JEE Advanced | 2016CalorimetryHard

Question

A water cooler of storage capacity 120 litres can cool water at a 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  0C and the entire stored 120 litres of water is initially cooled to 10  0C. The entire system is thermally insulated. The minimum value of P (in watts) for which the device can be operated for 3 hours is


(Specific heat of water is 4.2 kJ kg-1 K-1 and the density of water is 1000 kg m-3 )

Options

A.

1600 

B.

2067

C.

 2533  

D.

3933

Solution

(Pheater _ Pcooler ) ×t = ms∆T.

⇒(3×103-P)×3×3600=120×103×20⇒P=2067

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