Water of volume $2\, L$ in a closed container is heated with a coil of $1\, kW$. While water is heated,the container loses energy at a rate of $160\, J/s$. In how much time will the temperature of water rise from $27\, ^\circ C$ to $77\, ^\circ C$? (Specific heat of water is $4.2\, kJ/kg\cdot K$ and that of the container is negligible)

  • A
    $8\, min\, 20\, s$
  • B
    $6\, min\, 2\, s$
  • C
    $7\, min$
  • D
    $14\, min$

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