5.6 kwh = ?

Options

A. `20.16 xx 10^(6)` J
B. `14.4 xx 10^(6)` J
C. `14.4 xx 10^(8) J`
D. `14.4 xx 10^(5)` J

Answer

To convert 5.6 kWh to joules, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Units**:
- 1 kilowatt-hour (kWh) is the energy equivalent to a power of 1 kilowatt (kW) used for 1 hour.
- 1 kWh = 1 kW × 1 hour.

2. **Convert kW to Watts**:
- Since 1 kW = 1000 watts, we can express 5.6 kWh in watts:
\[ 5.6 \text{ kWh} = 5.6 \times 1000 \text{ watts} = 5600 \text{ watts} \]

3. **Convert Hours to Seconds**:
- 1 hour = 3600 seconds. Therefore, we can express the energy in joules:
\[ 5.6 \text{ kWh} = 5600 \text{ watts} \times 3600 \text{ seconds} \]

4. **Calculate the Energy in Joules**:
- Now, we perform the multiplication:
\[ 5600 \times 3600 = 20160000 \text{ joules} \]

5. **Express in Scientific Notation**:
- To express 20160000 in scientific notation:
\[ 20160000 = 20.16 \times 10^6 \text{ joules} \]

### Final Answer:
Thus, the value of 5.6 kWh is:
\[ \text{5.6 kWh} = 20.16 \times 10^6 \text{ joules} \]