It is possible to determine the ionization energy for hydrogen using the Bohr equation. Calculate the ionization energy for an atom of hydrogen, making the assumption that ionization is the transition from n=1 to n=infinity.

I don't know how to solve this problem.

A. -2.18 x 10-18 J
B. +2 .18 x 10-18 J
C. +4.59 x 10-18 J
D. -4.59 x 10-18 J
E. +4.36 x 10-18 J

3 answers

1/wavelength = R(1/1^2 - 0)
Note: that last term is 1/n^2 but if n = infinity then 1/infinity is zero.
R = Rydberg constant = 1.0973E7
Solve for wavelength in meters then E =hc/wavelength to solve for energy in joules. You may want to change that to electron volts.
1/W(WAVELENGTH)=1.097*10^9[1-0]
W=9.09*10^-8m
E=hc/w
6.63*10^-34*3*10^8/9.09*10^-8
=2.18*10^-18 J B IS THE ANSWER
It is possible to determine the ionization energy for hydrogen using the Bohr equation. Calculate the ionization energy (in kJ) for a mole of hydrogen atoms, making the assumption that ionization is the transition from n=1 to n= infinity.