Calculate Average Energy Use/Month

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Homework Help Overview

The discussion revolves around calculating average energy usage based on a power bill, specifically converting monetary costs into energy in Joules and subsequently determining the charge drawn by an air-conditioner in Coulombs per second.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the conversion of energy costs into kilowatt hours and then into Joules, as well as the implications of energy usage related to an air-conditioner. Questions about significant figures and verification of calculations are raised.

Discussion Status

Some participants have provided feedback on the calculations, with one confirming the approach taken by the original poster. There is an ongoing exploration of the implications of energy usage and the accuracy of the calculations presented.

Contextual Notes

Participants mention the importance of significant figures in calculations, indicating a focus on precision in the context of the problem. The discussion also assumes a specific billing period and energy usage distribution without further elaboration.

NickCherryJiggz
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I'm helping a friend with this question and wanted to make sure I was doing it correctly...

Suppose your local power company charges 6.3 cents per kilowatt hour and your most recent bill came to $27.00. How much energy, on average, did you use (in Joules) per second last month? Assume that the billing period covered 30 days.

$27.00/($0.063/kilowatt hour) = 428.571428... kilowatt hours

428.57... * (3.6 x 10^6) = (1.5428571428571 * 10^9 Joules)/month = M

M / (30 * 24 * 60 * 60) = 595.23809523808 Joules/second

Thanks for the help!
 
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It's okay.U may want to learn the concept of significant figures,though...:rolleyes:

Daniel.
 
Thank you, Daniel...Sorry about the sigdigs.
I know these are just silly conversions for the most part, but could someone please verify the second half of the question as well?

Now pretend that roughly 2/3 of the energy usage last month was a result of a 120 V air-conditioner, how many Coulombs of charge per second did that air-conditioner draw?

595.24... * 2/3 = 396.83...J/s
V = J/C
120 Volts = (396.83... J/s) / (Coulombs/s)
3.21 Coulombs/second
 

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