Suppose that a cup of soup cooled from 90°C to 40°C after 25 minutes in a room whose temperature was 20°C. Use Newton's law of cooling to answer the following questions. a. How much longer would it take the soup to cool to 30°C? b. Instead of being left to stand in the room, the cup of 90°C soup is put in the freezer whose temperature is - 5°C. How long will it take the soup to cool from 90°C to 30°C? a. How much longer would it take the soup to cool to 30°C? min (Round the final answer to two decimal places as needed. Round all intermediate values to five decimal places as needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
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Suppose that a cup of soup cooled from 90°C to 40°C after 25 minutes in a room whose temperature was 20°C. Use Newton's law of cooling to answer the following questions.
a. How much longer would it take the soup to cool to 30°C?
b. Instead of being left to stand in the room, the cup of 90°C soup is put in the freezer whose temperature is - 5°C. How long will it take the soup to cool from 90°C to 30°C?
a. How much longer would it take the soup to cool to 30°C?
|min
(Round the final answer to two decimal places as needed. Round all intermediate values to five decimal places as needed.)
Transcribed Image Text:Suppose that a cup of soup cooled from 90°C to 40°C after 25 minutes in a room whose temperature was 20°C. Use Newton's law of cooling to answer the following questions. a. How much longer would it take the soup to cool to 30°C? b. Instead of being left to stand in the room, the cup of 90°C soup is put in the freezer whose temperature is - 5°C. How long will it take the soup to cool from 90°C to 30°C? a. How much longer would it take the soup to cool to 30°C? |min (Round the final answer to two decimal places as needed. Round all intermediate values to five decimal places as needed.)
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