(a) An object with the initial temperature To is placed in a tank of water, the temperature of which is kep at 15°C. After 25 minutes the temperature of the object is 178°C, and after 50 minutes it is 89°C. (i) Presuming that Newton's law of cooling applies, what is the initial value of To? (ii) How long does it take for the object to cool to 70°C?
(a) An object with the initial temperature To is placed in a tank of water, the temperature of which is kep at 15°C. After 25 minutes the temperature of the object is 178°C, and after 50 minutes it is 89°C. (i) Presuming that Newton's law of cooling applies, what is the initial value of To? (ii) How long does it take for the object to cool to 70°C?
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 4SE: Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of...
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