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Homework Statement
The area of the Earth that is covered by water is 361×10[tex]^{6}[/tex] km[tex]^{2}[/tex], the volume of the water is 1.4×10[tex]^{9}[/tex] km[tex]^{3}[/tex], and the mass of the water is 1.4×10[tex]^{21}[/tex] kg. The density of liquid water, as a function of temperature, can be approximated by ρ = 1008 − T /2 kg/m[tex]^{3}[/tex], where T is in C. If the average temperature of the oceans increases by 2 C, and assuming that the area of the oceans remains roughly constant, calculate the expected rise in the level of the oceans due to the temperature change.
Homework Equations
P = Po + [tex]\rho[/tex]gh
PoA +mg = PoA + [tex]\rho[/tex]Agh
p = m/v
The Attempt at a Solution
I tried solving for T since there was no initial temperature provided using p = m/v. I got 1008 - T/2 = 1.4 x 10[tex]^{21}[/tex] / 1.4 x 10[tex]^{12}[/tex] (after correcting the units for volume). This gave me some ridiculous value for T which cannot be correct, and I honestly don't know what to do. No additional equations were provided, but that doesn't mean I can't use them. Any help is greatly appreciated!