Its wintertime and you are in need of portable electrical heater for your room and you are comparing two different products. The first heater has metal grills made of aluminum and has dimensions of 0.75 [m] x 0.05 [m] x 0.01 [m] while the second heater has metal grills made of iron and has dimensions of 1.00 [m] x 0.03 [m] x 0.01 [m]. You wish to heat your room from 10 degrees Celsius to a nice toasty 28 degrees Celsius and your wall outlet provides 120 [V]. A)What is the resistance of the aluminum and iron heater at 28 degrees Celsius? B)What is the current for the aluminum and iron heater operating at 28 degrees Celsius? C)If you wish to operate your heater for 4 hours and the cost of electricity is $0.12 per kilowatt-hour, which heater has cheaper operational costs?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
Problem 56PQ: You extend an impromptu invitation to a friend for dinner. The only food you have is a couple of...
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Its wintertime and you are in need of portable electrical heater for your room and you are comparing two different products. The first heater has metal grills made of aluminum and has dimensions of 0.75 [m] x 0.05 [m] x 0.01 [m] while the second heater has metal grills made of iron and has dimensions of 1.00 [m] x 0.03 [m] x 0.01 [m]. You wish to heat your room from 10 degrees Celsius to a nice toasty 28 degrees Celsius and your wall outlet provides 120 [V].

A)What is the resistance of the aluminum and iron heater at 28 degrees Celsius?

B)What is the current for the aluminum and iron heater operating at 28 degrees Celsius?

C)If you wish to operate your heater for 4 hours and the cost of electricity is $0.12 per kilowatt-hour, which heater has cheaper operational costs?

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