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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