An electric heating coil rated at 1Kw is used to heat 2kg of water for 2 minutes. The initial water temperature is 30C. Taking the specific heat of the water as 4,000Jkg and neglecting that of the container, the final water temperature is
A. 15.0C B. 45.0C C. 52.5C D. 60.0C
Correct Answer: B
Explanation
Power = 1kw=100W  Time = 2mins = 2 × 60 = 120secs  Energy = power × time  1000 × 120 = 120,000J  Energy = mc(θ – θ)  120,000 = 2 × 4000(θ – θ)  θ2 = 30 + 15 = 45 C