kcal vers MeV convertisseur - Kilocalorie vers Méga Électron-Volt

Conversion derivation

Express both kcal and MeV 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 MeV in the base unit

   $$1\mathrm{MeV}=1.60217663\times 10^{-13}\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kcal}& =\frac{4,184\cancel{\mathrm{J}}}{1.60217663\times 10^{-13}\cancel{\mathrm{J}}}\times 1\mathrm{MeV}\\ & =\frac{4,184}{1.60217663\times 10^{-13}}\mathrm{MeV}\\ & =2.6114474\times 10^{16}\mathrm{MeV}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{MeV}& =\frac{1.60217663\times 10^{-13}\cancel{\mathrm{J}}}{4,184\cancel{\mathrm{J}}}\times 1\mathrm{kcal}\\ & =\frac{1.60217663\times 10^{-13}}{4,184}\mathrm{kcal}\\ & =3.82929406\times 10^{-17}\mathrm{kcal}\end{array}$$