kcal to kWh Converter - Kilocalorie to Kilowatt-hour

Conversion derivation

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

1. 1

   Rewrite kcal in the base unit

   $$1\mathrm{kcal}=4,184\mathrm{J}$$
2. 2

   Rewrite kWh in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kcal}& =\frac{4,184\cancel{\mathrm{J}}}{3,600,000\cancel{\mathrm{J}}}\times 1\mathrm{kWh}\\ & =\frac{4,184}{3,600,000}\mathrm{kWh}\\ & =0.001162222222\mathrm{kWh}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{kWh}& =\frac{3,600,000\cancel{\mathrm{J}}}{4,184\cancel{\mathrm{J}}}\times 1\mathrm{kcal}\\ & =\frac{3,600,000}{4,184}\mathrm{kcal}\\ & =860.420650096\mathrm{kcal}\end{array}$$