# An immersion heater must increase the temperature of 1.49 kg of water.docx

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An immersion heater must increase the temperature of 1.49 kg of water from 10.0 C to 50.0 C in 10.0 min while operating at 110 V SOLUTION What is the required resistance of the heater? Conceptualize An immersion heater is a resistor that is inserted into a container of water. As energy is delivered to the immersion heater, raising its temperature, energy leaves the surface of the resistor by heat, going into the water. When the immersion heater reaches a constant temperature, the rate of energy delivered to the resistance by electrical transmission (TET) is the rate of energy delivered by heat (Q) to the water. Categorize This example allows us to link our new understanding of power in electricity with our experience with specific heat in thermodynamics. The water is system. Its internal energy is rising because of energy transferred into the water by heat from the resistor, so the conservation of energy equation reduces to AEnt Q. In our model, we assume the energy that enters the water from the heater remains in the water Analyze To simplify the analysis, let's ignore the initial period during which the temperature of the resistor increases and also ignore any variation of resistance with temperature.
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