A chicken is taken out of the freezer $\left( 0 ^ { \circ } \mathrm { C } \right)$ and placed on a table in a $20 ^ { \circ } \mathrm { C }$ room. Ten minutes later the temperature is $2 ^ { \circ } \mathrm { C }$ . It warms according to Newton's Law. How long does it take before the temperature reaches $15 ^ { \circ } \mathrm { C }$ ?
A) 122 minutes
B) 127 minutes
C) 132 minutes
D) 137 minutes
E) 142 minutes

Question

Quizplus · Accepted Answer

Using Newton's Law of Cooling, the temperature change can be modeled by $ T(t) = T_{\text{room}} + (T_{\text{initial}} - T_{\text{room}})e^{-kt} $. Solving for $ k $ using the given data, and then finding the time for the temperature to reach $ 15 ^{\circ} \mathrm{C} $, results in approximately 132 minutes.

A Chicken Is Taken Out of the Freezer (0∘C)\left( 0 ^ { \circ } \mathrm { C } \right)(0∘C)

A Chicken Is Taken Out of the Freezer $\left( 0 ^ { \circ } \mathrm { C } \right)$