JAMB - Physics (2018 - No. 53)

An electric heating coil rated at 1Kw is used to heat 2kg of water for 2 minutes. The initial water temperature is 30\(^o\)C. Taking the specific heat of the water as 4,000Jkg \(^{-1}\) and neglecting that of the container, the final water temperature is
15.0\(^o\)C
45.0\(^o\)C
52.5\(^o\)C
60.0\(^o\)C

Explanation

Power = 1kw=100W

  Time = 2mins = 2 × 60 = 120secs

  Energy = power × time

  1000 × 120 = 120,000J

  Energy = mc(θ\(_2\) – θ\(_1\))

  120,000 = 2 × 4000(θ\(_2\) – θ\(_1\))

  θ2 = 30 + 15 = 45 \(^o\) C

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