A immersion heater is placed in of water initially at

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

A 600 W600\,\text{W} immersion heater is placed in 1.0 kg1.0\,\text{kg} of water initially at 20∘C20^{\circ}\text{C}. The heater is left on continuously for 4.0 min4.0\,\text{min}. Assume no energy is lost to the surroundings except as noted. The specific heat capacity of liquid water is c=4.186×103 J kg−1 ∘ ⁣C−1c = 4.186\times10^{3}\,\text{J\,kg}^{-1\,^{\circ}\!}\text{C}^{-1}. (a) Determine the total electrical energy delivered by the heater during the 4.0 min4.0\,\text{min} interval. (b) Assuming all of this energy is transferred to the water, calculate the theoretical final temperature of the water. (c) In an actual experiment, the measured final temperature is 40∘C40^{\circ}\text{C}. Calculate the percentage of the electrical energy that was effectively used to raise the water’s temperature, and discuss one plausible physical reason why the efficiency is less than 100%100\%. (No numerical justification of the reason is required.)

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