Law of Cooling

Classical Mechanics Level 1

A hot body placed in air is cooled down according to Newton's law of cooling, the rate of decrease of temperature being 2 2 times the temperature difference from the surrounding.

Starting from t = 0 t = 0 , find the time in which the body will lose half the maximum heat it can lose.

l n ( 2 ) 3 \frac{ln(2)}{3} l n ( 2 ) ln(2) l n ( 2 ) 2 \frac{ln(2)}{2} l n ( 2 ) 4 \frac{ln(2)}{4}

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