# Extraordinary Differential Equations #11

Calculus Level 3

Newton's Law of Cooling states that the rate at which a hot object cools down is directly proportional to the temperature difference between itself and its environment.

Suppose an object at $$100.0^{\circ} \text{C}$$ is left to cool down in an environment of a fixed lower ambient temperature. If the object's temperature is $$80.0^{\circ} \text{C}$$ after an hour, and $$54.6^{\circ} \text{C}$$ after another 2 hours, calculate the ambient temperature of the surrounding temperature in $$^{\circ} \text{C}$$.

(This problem is part of the set Extraordinary Differential Equations.)

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