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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Newton’s law of cooling

Halve the excess twice

An object cools in a room at 20°C. Its temperature falls from 80°C to 50°C in 6 minutes and obeys Newton’s cooling law with constant coefficient.

How long after the initial 80°C reading does it reach 35°C?

Organize the givens & assumptions
  • Room temperature: 20°C
  • Initial temperature: 80°C
  • Temperature after 6 min: 50°C
  • Target temperature: 35°C

Constant ambient temperature and cooling coefficient; lumped uniform object temperature over this range.

  1. A12 min12\ \mathrm{min}
  2. B9 min9\ \mathrm{min}
  3. C6 min6\ \mathrm{min}
  4. D18 min18\ \mathrm{min}

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