kJ to Wh Converter - Kilojoule to Watt-hour
Kilojoule (kJ) to Watt-hour (Wh)
Direct answer
1 kJ = 0.277777777778 Wh
Wh = kJ × 0.277777777778
Converter
Conversion formula
Wh = kJ × 0.277777777778
kJ = Wh × 3.6
Example: 10 kJ = 10 × 0.277777777778 = 2.77777777778 Wh.
Common conversion table
| kJ | Wh |
|---|---|
| 1 kJ | 0.277777777778 Wh |
| 2 kJ | 0.555555555556 Wh |
| 5 kJ | 1.38888888889 Wh |
| 10 kJ | 2.77777777778 Wh |
| 20 kJ | 5.55555555556 Wh |
| 50 kJ | 13.8888888889 Wh |
| 100 kJ | 27.7777777778 Wh |
| 1,000 kJ | 277.777777778 Wh |
Conversion derivation
Express both kJ and Wh in the same base unit J (joule), then cancel the shared base unit.
- 1
Rewrite kJ in the base unit
- 2
Rewrite Wh in the base unit
- 3
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 Wh conversion factor holds
This conversion relates two units of energy by expressing each in terms of the common joule (J). Since 1 kilojoule equals 1,000 joules and 1 watt-hour equals 3,600 joules, the ratio of these values gives the conversion factor.
Definition
A kilojoule (kJ) is a unit of energy equal to 1,000 joules. A watt-hour (Wh) is a unit of energy equal to the amount of energy consumed by a one-watt device operating for one hour, which is 3,600 joules.
Principle
The conversion factor is derived by rewriting both units in joules, the base SI unit for energy. The factor 0.277777777778 for kJ to Wh is the ratio 1,000/3,600, and the reverse factor 3.6 for Wh to kJ is the ratio 3,600/1,000.
Assumptions
- Both kJ and Wh are units of energy and can be directly compared.
- The conversion uses the exact definitions: 1 kJ = 1,000 J and 1 Wh = 3,600 J.
- No other physical effects or context (e.g., efficiency) are considered in this mathematical conversion.
Cautions
- This is a mathematical equivalence; practical use may require rounding to the precision needed for your calculation.
- Ensure you are converting energy, not power, as the watt-hour is an energy unit derived from power.
FAQ
How many Wh are in 1 kJ?
1 kJ = 0.277777777778 Wh.
How many Wh are in 10 kJ?
10 kJ = 2.77777777778 Wh.
How many Wh are in 100 kJ?
100 kJ = 27.7777777778 Wh.
What is the formula to convert kJ to Wh?
Use Wh = kJ × 0.277777777778.
How many kJ are in 1 Wh?
1 Wh = 3.6 kJ.
What should I check when converting kJ to Wh?
Use the conversion factor and round the result to the precision required by your calculation.