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Q.

Water of volume 2 litre in a container is heated with a coil of 1 kW at 270C. The lid of the container is open and energy dissipates at rate of 160 J/s. In how much time temperature will rise from 270C to 770C? [Given specific heat of water is 4.2 kJ/kg]

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a

8 min 20s

b

6 min 2 s

c

7 min

d

14 min

answer is A.

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Detailed Solution

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Heat gained by the water = (Heat supplied by the coil)-(Heat dissipated to environment)

 mc θ= PCoilt- PLosst

 2×4.2 ×103×(77-27) = 1000t-160t

 t = 4.2×105840 = 500 sec = 8 min 20 sec

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