A well-insulated electric water heater warms 116 kg of water from 20.0° C to 42.0° C in 24.0 min. Find the resistance of its heating element, which is connected across a 240-V potential difference.
A well-insulated electric water heater warms 116 kg of water from 20.0° C to 42.0° C in 24.0 min. Find the resistance of its heating element, which is connected across a 240-V potential difference.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![Tutorial Exercise
A well-insulated electric water heater warms 116 kg of water from 20.0° C to 42.0° C in 24.0 min. Find the
resistance of its heating element, which is connected across a 240-V potential difference.
Part 1 of 5 - Conceptualize
We expect the water heater to be high-powered compared to other household appliances. For the power to be
on the order of kilowatts, the current would be several amperes and the resistance only a few ohms.
Part 2 of 5 - Categorize
We will find the energy required to heat the water. Then we will find the power of the heating element and
calculate its resistance from the power and the potential difference.
Part 3 of 5 - Analyze
We know the mass of water m and the temperature change AT. The specific heat of water is
C = 4 186 J/kg · °C. For the energy input by heat, we have
Q = mcAT
kg ) (4 186 J/kg · °C)
x 10' J.
Submit
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Transcribed Image Text:Tutorial Exercise
A well-insulated electric water heater warms 116 kg of water from 20.0° C to 42.0° C in 24.0 min. Find the
resistance of its heating element, which is connected across a 240-V potential difference.
Part 1 of 5 - Conceptualize
We expect the water heater to be high-powered compared to other household appliances. For the power to be
on the order of kilowatts, the current would be several amperes and the resistance only a few ohms.
Part 2 of 5 - Categorize
We will find the energy required to heat the water. Then we will find the power of the heating element and
calculate its resistance from the power and the potential difference.
Part 3 of 5 - Analyze
We know the mass of water m and the temperature change AT. The specific heat of water is
C = 4 186 J/kg · °C. For the energy input by heat, we have
Q = mcAT
kg ) (4 186 J/kg · °C)
x 10' J.
Submit
Skip (you cannot come back)
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