Wh to kcal Converter - Watt-hour to Kilocalorie

Conversion derivation

Express both Wh and kcal 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 kcal in the base unit

   $$1\mathrm{kcal}=4,184\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{Wh}& =\frac{3,600\cancel{\mathrm{J}}}{4,184\cancel{\mathrm{J}}}\times 1\mathrm{kcal}\\ & =\frac{3,600}{4,184}\mathrm{kcal}\\ & =0.860420650096\mathrm{kcal}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{kcal}& =\frac{4,184\cancel{\mathrm{J}}}{3,600\cancel{\mathrm{J}}}\times 1\mathrm{Wh}\\ & =\frac{4,184}{3,600}\mathrm{Wh}\\ & =1.16222222222\mathrm{Wh}\end{array}$$