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A copper ball of temperature 100 °C is immersed to a water bath of 50 °C....

A copper ball of temperature 100 °C is immersed to a water bath of 50 °C. After 10 minutes the temperature of the ball is 80 °C and the temperature of the water is 60 °C. You may assume that Newton’s Law of Cooling is obeyed and all the heat lost by the ball is absorbed by the water. Find the equilibrium temperature of the ball as a function of time.

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