cal vers kcal convertisseur - Calorie vers Kilocalorie

Conversion derivation

Express both cal and kcal 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 kcal in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cal}& =\frac{4.184\cancel{\mathrm{J}}}{4,184\cancel{\mathrm{J}}}\times 1\mathrm{kcal}\\ & =\frac{4.184}{4,184}\mathrm{kcal}\\ & =0.001\mathrm{kcal}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{kcal}& =\frac{4,184\cancel{\mathrm{J}}}{4.184\cancel{\mathrm{J}}}\times 1\mathrm{cal}\\ & =\frac{4,184}{4.184}\mathrm{cal}\\ & =1,000\mathrm{cal}\end{array}$$