kJ to kWh Converter - Kilojoule to Kilowatt-hour
Kilojoule (kJ) to Kilowatt-hour (kWh)
Direct answer
1 kJ = 0.000277777778 kWh
kWh = kJ × 0.000277777778
Converter
Conversion formula
kWh = kJ × 0.000277777778
kJ = kWh × 3,600
Example: 10 kJ = 10 × 0.000277777778 = 0.002777777778 kWh.
Common conversion table
| kJ | kWh |
|---|---|
| 1 kJ | 0.000277777778 kWh |
| 2 kJ | 0.000555555556 kWh |
| 5 kJ | 0.001388888889 kWh |
| 10 kJ | 0.002777777778 kWh |
| 20 kJ | 0.005555555556 kWh |
| 50 kJ | 0.013888888889 kWh |
| 100 kJ | 0.027777777778 kWh |
| 1,000 kJ | 0.277777777778 kWh |
Conversion derivation
Express both kJ and kWh in the same base unit J (joule), then cancel the shared base unit.
- 1
Rewrite kJ in the base unit
- 2
Rewrite kWh in the base unit
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Forward conversion
- 4
Reverse conversion
AI explanation for this conversion
This pre-generated explanation is schema-checked. Numeric results still come from the page formula and calculator.
Why the kJ to kWh conversion factor holds
The conversion factor between kilojoules and kilowatt-hours is derived by expressing both units in terms of the base unit joule. Since 1 kilojoule equals 1,000 joules and 1 kilowatt-hour equals 3,600,000 joules, dividing the joule values yields the fixed ratio.
Definition
A kilojoule (kJ) is a unit of energy equal to 1,000 joules. A kilowatt-hour (kWh) is a unit of energy equal to the energy consumed by a one-kilowatt appliance operating for one hour, which is 3,600,000 joules.
Principle
The principle is that energy units can be directly compared when expressed in the same base unit (joule). The conversion factor is the exact ratio of their definitions in joules, so multiplying by this factor converts from one unit to the other.
Assumptions
- The definitions of kilojoule and kilowatt-hour are exact as 1,000 joules and 3,600,000 joules respectively.
- The conversion is purely a mathematical ratio and does not depend on external conditions.
Cautions
- This conversion factor is exact but may be rounded in practical use; the provided factor (0.000277777778) is a rounded representation.
- When using the factor, ensure the precision of your calculation matches the context to avoid rounding errors.
FAQ
How many kWh are in 1 kJ?
1 kJ = 0.000277777778 kWh.
How many kWh are in 10 kJ?
10 kJ = 0.002777777778 kWh.
How many kWh are in 100 kJ?
100 kJ = 0.027777777778 kWh.
What is the formula to convert kJ to kWh?
Use kWh = kJ × 0.000277777778.
How many kJ are in 1 kWh?
1 kWh = 3,600 kJ.
What should I check when converting kJ to kWh?
Use the conversion factor and round the result to the precision required by your calculation.