Water of volume $2\, L$ in a container is heated with a coil of $1\, kW$ at $27 \,^{\circ}C$. The lid of the container is open and energy dissipates at a rate of $160\, J/s$. In how much time will the temperature rise from $27\,^{\circ}C$ to $77\,^{\circ}C$? [Given: specific heat of water is $4.2\, kJ/(kg \cdot K)$]

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

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