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The person wants to drink the coffee + creamer mixture after waiting a certain time t, and wants the mixture to be as cool as possible. Should the person (a) dump in the creamer and then wait for time t, or (b) wait for time t and then dump in the creamer? Answer this by calculating the temperature of the mixture under both scenarios (a and b), and showing that one is larger than the other...
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Assume the rate of thermal energy loss by the hotter object to the colder surroundings is linearly proportional to the temperature difference between the two, where the constant of proportionality (call it ?) is independent of the mass of the object. For simplicity, choose a temperature scale linear with the Kelvin scale (like Celsius), but offset such that room temperature is the best number in physics (zero)...
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