Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

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

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