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A heated object (at time t = 0 and temperature T = T0) is taken out of the oven to cool and placed on a table near an open window. Write an expression for its temperature as function of time T, where s Ts is the surrounding temperature.

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a

T=Ts−T0+Tse−kt

b

T=Ts+T0+Tse−kt

c

T=Ts+T0−Tse−kt

d

T=Ts−T0−Tse−kt

answer is C.

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Detailed Solution

dTdt=−KT−Ts∫T0T dTT−Ts=−K∫0t dt logT−TsT0−Ts=−Kt+C

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A heated object (at time t = 0 and temperature T = T0) is taken out of the oven to cool and placed on a table near an open window. Write an expression for its temperature as function of time T, where s Ts is the surrounding temperature.