to an external site.) for Saturn should be 82 K but instead we find an average temperature of 95 K. How much more energy is Saturn radiating into space than it absorbs from the sun? Does this violate the law of conservation of energy? What is the source of this additional energy?

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Problem 2. Thermal Energy of the Gas Giants:  Energy Radiated by Saturn  (Palen, et. al., 1st Edition,  Chapter 8, problems 40, 62)

The equilibrium temperature (Links to an external site.) for Saturn should be 82 K but instead we find an average temperature of 95 K. 

  1. How much more energy is Saturn radiating into space than it absorbs from the sun? 

  2.  Does this violate the law of conservation of energy?

  3. What is the source of this additional energy?

Expert Solution
Step 1

(1)

Given:

The equilibrium temperature of Saturn should be 82 K.

The average temperature of Saturn is 95 K.

Introduction:

Stefan-Boltzmann law is the statement that the total radiant heat power emitted from a surface is proportional to the fourth power of its absolute temperature.

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