J vers kcal convertisseur - Joule vers Kilocalorie

Conversion derivation

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

1. 1

   Rewrite J in the base unit

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

   Rewrite kcal in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{J}& =\frac{1\cancel{\mathrm{J}}}{4,184\cancel{\mathrm{J}}}\times 1\mathrm{kcal}\\ & =\frac{1}{4,184}\mathrm{kcal}\\ & =0.000239005736\mathrm{kcal}\end{array}$$
4. 4

   Reverse conversion

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