Assume, the average radiation intake of the planet earth increases by 120 W/m² momentarily. The planet therefore leaves its thermal equilibrium and starts heating up (neglect additional thermal losses). The total weight of the planet is 6 x 1024 kg. Assume, that we have 1.1 x 10⁹ km³ of sea water and the rest of the planet is rock. The heat capacity of sea water is 3.6 kJ / kg K, the density is 1 t/m². The heat capacity of rock is 1.1 kJ/kg K, the density is 2.9 t/m². Take the cross section area of the planet as A = r² with r being 6500 km. How long does it take, until the temperature of the earth has risen by 3°C? Assume, the full mass of the planet is always on the same temperature. Why is the result much lower than you'd expect? Which of the assumptions is not realistic?
Assume, the average radiation intake of the planet earth increases by 120 W/m² momentarily. The planet therefore leaves its thermal equilibrium and starts heating up (neglect additional thermal losses). The total weight of the planet is 6 x 1024 kg. Assume, that we have 1.1 x 10⁹ km³ of sea water and the rest of the planet is rock. The heat capacity of sea water is 3.6 kJ / kg K, the density is 1 t/m². The heat capacity of rock is 1.1 kJ/kg K, the density is 2.9 t/m². Take the cross section area of the planet as A = r² with r being 6500 km. How long does it take, until the temperature of the earth has risen by 3°C? Assume, the full mass of the planet is always on the same temperature. Why is the result much lower than you'd expect? Which of the assumptions is not realistic?
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Transcribed Image Text:Assume, the average radiation intake of the planet earth increases by 120 W/m² momentarily. The planet therefore leaves its thermal equilibrium and starts heating up
(neglect additional thermal losses).
The total weight of the planet is 6 x 1024 kg. Assume, that we have 1.1 x 109 km³ of sea water and the rest of the planet is rock. The heat capacity of sea water is 3.6 kJ/
kg K, the density is 1 t/m³. The heat capacity of rock is 1.1 kJ/ kg K, the density is 2.9 t/m².
Take the cross section area of the planet as A = r² with r being 6500 km.
How long does it take, until the temperature of the earth has risen by 3°C? Assume, the full mass of the planet is always on the same temperature. Why is the result much
lower than you'd expect? Which of the assumptions is not realistic?
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