Tutorial ExerciseA well-insulated electric water heater warms 116 kg of water from 20.0° C to 42.0° C in 24.0 min. Find theresistance of its heating element, which is connected across a 240-V potential difference.Part 1 of 5 - ConceptualizeWe expect the water heater to be high-powered compared to other household appliances. For the power to beon the order of kilowatts, the current would be several amperes and the resistance only a few ohms.Part 2 of 5 - CategorizeWe will find the energy required to heat the water. Then we will find the power of the heating element andcalculate its resistance from the power and the potential difference.Part 3 of 5 - AnalyzeWe know the mass of water m and the temperature change AT. The specific heat of water isC = 4 186 J/kg · °C. For the energy input by heat, we haveQ = mcATkg ) (4 186 J/kg · °C)x 10' J.SubmitSkip (you cannot come back)

water mass= 116 Kg time taken to heat water from 20C to 42C is 24 minutes.

Answered: A well-insulated electric water heater…

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

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Suppose that the resistance between the walls of a biological cell is 1.10 1010 Ω. (a) What is the…

A: Given information: The resistance offered bt the cell wall (R) = 1.10 ×1010 Ω The voltage across the…

Q: 19. In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome…

A: The objective of this question is to find the current through the wire when it is first turned on.…

Q: 527 μF capacitor is discharged through a resistor, whereby its potential difference decreases from…

Q: The resistance of the path is 482 Ω and a 13.3 mA current is needed. What voltage should be applied

A: Resistance is R=482 Ω Current is I=13.3 mA Note: 1 A=1000 mA Find: Required voltage.

Q: The battery of an electronic device has an emf of 1.6V and internal resistance of 1.46ohm. How much…

A: The circuit is as shown in the above figureVoltage of the battery, VB = 1.6 Vinternal resistance, r…

Q: voltmeter connected across the terminals of a tungsten-filament light bulb measures 117 V when an…

Q: An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have…

A: The resistive circuits are governed by Ohm's law, which is as follows, E=IR (1) here E is the…

Q: The potential difference across a resting neuron in the human body is about 62.0 mV and carries a…

A: Given Information:- Potential difference across a human neuron in the human body is V=62…

Q: At room temperature (27.0 °C) the resistance of a heating element is 100 Ω. What is the temperature…

A: Given,

Q: When a R = 91.3 Q resistor is connected across a 12.3 V battery, a current of 123.1 mA flows. What…

A: E = V + Ir E = emf of the cell V= terminal voltage of the battery I = current through the circuit r…

Q: A portable coffee heater supplies a potential difference of 12.0 V across a Nichrome heating element…

Q: The resistance of an electric heater is 90 Ω when connected to 120 V. How much energy does it use…

Q: A 10.0 V battery is connected to a 135 resistor. Ignoring the internal resistance of the battery,…

A: The emf(voltage) of the battery is V=10.0v and it's connected to a resistor R=135 ohms. We are…

Q: For a medium-well steak, the FDA recommends steak to be cooked to the temperature of 145 degrees F.…

A: Due to the flow of the current through the circuit, there is some heat that will be produced…

Q: A certain light bulb has a tungsten filament with a resistance of 13.0 Ω when cold ( 20.0°C ) and…

A: Consider the given data as below. Resistance of the filament, Ro=13.0 Ω Reference temperature,…

Q: tomobile battery has an emf of 12.6 V and an internal resistance of 0.0790 2. The headlights…

Q: A cell phone operates on a V = 3.61 V battery. If the resistance within the circuitry of the phone…

A: Given: Battery voltage of cell phone, V = 3.61 V Resistance within the circuit, R = 15.4 Ω

Q: A battery has an emf of 10.0 V with an internal resistance of 0.0400 Q. Its terminals are connected…

Q: A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 2 ℃, the…

A: The carbon resistor at a temperature T0=20C The resistance of the carbon resistor R0=215 Ω…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 5.00 A. Assuming the…

A: Given data:The operating voltage of a coffee maker is V = 120 V.The current carried by the coffee I…

Q: Suppose that the resistance between the walls of a biological cell is 5.1 × 109 Ω. (a) What is the…

A: Required : (a) What is the current when the potential difference between the walls is 76 mV? (b) If…

Q: the heating element on an electric heater dissipates 4.0 x 10^2 watts of power when connected to a…

Q: Ten cells, each with an internal resistance of 0.20 ohms and an e.m.f. of 4.5 V are connected (a) in…

Q: )If a certain silver wire has a resistance of 8.40 Ω at 16.0°C, what resistance will it have at…

Q: An automobile battery has an emf of 12.6 V and an internal resistance of 0.0870 2. The headlights…

A: FINAL ANSWERS:a) The potential difference across the headlight bulbs when they are the only load on…

Q: A small bulb is rated at 5.9 W when operated at 125 V. The tungsten filament has a temperature…

Q: A 573 µF capacitor is discharged through a resistor, whereby its potential difference decreases from…

A: Given:C=573 μF=573*10-6 FVo=86.1 VV(t) = 16.1 Vt = 3.09 s

Q: Three resistors with values 60.0 N, 30.0 N, and 20 N respectively are connected in series to a 110.0…

A: Given that:Three resistors connceted in series areR1=60 ΩR2=30 ΩR3=20 ΩBattery, V=110 V

Q: A certain lightbulb has a tungsten filament with a resistance of 17.8 Ω when at 20.0°C and 147 Ω…

Q: When a potential difference of 12 V is applied to a wire 8.5 m long and 0.41 mm in diameter the…

A: Given : Potential difference, V = 12 V Length, L = 8.5 m ; Diameter, D = 0.41 mm Current, I = 2.8…

Q: A voltmeter connected across the terminals of a tungsten-filament light bulb measures 117 V when an…

A: Using ohms law to calculate resistance and formula to calculate resistivity

Q: During open-heart surgery, a defibrillator can be used to bring a patient out of cardiac arrest.…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the…

Q: What is the resistance of the circuit?

A: Given Current flowing in circuit =I = 6.7 m Amp Voltage across the battery= V = 13 V Charge…

Q: The heating element of an electric toaster is typically made of nichrome wire (an alloy of nickel…

A: The resistance is given by R = ρLA where, L is the length and A is the area, ρ is the resistivity.

Q: In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome that…

Q: When a R = 92.3 Q resistor is connected across a 12.3 V battery, a current of 123.2 mA flows. What…

A: Given : E = 12.3 V R =92.3 Ω i = 123.2 mA INTERNAL RESISTANCE : i=ER+r Plug given values we get…

Q: Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.35…

Q: The battery of an electronic device has an emf of 9.6V and internal resistance of 1.36 ohm. How much…

A: Emf of battery (E) = 9.6 volts Internal resistance (R) = 1.36 ohm Energy (e) = 856.6 Joules Time (t)…

Q: A cell of e.m.f. 2V and external resistance 0.5 Q is connected across a resistor (R). The current…

A: To find-Thhe value of external resistance=?Given-Emf (E1)=2VInternal reistance (r1)=0.5 ohmEmf…

Q: A human being can be electrocuted if a current as small as 53.0 mA passes near the heart. An…

A: This question is based on Current Electricity Topic. According to Ohm's Law the relation between…

Question

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)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

There is a potential difference of 1.3 V between the ends of a 20 cm long graphite rod that has a cross-sectional area of 1.9 mm2. The resistivity of graphite is 7.5 10-6 Ω-m. (a) Find the resistance of the rod. _______ (b) Find the current. ________ (c) Find the electric field inside the rod. ________
The heating element of a coffeemaker operates at 120 V and carries a current of 4.50 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.715 kg of water from room temperature (23.0°C) to the boiling point. min
A 300W, 130 V incandescent lamp has a filament having a temperature coefficient of resistance equal to 0.007 at 0 degrees C. If the normal operating temperature of the bulb is 1825 degrees C, how much current will the bulb draw at the instant it is turned on. Assume the room temperature of 30 degrees C.
(a) Of what material is a wire made, if it is 20.0 m long with a 0.110 mm diameter and has a resistance of 33.5 at 20.0°C? copper gold platinum silver (b) What is its resistance (in Q) at 140°C? 47.17
Two 1.50-V batteries-with their positive terminals in the same direction-are inserted in series into the barrel of a flashlight. One battery has an internal resistance of 0.330 , the other an internal resistance of 0.190 2. When the switch is closed, a current of 600 mA occurs in the lamp. (a) What is the bulb's resistance? 2 (b) What fraction of the chemical energy transformed appears as internal energy in the batteries? % Need Help? Read It
A portable coffee heater supplies a potential difference of 12.0 V across a Nichrome heating element with a resistance of 1.92 Ω. (a) Calculate the power (in W) consumed by the heater. W (b) How many minutes would it take to heat 1.13 kg of coffee from 20.6°C to 46.2°C with this heater? Coffee has a specific heat of 4184 J (kg · °C) . Neglect any energy losses to the environment. min
A silver wire has a resistance of 2.00 Ω at 34.0°C. Determine its resistance (in Ω) at 434°C. The temperature coefficient of resistivity for silver wire is 3.80 ✕ 10−3 (°C)−1. (Assume that the temperature coefficient of resistivity was measured using the reference temperature 20°C.)
One of the circuits in a portable CD player operates on a current of 2.5 mA. How many electrons enter and leave this part of the player in 1 sec?
Suppose that the potential difference across the membrane of a biological cell is 57 mV, and that the resistance across the membrane is 7.8 × 109 Ω. The difference in potential drives a current of Na+ ions across the membrane of the cell. How many ions flow in 0.6s? (hint: calculate the electric current, then the total charge, then the number of ions.)
A battery has an emf of 10.0 V with an internal resistance of 0.0400 Ω. Its terminals are connected to a network of resistors with equivalent resistance of 2.00 Ω. What is the power delivered to the network? 49.0 W 47.0 W 50.0 W 48.0 W
What current flows through a 2.74 cm diameter rod of pure silicon that is 25.0 cm long, when 1000 V is applied to it? (Such a rod may be used to make nuclear particle detectors, for example.) The resistivity of pure silicon is 2.30 103 Ω · m. _____A
Two resistors, R, = 2.57 2 and R, = 5.81 2, are connected in series to a battery with an EMF of 24.0 V and negligible internal resistance. Find the current I, through R1 and the potential difference V½ across R2. I = A R2 V½ = V