cal to eV Converter - Calorie to Electron Volt

Conversion derivation

Express both cal and eV 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 eV in the base unit

   $$1\mathrm{eV}=1.60217663\times 10^{-19}\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cal}& =\frac{4.184\cancel{\mathrm{J}}}{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}\times 1\mathrm{eV}\\ & =\frac{4.184}{1.60217663\times 10^{-19}}\mathrm{eV}\\ & =2.6114474\times 10^{19}\mathrm{eV}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{eV}& =\frac{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}{4.184\cancel{\mathrm{J}}}\times 1\mathrm{cal}\\ & =\frac{1.60217663\times 10^{-19}}{4.184}\mathrm{cal}\\ & =3.82929406\times 10^{-20}\mathrm{cal}\end{array}$$