`1kWh=`

Options

A. `1000W`
B. `36xx10^(5)J`
C. `1000J`
D. `3600J`

Answer

To solve the question "1 kWh = ?", we need to convert kilowatt-hours (kWh) into joules. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the units
1 kWh stands for one kilowatt-hour, which is a unit of energy. It represents the amount of energy consumed when a power of one kilowatt (kW) is used for one hour.

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

### Step 3: Convert hours to seconds
1 hour is equal to 3600 seconds. Thus:
\[ 1 \text{ hour} = 3600 \text{ seconds} \]

### Step 4: Substitute the time conversion into the energy equation
Now we can substitute the time conversion into our equation:
\[ 1 \text{ kWh} = 1000 \text{ W} \times 3600 \text{ seconds} \]

### Step 5: Calculate the energy in joules
Since 1 watt is defined as 1 joule per second (1 W = 1 J/s), we can express watt-seconds as joules:
\[ 1 \text{ kWh} = 1000 \text{ W} \times 3600 \text{ s} = 1000 \times 3600 \text{ J} \]
Now, calculating this gives:
\[ 1000 \times 3600 = 3600000 \text{ J} \]

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

### Final Answer
Thus, we conclude that:
\[ 1 \text{ kWh} = 3.6 \times 10^6 \text{ J} \]