An immersion heater rated 1200 W is used to heat 2 kg of water from to in a bucket.

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

An immersion heater rated 1200 W is used to heat 2 kg of water from 25∘C25^{\circ}\text{C} to 75∘C75^{\circ}\text{C} in a bucket. (i) Calculate the thermal energy required to raise the temperature of the water to 75∘C75^{\circ}\text{C}. Take the specific heat capacity of water as 4.2×103 J kg−1 ∘C−14.2 \times 10^{3}\,\text{J kg}^{-1}\,^{\circ}\text{C}^{-1}. (ii) Assuming the heater is 80\% efficient, determine the time required for the heating process. (iii) If the heater is used once every day, find the total electrical energy consumed in a 30-day month, expressing your answer in kilowatt-hours.

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