Question

A particular energy level in the hydrogen atom has E = -2.42 x 10-19 J. Use Bohr's model of the energy levels in hydrogen to calculate n for this level. Recall that atomic number (Z) of hydrogen is 1.

Answer 1

Answer:

n=3

Explanation:

The expression for the energy of an electron for the hydrogen atom in the nth orbit is:-

$E_n=-2.18\times 10^{-18}\times \frac{1}{n^2}\ Joules$

Given that:-

$E_n=-2.42\times 10^{-19}\ Joules$

Applying in the equation to find the value of n as:-

$-2.42\times 10^{-19}=-2.18\times 10^{-18}\times \frac{1}{n^2}$

$n^2=\frac{2.18\times 10^{-18}}{2.42\times 10^{-19}}$

$n=\sqrt{\frac{21.8}{2.42}}=3$