According to Newton€™s law of cooling, the time t needed for an object at an initial temperature T₀to cool to a temperature T in an environment with ambient temperature Ta is given by where k is a constant.

Assume that for a certain type of container, k = 0.025 minˆ’1. Let t be the number of minutes needed to cool the container to a temperature of 50—¦F. Assume that T0 = 70.1 ± 0.2—¦F and Ta = 35.7 ± 0.1—¦F. Estimate t, and find the uncertainty in the estimate.

Transcribed Image Text:

In(T. – T.) In(T – T.)