a. Explanation Given information : A cup of chocolate has 80 ∘ C in a room kept at 20 ∘ C and after half an hour the hot chocolate cools to 60 ∘ C . As we have exponential growth or decay function y ( t ) = y 0 e k t Given initial temperature 80 ∘ C and then after 30 minutes chocolate cools to 60 ∘ C at room temperature 20 ∘ C According Newton’s law of cooling 60 ∘ C − 20 ∘ C = 60 e k t ; t = 30 ⇒ 40 60 = e k ( 30 ) ln ( 2 3 ) = ln e k ( 30 ) − 0 b. To determine After how many minute chocolates gets cooled to 40 ∘ C .

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 3, Problem 84E

To determine

The temperature of the chocolate after another half an hour, if a cup of chocolate has 80∘C in a room kept at 20∘C and after half an hour the hot chocolate cools to 60∘C .

To determine

After how many minute chocolates gets cooled to 40∘C .

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Chapter 3, Problem 83E

Chapter 3, Problem 85E

Chapter 3 Solutions

Biocalculus

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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The temperature of the chocolate after another half an hour, if a cup of chocolate has 80 ∘ C in a room kept at 20 ∘ C and after half an hour the hot chocolate cools to 60 ∘ C .

Solution Summary: The author explains that the temperature of the chocolate after another half an hour is 46.7circ

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The temperature of the chocolate after another half an hour, if a cup of chocolate has 80∘C in a room kept at 20∘C and after half an hour the hot chocolate cools to 60∘C .

After how many minute chocolates gets cooled to 40∘C .

Want to see the full answer?

Chapter 3 Solutions