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Team 3694 Page 3 of 37 The density of seawater is approximately 1024.8 kg/m; the mass of the Arctic sea ice approximately 2 x 10 kg. Thus, the volume change if all of the Arctic sea ice melted △V=2×10 1009-- 4.84×108m 1024.8 kg Approximating that 360 Gt of water causes a rise of 1 mm in sea level 484×10°m31000g.lGt m39072×10"kg360cn=0.0015mm This small change in sea level is inconsequential for our model, since the accuracy is well below one thousandth of a millimeter We also neglect the contribution of Antarctic Ice Sheet because its overall effect on sea level rise is minimal and difficult to quantify. Between 1978 to1987, satellite-borne microwave radiometer data indicated that arctic ice decreased by 3. 5%, while antara ice showed no statistically significant changes. Cavalieri et al projected minimal melting the Antarctic over the next 50 years. For this reason, only the Greenland Ice Sheet is considered in the model Several models already exist for mass balance and for thermal expansion. However, these models are very complex with respect to many variables, and often disagree with each other(see for example and). We wish to develop a model based processes, as solely a function of temperature and time. In this way the analysis of the effects of the warming is simplified, and the dependence of sea level rise on temperature becomes evident. Furthermore, we develop a model that can be extended to several different temperature forcings, allowing us to compare firsthand the effect of carbon emissions on sea level riseTeam # 3694 Page 3 of 37 The density of seawater is approximately 1024.8 kg/m3 ; the mass of the Arctic sea ice is approximately 2 x 1013 kg . Thus, the volume change if all of the Arctic sea ice melted is given by: 8 3 3 3 13 4.84 10 1024.8 1 1000 1 2 10 m m kg m kg V kg = ×           ∆ = × − (2) Approximating that 360 Gt of water causes a rise of 1 mm in sea level , mm Gt mm kg Gt m kg m 0.0015 360 1 9.072 10 1000 1 4.84 10 3 11 8 3 ⋅ = × × ⋅ ⋅ (3) This small change in sea level is inconsequential for our model, since the accuracy is well below one thousandth of a millimeter. We also neglect the contribution of Antarctic Ice Sheet because its overall effect on sea level rise is minimal and difficult to quantify. Between 1978 to1987, satellite-borne microwave radiometer data indicated that Arctic ice decreased by 3.5%, while Antarctic ice showed no statistically significant changes . Cavalieri et al projected minimal melting in the Antarctic over the next 50 years . For this reason, only the Greenland Ice Sheet is considered in the model. Several models already exist for mass balance and for thermal expansion. However, these models are very complex with respect to many variables, and often disagree with each other (see for example and ). We wish to develop a model based on simple physical processes, as solely a function of temperature and time. In this way the analysis of the effects of the warming is simplified, and the dependence of sea level rise on temperature becomes evident. Furthermore, we develop a model that can be extended to several different temperature forcings, allowing us to compare firsthand the effect of carbon emissions on sea level rise
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