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bwilson4web
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Homework Statement
I am attempting to replicate the IPCC estimates of the amount of sea level rise due to thermal effects on the seawater.
The earth, black-body temperature is 16C but there are projections of a 1C increase in less than 100 years. Ignoring ice melt and land flooding, how much higher would the sea level rise from a 1C increase in the top meter of the oceans?
Homework Equations
6,371,000 m - Earth radius
71% - sea coverage
A = 4πr*r - surface area of sphere
.000223 m/mK - sea water coefficient of expansion @16C
The Attempt at a Solution
a) calculated Earth surface area, 5.10064E+14 m**2
b) remove the 71% land, 3.62146E+14 m**2
c) calculate the sea only, Earth radius, 5,368,300 m
d) calculate the sea only circumference, 33,730,023.8 m @16C
e) raise temperature 1C and calculate new circumference, 33,737,545.6 m @17C
f) calculate the sea only, Earth radius @17C, 5,369,497 m
g) calculate the change, 5,369,497 - 5,368,300 = 1,197 m
This number is two orders of magnitude greater than projected sea level increases, ~1-2 m, that already includes land-ice melt. It would still take substantial flooding to reduce the thermal sea level rise to the projected levels.
The only out might be to add the land area previously taken out to shrink the globe to a water-only earth. But back of the envelope suggests this won't reduce the temperature induced, sea level change enough to get back to the IPCC projected levels. Only flooding the land gives a chance of adjusting the ratios.
Thanks,
Bob Wilson