Water of volume 2 litre in a container is heated with a coil of \( 1 \mathrm{~kW} \) at \( 27^{\...

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Water of volume 2 litre in a container is heated with a coil of \( 1 \mathrm{~kW} \) at \( 27^{\circ} \mathrm{C} \). The lid of the container is open and energy dissipates at rate of \( 160 \mathrm{~J} / \mathrm{s} \). In how much time temperature will rise from \( 27^{\circ} \mathrm{C} \) to \( 77^{\circ} \mathrm{C} \) [Given specific heat of water is \( 4.2 \mathrm{~kJ} / \mathrm{kg} \) ] [IIT-JEE (Screening) 2004]
(a) \( 8 \min 20 s \)
(b) \( 6 \min 2 s \)
(c) \( 7 \mathrm{~min} \)
(d) \( 14 \mathrm{~min} \)
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