A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20°F. The initial temperature of the liquid is 150°F. After 5 minutes, the liquid's temperature is 60°F. How much longer will it take for its temperature to decrease to 30°F? (Round your answer to two decimal places.)
Added by Brandon B.
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We can use Newton's Law of Cooling to model the temperature of the liquid over time. The formula is: $T(t) = T_a + (T_i - T_a)e^{-kt}$ where $T(t)$ is the temperature of the liquid at time $t$, $T_a$ is the ambient temperature (20°F), $T_i$ is the initial Show more…
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