Chapter 20, Problem 20.21E

To a very good approximation, the cooling of a hot body to room temperature $\left(298\text{K}\right)$ follows first-order kinetics. (In this case, however, the unit that is changing is kelvins, not molarity. This idea is known as Newton’s law of cooling.) If the rate constant for a body is $0.0344{\text{s}}^{-1}$, how long would it take for a piece of matter to go from $1000\text{K}$ to $298\text{K}$?