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:

Hypothalamus

A region of the brain below the thalamus, responsible for coordinating both the autonomic nervous system and the activity of the pituitary, regulating body temperature, thirst, hunger, and other homeostatic systems.

Hippocampus

A region of the brain involved in the formation of new memories and associated with learning and emotions.

Amygdala

A region of the brain within the temporal lobe, crucial for emotion processing, memory, and decision-making.