For what time would the Earth´s temperature drop by 26

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For what time would the Earth´s temperature drop by 26 ° C as a result of thermal radiation if solar energy ceased to come to Earth? The specific heat of the Earth is assumed to be 200 J / kg * K, density 5500 kg / m <sup> 3 </ sup>. Earth is considered a gray body with a temperature T = 286 K and an absorption coefficient of 0.8.

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Task 50110. A detailed solution with a brief record of the condition, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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