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

n=3

Step-by-step explanation:

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

`E_n=-2.18* 10^(-18)* (1)/(n^2)\ Joules`

Given that:-

`E_n=-2.42* 10^(-19)\ Joules`

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

`-2.42* 10^(-19)=-2.18* 10^(-18)* (1)/(n^2)`

`n^2=(2.18* 10^(-18))/(2.42* 10^(-19))`

`n=\sqrt{(21.8)/(2.42)}=3`