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AP EAMCET · PHYSICS · Kinetic Theory of Gases

A liquid of mass 250 g is kept warm in a vessel using an electric heater. The liquid is maintained at 57 °C when the power supplied by the heater is 30 W and surrounding temperature is 27 °C. As the heater is switched off, it took 10 s time for the temperature of the liquid to fall from 47 °C to 46.9 °C. The specific heat capacity of the liquid is

  1. A 8000 J kg-1 K-1
  2. B 9000 J kg-1 K-1
  3. C 6000 J kg-1 K-1
  4. D 12000 J kg-1 K-1
Verified Solution

Answer & Solution

Correct Answer

(A) 8000 J kg-1 K-1

Step-by-step Solution

Detailed explanation

The expression for the rate of heat flow is, dqdt=-kT-T0 Here T0=Surrounding temperature From first condition-| 30=-k57-27 ⇒  k=-1 Using second condition- dqdt=-kT-T0 but dqdt=msdTdt ∴  msdTdt=-k T-T0 Substitute the given values in the…