J in cal Umrechner - Joule in Kalorie

Conversion derivation

Express both J and cal 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 cal in the base unit

   $$1\mathrm{cal}=4.184\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{J}& =\frac{1\cancel{\mathrm{J}}}{4.184\cancel{\mathrm{J}}}\times 1\mathrm{cal}\\ & =\frac{1}{4.184}\mathrm{cal}\\ & =0.239005736138\mathrm{cal}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{cal}& =\frac{4.184\cancel{\mathrm{J}}}{1\cancel{\mathrm{J}}}\times 1\mathrm{J}\\ & =\frac{4.184}{1}\mathrm{J}\\ & =4.184\mathrm{J}\end{array}$$