How Do You Calculate the Cost of Running a Steam Iron?

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In summary, the steam iron produces 2755152 J of internal energy in 76 minutes. To run the steam iron for 76 minutes at a cost of $0.75/kW*hr, it would cost 57 cents.
  • #1
peaceandlove
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Homework Statement


A steam iron draws 5.3 A from a 114 V line. (a) How much internal energy is produced in 76 minutes? Answer in J. (b) How much does it cost at $0.75/kW*hr to run the steam iron for 76 minutes? Answer in units of cents.


Homework Equations


1) U = VIt


The Attempt at a Solution


Using equation 1, I found the internal energy produced to be 2755152 J. However, I'm having a problem with figuring out part (b). I know I'm supposed to convert J to kW*hr in order to figure out the cost and that 1 watt = 1 J/s. Using that information I divided the internal energy by the time, 4560 seconds, giving me 604.2 watts or 0.6042 kW. I then times that by the cost per kW/hr and the amount of time in hours. I got 0.57399, but for some reason it's not the right answer.
 
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  • #2
2755152 J =2755152 Ws

Divide by 1000 to get it in kWs, then divide by 3600s to get it in kW*hr
 
  • #3
peaceandlove said:
Answer in units of cents.
... I got 0.57399, but for some reason it's not the right answer.

Maybe enter it in cents?
 
  • #4
rock.freak667 said:
2755152 J =2755152 Ws

Divide by 1000 to get it in kWs, then divide by 3600s to get it in kW*hr

I tried that and I get the same exact answer that I got. I even tried putting it in as 0.57 but that was marked wrong as well...
 
  • #5
peaceandlove said:
I tried that and I get the same exact answer that I got. I even tried putting it in as 0.57 but that was marked wrong as well...

Your answer is $0.57399, convert that into cents.
 

Related to How Do You Calculate the Cost of Running a Steam Iron?

1. What are unit conversions and why are they important in science?

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While online conversion tools can be helpful, it is important to understand the concept of unit conversions and how to perform them manually. This will allow you to double check your results and ensure accuracy. Additionally, some conversion tools may not have all the units or conversion factors needed for a specific calculation.

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