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A water cooler of storage capacity 120 liters can cool water at a constant rate of P watts. In a closed circular 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° C and the entire stored 120 litres of water is initially cooled to 10° C. The entire system is thermally insulated. The minimum value of P (in watts) for which the device can be operated for 3 hours is Cooler Hot Cold Device (Specific heat of water is 4.2 kJ kg –1 K –1 and the density of water is 1000 kg m –3 )

1. 1600
2. 2067
3. 2533
4. 3933

Correct answer: 2067

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