kcal to erg Converter - Kilocalorie to Erg

Conversion derivation

Express both kcal and erg 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 erg in the base unit

   $$1\mathrm{erg}=1\times 10^{-7}\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kcal}& =\frac{4,184\cancel{\mathrm{J}}}{1\times 10^{-7}\cancel{\mathrm{J}}}\times 1\mathrm{erg}\\ & =\frac{4,184}{1\times 10^{-7}}\mathrm{erg}\\ & =4.184\times 10^{10}\mathrm{erg}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{erg}& =\frac{1\times 10^{-7}\cancel{\mathrm{J}}}{4,184\cancel{\mathrm{J}}}\times 1\mathrm{kcal}\\ & =\frac{1\times 10^{-7}}{4,184}\mathrm{kcal}\\ & =2.39005736\times 10^{-11}\mathrm{kcal}\end{array}$$