How Much Energy Does a Kilowatt-Hour Represent?
What is the equivalent amount of joules in a kilowatt-hour?
a. 3,600,000 J/s b. 3600 J/s c. 3,600,000 J d. 3600 J e. 1000 W
The equivalent amount of joules in a kilowatt-hour is:
c. 3,600,000 J
A kilowatt-hour (kWh) equals 3,600,000 joules (J), calculated by converting kilowatts to watts and multiplying by seconds in an hour. This is the energy unit used for electricity consumption.
A kilowatt-hour (kWh) is a unit of energy commonly used to measure electricity consumption. To solve this question, let's break down the components and calculations step by step.
First, let's analyze the units involved:
1 kilowatt-hour (kWh) = 1 kilowatt (kW) × 1 hour (h)
Now, let's convert kilowatts to watts:
1 kilowatt (kW) = 1000 watts (W)
So, 1 kilowatt-hour (kWh) is equivalent to:
1 kWh = 1000 W × 1 h = 1000 W × 3600 s (since 1 hour = 3600 seconds)
Now, calculate the total energy in joules (J):
1 W = 1 J/s (Watt is a unit of power, and Joule is a unit of energy)
Therefore, 1000 W = 1000 J/s
Now, multiply by the number of seconds in an hour (3600 seconds):
1000 J/s × 3600 s = 3,600,000 J
So, a kilowatt-hour (kWh) is equivalent to 3,600,000 joules (J).
The correct answer is: (c) 3,600,000 J.