We calculate temperature change due to heat transfer with
this equation:
Q = m x c x delta
T
Where Q stands for the enegry transferred, m is the mass
of the material, c is the specific heat capacity of the material, and delta T is the
change in temperature.
In this case, c = 4.186 joules per
gram per degree C
Delta T =
1
We need to calculate the mass of the oceans in grams for
m
1 Km = 1 x 10^5 cm; we cube this to
get:
1 Km^3 = 1 x 10^15
cm^3
Then we can do the conversion
-
137 x 10^7 Km^3 x 1 x 10^15 cm^3/1 Km^3 =
1.37x10^24
Now, back to Q = m X c X delta
T
Q = 1.37x10^24 x 4.186 x 1
Q
= 5.735x10^24 Joules
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