kJ in kWh Umrechner - Kilojoule in Kilowattstunde

Conversion derivation

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

1. 1

   Rewrite kJ in the base unit

   $$1\mathrm{kJ}=1,000\mathrm{J}$$
2. 2

   Rewrite kWh in the base unit

   $$1\mathrm{kWh}=3,600,000\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kJ}& =\frac{1,000\cancel{\mathrm{J}}}{3,600,000\cancel{\mathrm{J}}}\times 1\mathrm{kWh}\\ & =\frac{1,000}{3,600,000}\mathrm{kWh}\\ & =0.000277777778\mathrm{kWh}\end{array}$$
4. 4

   Reverse conversion

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