kWh a eV convertidor - Kilovatio-hora a Electronvoltio

Conversion derivation

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

1. 1

   Rewrite kWh in the base unit

   $$1\mathrm{kWh}=3,600,000\mathrm{J}$$
2. 2

   Rewrite eV in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kWh}& =\frac{3,600,000\cancel{\mathrm{J}}}{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}\times 1\mathrm{eV}\\ & =\frac{3,600,000}{1.60217663\times 10^{-19}}\mathrm{eV}\\ & =2.24694327\times 10^{25}\mathrm{eV}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{eV}& =\frac{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}{3,600,000\cancel{\mathrm{J}}}\times 1\mathrm{kWh}\\ & =\frac{1.60217663\times 10^{-19}}{3,600,000}\mathrm{kWh}\\ & =4.45049065\times 10^{-26}\mathrm{kWh}\end{array}$$