cal vers kWh convertisseur - Calorie vers Kilowatt-heure

Conversion derivation

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

1. 1

   Rewrite cal in the base unit

   $$1\mathrm{cal}=4.184\mathrm{J}$$
2. 2

   Rewrite kWh in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cal}& =\frac{4.184\cancel{\mathrm{J}}}{3,600,000\cancel{\mathrm{J}}}\times 1\mathrm{kWh}\\ & =\frac{4.184}{3,600,000}\mathrm{kWh}\\ & =0.000001162222\mathrm{kWh}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{kWh}& =\frac{3,600,000\cancel{\mathrm{J}}}{4.184\cancel{\mathrm{J}}}\times 1\mathrm{cal}\\ & =\frac{3,600,000}{4.184}\mathrm{cal}\\ & =860,420.650096\mathrm{cal}\end{array}$$