# Changes in Temperature

A cup of coffee has a temperature of 200 degrees Fahrenheit and is placed in a room of constant temperature of 70 degrees Fahrenheit. The temperature T of the soup t minutes after it is placed in the room is given by

T(t)=70+130e^-0.075t

Find the temperature of the coffee after 10 minutes.

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

A cup of coffee has a temperature of 200 degrees Fahrenheit and is placed in a room of constant temperature of 70 degrees Fahrenheit. The temperature T of the soup t minutes after it is placed in the room is given by

T(t)=70+130e^-0.075t

Find the temperature of the coffee after 10 minutes.

Solution. Setting t=10, by the formula T(t)=70+130e^-0.075t, we have

T(10)=70+130e^-0.075*10)

=70+130e^(-0.75)

=131.41

So, we conclude that the temperature of the coffee after 10 minutes is 131.41 degrees Fahrenheit.

Â© BrainMass Inc. brainmass.com October 4, 2022, 12:01 pm ad1c9bdddf>https://brainmass.com/physics/temperature/changes-temperature-518732