The number of joules contained in l kWh is

Options

A. `36 xx 10^(2)`
B. `36 xx 10^(3)`
C. `36 xx 10^(4)`
D. `3.6 xx 10^(6)`

Explanation

To find the number of joules contained in 1 kilowatt-hour (kWh), we can follow these steps:

### Step 1: Understand the relationship between power, time, and energy
Energy (in joules) can be calculated using the formula:
\[ \text{Energy} = \text{Power} \times \text{Time} \]
where power is measured in watts (W) and time is measured in seconds (s).

### Step 2: Convert kilowatts to watts
1 kilowatt (kW) is equal to 1000 watts (W). Therefore:
\[ 1 \text{ kWh} = 1000 \text{ W} \]

### Step 3: Convert hours to seconds
1 hour (h) is equal to 3600 seconds (s). Therefore:
\[ 1 \text{ h} = 3600 \text{ s} \]

### Step 4: Substitute the values into the energy formula
Now, substituting the values of power and time into the energy formula:
\[ \text{Energy} = 1000 \text{ W} \times 3600 \text{ s} \]

### Step 5: Calculate the energy in joules
Now, we can calculate:
\[ \text{Energy} = 1000 \times 3600 = 3600000 \text{ J} \]
or in scientific notation:
\[ \text{Energy} = 3.6 \times 10^6 \text{ J} \]

### Final Answer
Thus, the number of joules contained in 1 kilowatt-hour is:
\[ 1 \text{ kWh} = 3.6 \times 10^6 \text{ J} \]

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