The icecaps of Greenland and Antarctica contain about 1.75% of the total water (by mass) on the earth’s surface; the oceans contain about 97.5%, and the other 0.75% is mainly groundwater. Suppose the icecaps, currently at an average temperature of about – 30o C, somehow slid into the ocean and melted. What would be the resulting temperature decrease of the ocean? Assume that the average temperature of ocean water is currently 5.00o C.
Solution 121P Step 1: Mass of water on the surface of Earth = M Mass of ice caps M i = 1.75 % of M Mass of water in the ocean M w = 97.5 % of M Temperature of water T W = 5°C Temperature of ice caps T = -30°C I Specific heat of ice c =i2100 J/Kg Specific heat of water c = 4190 J/Kg w 5 Latent heat of ice L = f.34x10 J/Kg Step 2: To find the resulting temperature decrease of ocean Changes in temperature and phase The formula is M w c w T W + M c i T i I + M Li= 0f T W = T - T W T = T - T I I Step 3: Rearranging the above equation, we get the final temperature M w w W + M i i IM iL f T = M w w+ M i i