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JEE Advanced2016PhysicsThermal Properties of MatterActual

A water cooler of storage capacity 120 litres can cool water at constant rate of P watts. In a closed circulation system (as shown schematically in the figure), the water from the cooler is used to cool an external device that generates constantly 3 kW of heat (thermal load). The temperature of water fed into the device cannot exceed 30 o C and the entire stored 120 litres of water is initially cooled to 10 o C . The

Options

  1. A1600
  2. B2067
  3. C2533
  4. D3933

Correct answer

B. 2067

Step-by-step solution

3000 - P = 120 × 1 4.2 × 10 3 d T d t d T d t = 20 60 × 60 × 3 P = 2067 W

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