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 (a) the maximum heat that the body can lose and (b) the time starting from t=0 in which it will lose 90% of this maximum heat.

A hot body placed in a surrounding of temperature θ0, obeys Newton's

1.	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 (a) the maximum heat that the body can lose and (b) the time starting from t=0 in which it will lose 90% of this maximum heat.
Answer» A hot body placed in a surrounding of temperature $θ_{0}$ , obeys Newton's law of cooling $\frac{d θ}{d t} = - k (θ - θ_{0})$ . Its temperature at t = 0 is $θ_{1}$ . The specific heat capacity of the body is s and its mass is m. Find (a) the maximum heat that the body can lose and (b) the time starting from t=0 in which it will lose 90% of this maximum heat.

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