A body cools from 50.0 ∘ C to 49.9 ∘ C in 5 s. How long will it take to cool from 40.0 ∘ C to 39.9 ∘ C? Assume the temperature of the surroundings to be 30.0 ∘ C and Newton's law of cooling to be valid.

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoHeat TransferMedium2 min

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A body cools from $50.0^{\circ}$ C to $49.9^{\circ}$ C in 5 s. How long will it take to cool from $40.0^{\circ}$ C to $39.9^{\circ}$ C? Assume the temperature of the surroundings to be $30.0^{\circ}$ C and Newton's law of cooling to be valid.

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Answer:

Solution:

The rate of fall is proportional to the mean excess. First: $19.95$ , second: $9.95$ . The time is inversely proportional, so $t = 5 \times \frac{19.95}{9.95} = 10$ s. B.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Heat Transfer

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