Question

Your electric utility bill probably shows your energy use for the month in units of kilowatt-hours. A kilowatt-hour is defined as the energy used in 1 hour at a rate of 1 kilowatt (1,000 watts); that is, 1 kilowatt-hour = 1 kilowatt × 1 hour. Use this fact to convert 1 kilowatt-hour into joules.

Answer 1

In summary, 1 kilowatt-hour (kWh) is equal to 3,600,000 joules.

Step-by-step explanation:

1. A kilowatt-hour (kWh) is the energy used in 1 hour at a rate of 1 kilowatt (1,000 watts).

2. We know that 1 kilowatt-hour (kWh) is equal to 1 kilowatt (kW) multiplied by 1 hour.

3. To convert kilowatts to watts, we multiply by 1,000 since 1 kilowatt = 1,000 watts.

4. Therefore, 1 kilowatt-hour (kWh) is equal to 1,000 watts multiplied by 1 hour.

5. To convert hours to seconds, we multiply by 3,600 since there are 3,600 seconds in 1 hour.

6. So, 1 kilowatt-hour (kWh) is equal to 1,000 watts multiplied by 3,600 seconds.

7. Finally, to convert watts to joules, we multiply by the conversion factor 1 joule = 1 watt-second.

8. Therefore, 1 kilowatt-hour (kWh) is equal to 1,000 watts multiplied by 3,600 seconds multiplied by 1 joule.