kJ to cal Converter - Kilojoule to Calorie

Conversion derivation

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

1. 1

   Rewrite kJ in the base unit

   $$1\mathrm{kJ}=1,000\mathrm{J}$$
2. 2

   Rewrite cal in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kJ}& =\frac{1,000\cancel{\mathrm{J}}}{4.184\cancel{\mathrm{J}}}\times 1\mathrm{cal}\\ & =\frac{1,000}{4.184}\mathrm{cal}\\ & =239.005736138\mathrm{cal}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{cal}& =\frac{4.184\cancel{\mathrm{J}}}{1,000\cancel{\mathrm{J}}}\times 1\mathrm{kJ}\\ & =\frac{4.184}{1,000}\mathrm{kJ}\\ & =0.004184\mathrm{kJ}\end{array}$$