What is this energy in kj/mol?

Question

A proton is accelerated to 13.8 MeV per particle. What is this energy in kJ/mol?

Answer 1

For 1 proton : 13.8 MeV = 13.8x10⁶x1.60218x10^-19 = 2.2110037x10^-12 J

In 1 mol there are 6.02x10²³ protons so :

E = 6.02x10²³x2.2110037x10^-12 = 13.3x10¹¹ J.

So : 13.3x10⁸ kJ/mol = 1.33x10⁹ kJ/mol.