12 kW·h [tex]\(\left| \frac{\ldots \ldots \ldots J}{1 \, \text{kW} \cdot \text{h}} \right| = \ldots \ldots \ldots J\)[/tex]

Rewritten for clarity and completion:
Convert 12 kW·h to joules.

[tex]\[ 12 \, \text{kW} \cdot \text{h} \times \left( \frac{3.6 \times 10^6 \, \text{J}}{1 \, \text{kW} \cdot \text{h}} \right) = \ldots \ldots \ldots \, \text{J} \][/tex]



Answer :

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]