According to Newton's law of cooling, the time t needed for an object at an initial temperature To to cool to a temperature T in an environment with ambient temperature T, is given by In(T,-T) In(T -T) where k is a constant. Assume that for a certain type of container, k = 0.025 min-1. Let t be the number of minutes needed to cool the container to a temperature of 50°F. Assume that To = 70.1 + 0.2°F and Ta = 35.7 + 0.1°F. Estimate t, and find the uncertainty in the estimate.

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