# 16atomicsizesagain in 1858 j waterson found a clever

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Unformatted text preview: d mean temperature of the planet, using the formula  radiated heat flux = α σ T4  In  this  formula,  σ  denotes  the  number  5.7  ·  10‐8  W  m‐2  K‐4  (the  “Stefan‐Boltzmann  constant”).   The  formula gives  the  rate  of  energy loss per unit  area  of  the  radiating  body  (here,  the  Earth).    You  needn’t  understand  the  derivation  of  this  formula  but  make sure you do understand how the units work.    a. Using this formula, work out the average temperature at the Earth’s surface and  compare your answer to the actual value of 289K.  b. Using the formula, work out how far from the Sun a planet the size of Earth may  be, as a multiple of de, and still have a mean temperature greater than freezing.  c. Using the fo...
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