Question

What is the ratio of 1 kWh to 1 MeV?

Answer 1

1. The full form of kWh is a kilowatt-hour
2. kWh is defined as the unit of energy equal to one kilowatt of power sustained for one hour.
3. One watt is defined as the power produced when 1 Joule of work is done for 1 second.
4. So, $1kWh={10}^{3}J{s}^{-1}\times 60\times 60s=3.6\times {10}^{6}J$
5. The full form of MeV is mega electron volt.
6. An electron volt (eV) is defined as the unit of kinetic energy gained by a single electron accelerating from the rest through an electric potential difference of one volt in vaccum.
7. One eV is equal to $1.602\times {10}^{-19}J$
8. So, $1MeV={10}^6\times 1.6\times {10}^{-19}J=1.6\times {10}^{-13}J$
9. The ratio of 1 kWh to 1 MeV is $\frac{1kWh}{1MeV}=\frac{3.6\times {10}^{6}J}{1.6\times {10}^{-13}J}=2.25\times {10}^{19}$

Hence, the ratio of 1 kWh to 1 MeV is $2.25\times {10}^{19}$.