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[DTube] Newton's Law of Cooling - First Order Differential Equations

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Published: 14 Dec 2018 › Updated: 14 Dec 2018[DTube] Newton's Law of Cooling - First Order Differential Equations

[DTube] Newton's Law of Cooling - First Order Differential Equations


In this video, we derive Newton's Law of Cooling and use it to determine how fast a bottle of water cools when it is placed inside of a refrigerator.

We are given that the bottle of water is a room temperature of 25C when placed into a fridge kept at 3C. We are also given that after half an hour (30mins) the water temperature has dropped by 10C.

We want to find out

a) What the temperature is at 1 hour
b) How long it takes to reach a temperature of 4C

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Please ask me a maths question by commenting below and I will try to help you in future videos.

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