# Energy required to ionize a hydrogen atom from n=1

by tony873004
Tags: atom, energy, hydrogen, ionize, required
 Sci Advisor PF Gold P: 1,542 We were given this formula in class: $$delta E= chR (\frac{1}{1^2} - \frac{1}{inf})$$ the $$1/1^2$$ is because it is in ground state. So the formula simplifies to $$chR$$ c = 299792000 h = 6.626E-34 R = 10970000 and $$1.60217653*10^{19} Joules / eV$$ I get: $$1.36009026784583 * 10^{-37} eV$$ The teacher did it in class and got 13.6 eV Same answer, just 38 magnitudes off What am I doing wrong? ** edit ** I figured it out. It's not 19, its -19 for Joules to eV
 Sci Advisor HW Helper P: 11,926 There you go:you have scientifically proven that $10^{-19}$ and $10^{19}$ are 38 orders of magnitude apart.Congratulations!! Daniel.