Since the 1980's a total of 20 x 10^22 J of additional energy has been absorbed by the worlds oceans. This is 90% of the additional heat our planet is storing as a consequence of global warming. The surface area of the worlds oceans is 361,900,000 km^2 and we will assume this area has not significantly changed as a consequence of global warming. What is the increase in sea level rise as a consequence of this heat? Take the coefficient of thermal expansion for water to be 0.000120 oC^-1, the specific heat capacity of water to be 4190 J kg^-1 K^-1, and the density of sea water to be 1029 kg/m3.
The Attempt at a Solution
My guess is that since the area doesn't change, the percentage change of volume equals the percentage change of height. However, I really don't know where to go considering that the problem only gives area. You cannot use m=dv to solve, because mass and volume are both unknown. Since area is constant, if I simply plug that into the equation, I get ΔT = (20*10^22 J)/((361900000km^2)(1029 kg/m^3)(4190 Jkg^-1K^-1)) = 128177564º, which is clearly incorrect and unreasonable. Even if you go from here assuming this is just a question for concepts where numbers don't matter, ΔV=VβΔT=(361900000km^2)(.00012ºC^-1)(128177564º)= a huge number that is incredibly unreasonable. What am I missing here?