1 kWH= _____ J

Options

A. `3.6 xx 10^(-8)`
B. `3.6 xx 10^(-6)`
C. `3.6 xx 10^(8)`
D. `3.6 xx 10^(6)`

Answer

To find out how many Joules are in 1 kilowatt-hour (kWh), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Units**:
- 1 kilowatt (kW) = 1000 watts (W).
- 1 hour = 3600 seconds.

2. **Convert kilowatt-hour to watt-seconds**:
- Since 1 kWh is equal to 1 kW used for 1 hour, we can express this in terms of watts and seconds:
\[ 1 \text{ kWh} = 1 \text{ kW} \times 1 \text{ hour} = 1000 \text{ W} \times 3600 \text{ seconds} \]

3. **Calculate the total in watt-seconds**:
- Now we can multiply the values:
\[ 1000 \text{ W} \times 3600 \text{ seconds} = 3600000 \text{ watt-seconds} \]

4. **Convert watt-seconds to Joules**:
- Since 1 watt-second is equal to 1 Joule (J), we can say:
\[ 3600000 \text{ watt-seconds} = 3600000 \text{ J} \]

5. **Express in scientific notation**:
- To express 3600000 in scientific notation:
\[ 3600000 = 3.6 \times 10^6 \text{ J} \]

### Final Answer:
Thus, 1 kWh = \( 3.6 \times 10^6 \) J.

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