Solve the Problem $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$

question 206

Multiple Choice

Solve the problem.
-A cup of coffee is heated to 194° and is then allowed to cool in a room whose air temperature is 72°. After 11 minutes, the temperature of the cup of coffee is 140°. Find the time needed for the coffee to cool to a temperature
Of 102°. Assume the cooling follows Newton's Law of Cooling: $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$ (Round your answer to one decimal place.)

• A) 15.1 minutes
• B) 29.7 minutes
• C) 41.1 minutes
• D) 26.4 minutes

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Definitions:

Date Of Completion

The specified day on which a project, task, or assignment is formally finished or due to be delivered.

Complex Task

A task that involves multiple steps, requires significant mental or physical effort, and may involve handling uncertain conditions.

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The distinct elements or parts that make up a project, each necessary for its completion and success.

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A specific order or arrangement in which related events, tasks, or processes are intended to occur.