One kilowatt hour is equal to

Options

A. `36xx10^(5)` joules
B. `36xx10^(3)` joules
C. `10^(3)` joules
D. `10^(5)` joules

Answer

To find out how much one kilowatt hour (1 kWh) is equal to in Joules, we can follow these steps:

### Step 1: Understand the units
1 kWh is the energy consumed when a power of 1 kilowatt (kW) is used for 1 hour.

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

### Step 3: Convert hours to seconds
1 hour is equal to 3600 seconds (since 1 hour = 60 minutes and 1 minute = 60 seconds):
\[ 1 \text{ hour} = 60 \text{ minutes} \times 60 \text{ seconds/minute} = 3600 \text{ seconds} \]

### Step 4: Calculate energy in Joules
The energy in Joules can be calculated using the formula:
\[ \text{Energy (in Joules)} = \text{Power (in Watts)} \times \text{Time (in seconds)} \]
Substituting the values we have:
\[ \text{Energy} = 1000 \text{ W} \times 3600 \text{ s} = 3600000 \text{ J} \]

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

### Final Answer
Thus, 1 kilowatt hour (1 kWh) is equal to:
\[ 1 \text{ kWh} = 3.6 \times 10^6 \text{ J} \]

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