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

Create a free account to view solution

View Solution Free
Topic: Calorimetry·Practice all Calorimetry questions

More Calorimetry Questions

5 kg of steam at 100oC is mixed with 10 kg of ice at 0oC . Choose correct alternative /s(Given swater = 1 cal/goC, LF = ...Two identical beakers with negligible thermal expansion are filled with water to the same level at 4oC. If one says A is...A metal ball of specific gravity 4.5 and specific heat 0.1 cal/gm-oC is placed on a large slab of ice at 0oC. Half of th...In Newtonᐃs law of cooling, = -k (θ - θ), the constant k is proportional to...A liquid with coefficient of volume expansion γ is filled in a container of a material having the coefficient of li...