Wh to kJ Converter - Watt-hour to Kilojoule

Conversion derivation

Express both Wh and kJ in the same base unit J (joule), then cancel the shared base unit.

1. 1

   Rewrite Wh in the base unit

   $$1\mathrm{Wh}=3,600\mathrm{J}$$
2. 2

   Rewrite kJ in the base unit

   $$1\mathrm{kJ}=1,000\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{Wh}& =\frac{3,600\cancel{\mathrm{J}}}{1,000\cancel{\mathrm{J}}}\times 1\mathrm{kJ}\\ & =\frac{3,600}{1,000}\mathrm{kJ}\\ & =3.6\mathrm{kJ}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{kJ}& =\frac{1,000\cancel{\mathrm{J}}}{3,600\cancel{\mathrm{J}}}\times 1\mathrm{Wh}\\ & =\frac{1,000}{3,600}\mathrm{Wh}\\ & =0.277777777778\mathrm{Wh}\end{array}$$