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A small commercial customer replaces 100 60-watt incandescent lamps with 100 15-watt fluorescent lamps. The lamps operate eleven hours per day, six days per week. The service provider charges 3.83 rupees per kWh.

Calculate the energy savings for one month.

Answer :

When we replace the 100 60-watt incandescent lamps with 100 15-watt fluorescent lamps, the energy savings for one month would be approximately 1,285.01 kWh.

What is the energy savings for one month?

When we are calculating the energy saving in a month, we have to compare the consumption of energy of the previous lamps to the new ones.

The consumption of energy in the old lamps is calculated as;

Power consumption per lamp = 60 watts

Number of lamps = 100

Hours of operation per day = 11

Days of operation per week = 6

Energy consumption per week = Power consumption per lamp * Number of lamps * Hours of operation per day * Days of operation per week

Energy consumption per week = 60 watts * 100 lamps * 11 hours/day * 6 days/week

Energy consumption per week = 396,000 watt-hours

The energy consumption of the new fluorescent lamps can be calculated as follows:

Power consumption per lamp = 15 watts

Number of lamps = 100

Hours of operation per day = 11

Days of operation per week = 6

Energy consumption per week = Power consumption per lamp * Number of lamps * Hours of operation per day * Days of operation per week

Energy consumption per week = 15 watts * 100 lamps * 11 hours/day * 6 days/week

Energy consumption per week = 99,000 watt-hours

Energy savings per week = Energy consumption per week (old) - Energy consumption per week (new)

Energy savings per week = 396,000 watt-hours - 99,000 watt-hours

Energy savings per week = 297,000 watt-hours

Let's multiply the weekly savings by 4.

Energy savings for one month = Energy savings per week * Number of weeks in a month

Energy savings for one month = 297,000 watt-hours * 4 weeks

Energy savings for one month = 1,285,010 watt-hours

Let's divide by 1000 to change the w-h to kw-h;

Energy savings for one month = 1,285,010 watt-hours / 1,000

Energy savings for one month = 1,285.01 kWh

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