How do you show that the temperature of the coffee after t minutes is #20 + 75e^(-kt)# if a cup of coffee has a temperature 95 degree Celsisus and takes 30 minutes to cool to 61 degrees celsisus in a room with temperature 20 degrees celsisus?

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How do you show that the temperature of the coffee after t minutes is #20 + 75e^(-kt)# if a cup of coffee has a temperature 95 degree Celsisus and takes 30 minutes to cool to 61 degrees celsisus in a room with temperature 20 degrees celsisus?

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Answer 1 · 2015-04-04T04:33:55

I am not sure that it is what you want, but...
I assume that the temperature #T# must be a function of time given by an exponential decay of the type: #T(t)=A+Be^(-kt)# where the constants must be given as in your formula because:
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How do you show that the temperature of the coffee after t minutes is #20 + 75e^(-kt)# if a cup of coffee has a temperature 95 degree Celsisus and takes 30 minutes to cool to 61 degrees celsisus in a room with temperature 20 degrees celsisus?

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