Mathematics, 18.12.2020 22:20 peterradu47781
Newton’s law of cooling states that for a cooling substance with initial temperature T0, the temperature T(t) after t minutes can be modeled by the equation T(t)=Ts+(T0−Ts)e−kt, where Ts is the surrounding temperature and k is the substance’s cooling rate.
A liquid substance is heated to 80°C. Upon being removed from the heat, it cools to 60°C in 15 min.
What is the substance’s cooling rate when the surrounding air temperature is 50°C?
Round the answer to four decimal places.
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