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TGM Original Questions

A cup of hot coffee is at 90°C. The temperature of the coffee decreases at a rate of 5°C per minute for the first 5 minutes, then at a rate of 2°C per minute for the next 10 minutes, and finally at a rate of 1°C per minute until it reaches room temperature at 25°C.

  1. Calculate the time it takes for the coffee to cool down from 90°C to room temperature.
  2. Calculate the average rate of decreasing for the coffee to cool down from 90°C to 25°C.

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Answer:(i) \(35\) minutes (ii) \(1\dfrac67\ ^\circ\text{C}/\text{min}\)

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