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A hot body placed in a surrounding of temperature θ0 obeys Newton's law of cooling dθdt=−k(θ−θ0) Its temperature at t = 0 is θ1. The specific heat capacity of the body is s and its mass is m. Find (i) the maximum heat that the body can lose and (ii) the time starting from t = 0 in which it will lose 90% of this maximum heat. |
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Answer» A hot body placed in a surrounding of temperature θ0 obeys Newton's law of cooling dθdt=−k(θ−θ0) Its temperature at t = 0 is θ1. The specific heat capacity of the body is s and its mass is m. Find (i) the maximum heat that the body can lose and (ii) the time starting from t = 0 in which it will lose 90% of this maximum heat. |
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