Sure, I'd be happy to explain this step-by-step.
First, let's start by understanding the relationship between kilowatt-hours (kWh) and joules (J). One kilowatt-hour is a unit of energy that is equivalent to using one kilowatt (kW) of power for one hour (h). The conversion factor between kilowatt-hours and joules is crucial here:
1 kWh = 3,600,000 J (or 3.6 × 10^6 joules)
Now, we need to convert 12 kilowatt-hours into joules. To do this, we multiply the number of kilowatt-hours by the number of joules in one kilowatt-hour.
So, we have:
[tex]\[
12 \, \text{kWh} \times 3,600,000 \, \frac{\text{J}}{\text{kWh}}
\][/tex]
Carrying out this multiplication, we get:
[tex]\[
12 \times 3,600,000 = 43,200,000 \, \text{J}
\][/tex]
Therefore, 12 kilowatt-hours (kWh) is equivalent to 43,200,000 joules (J).
This is your final answer:
[tex]\[
12 \, \text{kWh} = 43,200,000 \, \text{J}
\][/tex]
