How Much Energy and Money Does Switching to a Compact Fluorescent Lamp Save?

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Homework Help Overview

The discussion revolves around the energy savings and cost implications of switching from a 100-W incandescent bulb to a 20-W compact fluorescent lamp over a lifetime of 10,000 hours. Participants are exploring the calculations related to energy consumption and financial savings.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants attempt to calculate the energy savings in watt-hours and kilowatt-hours, questioning the conversion between these units. There are discussions on how to compute the monetary savings based on energy costs.

Discussion Status

Several participants have provided calculations and conversions, with some confirming the results and others reiterating the steps. There is a general agreement on the calculations leading to a monetary savings figure, although the exact process is discussed with varying interpretations.

Contextual Notes

Participants are working under the assumption of a specific energy cost per kilowatt-hour and are clarifying unit conversions related to watt-hours and kilowatt-hours. There is some confusion regarding the correct interpretation of the savings calculations.

mz19
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A.) A 20-W compact fluorescent lamp replaces a 100-W incandescent bulb. How much energy does it save over its 10,000 hour lifetime?
B.) At $0.10 per kilowatt-hour, how much money does this save?

My attempt at answering:

Difference is wattage is 80-W, multiplied by 10,000 hours is 800,000 (not sure of the label here, is it Kilowatt hours?) saved.

Is part B just multiplying the 800,000 (UNIT) saved times (0.10) to get $80,000 saved?


Thank you for your help!
 
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UNIT: simple
80 watt times 10,000 hours = 80 times 10,000 x watt times hours = 80,000 watt-hours.

B:
How many kw-hours is 80, 000 watt-hours?
 
80000 watt hours is 80kwh. So multiply 80 kWh to get $8.00?
 
mz19 said:
80000 watt hours is 80kwh. So multiply 80 kWh to get $8.00?
Ofcourse. 80 x 0.1 = 8

Or you can do this:
0.1$ --> 1Kwh
x --> 80

Just cross multiply, :wink: .
 
256bits said:
UNIT: simple
80 watt times 10,000 hours = 80 times 10,000 x watt times hours = 80,000 watt-hours.

B:
How many kw-hours is 80, 000 watt-hours?

80x10000=800,000.
So you save 80 bucks
 

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