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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