Newton's law of cooling is used to determine

  1. Mass of a cooled object
  2. Temperature of an object after a given time
  3. Volume of a cooled object
  4. Pressure exerted by a cooled object

Answer (Detailed Solution Below)

Option 2 : Temperature of an object after a given time
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The correct answer is option 2) i.e. Temperature of an object after a given time

CONCEPT:

  • Newton's law of cooling: Newton's law of cooling states that the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.
  • It is given by the equation:

\(⇒ \frac{dT}{dt} = k(T_t -T_s)\)

Where k is the cooling constant, Tt is the temperature at time t, Ts is the temperature of the surrounding.

  • The temperature at time t, 

⇒ Tt  = Ts + (T– Ts) e-kt

EXPLANATION:

  • The statement of Newton's law of cooling is not applicable to the mass, volume, and pressure of a body that loses heat.
  • The equation derived from Newton's law of cooling is used to determine the temperature of an object after a given time when it loses heat to the surroundings.
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