Predict the temperature of the object if the object is left in the room for a very long time.

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An object was left in a room of unknown surrounding temperature. The temperature of the object was summarized below with respect to the time t (in minutes) the object was initially observed. Predict the temperature of the object if the object is left in the room for a very long time. Put your answer accurate up to four decimal places. No need to put in the units of measurement.

  • When t = 0, the temperature of the object is 30 degrees Celsius.
  • When t = 10 minutes, the temperature of the object is 32 degrees Celsius.
  • When t = 20 minutes, the temperature of the object is 33.6 degrees Celsius.

Assume the system obeys Newton’s Law of Cooling and the surrounding temperature of the room did not change.

 

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