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coolmom asked What is the temperature to the nearest degree of wine after 5 hours in the refregirator?
T = Tm + (To - Tm) e^-kt tm is the tempeatoure of the surrounding medium T0 is the temp of the object at t = 0 suppose a bottle of wine at aroom of 72F the temperature in the refrigerator is kept at 40 Farenheith and k=0.4
And got the following answer:
You simply need to sub in the given values, you know everything you need in the equation. T = Tm + (To - Tm) e^-kt T is the temperature you want. Tm is 40, since this is the temperature of the surroundings (in the fridge) To is 72, since the wine starts at 72 k is 0.4 (given) and t is 5, since the question is asking for after 5 hours T = 40 + (72 - 40)e^(0.4*5) T = 40 + 32e^2 You can plug that into a calculator to get your final answer. Hope that helps!