Mathematics

Mathematics

Problem

An immersion heater of resistance 20 Ω20\,\Omega is used to raise the temperature of 0.5 kg0.5\,\text{kg} of water from 25∘C25^{\circ}\text{C} to 45∘C45^{\circ}\text{C} in 5 min5\,\text{min}. Assuming no heat is lost to the surroundings and taking the specific heat capacity of water as 4200 J kg−1 ∘C−14200\,\text{J\,kg}^{-1}\,^{\circ}\text{C}^{-1}, determine the current drawn by the heater. a) 4.0 A4.0\,\text{A} b) 2.65 A2.65\,\text{A} c) 7.0 A7.0\,\text{A} d) 1.9 A1.9\,\text{A}

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