Explanation Use the formula F ( t ) = T 0 + C e − k t to determine the time taken for the bar to attain a given temperature after determining the constants, using the details given. Given: A cold metal bar at − 30 ℃ is submerged in a pool maintained at a temperature of 40 ℃. Half a minute later, the temperature of the bar is 20 ℃. Calculation: With T 0 = 40 ℃, the temperature of the bar is given by the equation F ( t ) = 40 + C e − k t for constants C , k From the initial condition, F ( 0 ) = 40 + C = − 30 = > C = − 70 ...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 10.2, Problem 9E

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How long will it take for the bar to attain a temperature of $30$ ℃?

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Chapter 10.2, Problem 8E

Chapter 10.2, Problem 10E

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