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A Casserole Is Removed from A 375∘F375^{\circ} \mathrm{F} Oven, and It Cools
To

Question 49

Short Answer

A casserole is removed from a 375∘F375^{\circ} \mathrm{F} oven, and it cools
to 200∘F200^{\circ} \mathrm{F} after 15 minutes in a 75∘F75^{\circ} \mathrm{F} room. How long
(from the time it is taken out of the oven) does it take
to cool to 100∘F?100^{\circ} \mathrm{F} ? (Hint: Use Newton's Law of Cooling,
T(t)=Tm+(T0−Tm)e−kt.)\left.T(t)=T_{m}+\left(T_{0}-T_{m}\right) e^{-k t} .\right)

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