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Answer :
To find out how many kilowatt-hours of electrical energy are consumed in one year by using ten 100-watt lightbulbs for five hours per day, follow these steps:
1. Understand the Setup: You have 10 lightbulbs, each with a power rating of 100 watts. They are used for 5 hours every day.
2. Daily Energy Consumption:
- First, calculate the energy consumed by one lightbulb in one day.
- Multiply the power of one lightbulb (100 watts) by the number of hours used per day (5 hours).
- [tex]\( 100 \text{ watts} \times 5 \text{ hours} = 500 \text{ watt-hours} \)[/tex] per lightbulb per day.
3. Expand to All Lightbulbs:
- Since there are 10 lightbulbs, multiply the daily consumption of one bulb by 10.
- [tex]\( 500 \text{ watt-hours} \times 10 = 5000 \text{ watt-hours} \)[/tex] per day for all lightbulbs.
4. Annual Energy Consumption:
- Calculate the total energy consumption in one year by multiplying the daily consumption by the number of days in a year (365 days).
- [tex]\( 5000 \text{ watt-hours/day} \times 365 \text{ days} = 1,825,000 \text{ watt-hours/year} \)[/tex].
5. Convert to Kilowatt-hours:
- Convert the total annual energy consumption from watt-hours to kilowatt-hours (since 1 kilowatt = 1000 watts).
- Divide the total watt-hours by 1000.
- [tex]\( 1,825,000 \text{ watt-hours} \div 1000 = 1825 \text{ kilowatt-hours/year} \)[/tex].
Therefore, using the lightbulbs, approximately 1825 kilowatt-hours of electrical energy are consumed in one year.
1. Understand the Setup: You have 10 lightbulbs, each with a power rating of 100 watts. They are used for 5 hours every day.
2. Daily Energy Consumption:
- First, calculate the energy consumed by one lightbulb in one day.
- Multiply the power of one lightbulb (100 watts) by the number of hours used per day (5 hours).
- [tex]\( 100 \text{ watts} \times 5 \text{ hours} = 500 \text{ watt-hours} \)[/tex] per lightbulb per day.
3. Expand to All Lightbulbs:
- Since there are 10 lightbulbs, multiply the daily consumption of one bulb by 10.
- [tex]\( 500 \text{ watt-hours} \times 10 = 5000 \text{ watt-hours} \)[/tex] per day for all lightbulbs.
4. Annual Energy Consumption:
- Calculate the total energy consumption in one year by multiplying the daily consumption by the number of days in a year (365 days).
- [tex]\( 5000 \text{ watt-hours/day} \times 365 \text{ days} = 1,825,000 \text{ watt-hours/year} \)[/tex].
5. Convert to Kilowatt-hours:
- Convert the total annual energy consumption from watt-hours to kilowatt-hours (since 1 kilowatt = 1000 watts).
- Divide the total watt-hours by 1000.
- [tex]\( 1,825,000 \text{ watt-hours} \div 1000 = 1825 \text{ kilowatt-hours/year} \)[/tex].
Therefore, using the lightbulbs, approximately 1825 kilowatt-hours of electrical energy are consumed in one year.
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