Question

A thermometer is removed from a room where the temperature is 70° f and is taken outside, where the air temperature is 30° f. after one-half minute the thermometer reads 50° f. what is the reading of the thermometer at t = 1 min? (round your answer to two decimal places.)

Answer 1

At t=1 minute, the reading will be 40.00 °F.

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Every half-minute, the temperature difference from the 30 °F air temperature is divided by 2. After 1 minute, the initial 70-30=40 degree difference will be divided by 4. The thermometer will read 30° +40°/4 = 40°