What is the length of a one-dimensional box for an electron (9.109 x 10-31 kg) with an n=1 energy of 479 kj/mol? give the answer in angstroms (a).

Answer : The length of a one-dimensional box for an electron is

Explanation :

The energy level of quantum particle in a one-dimensional box is given as:

where,

= 479 kJ/mol = 479000 J/mol

n = energy level = 1

h = Planck's constant =

m = mass of electron =

L = length of a one-dimensional box = ?

Now put all the given values in the above formula, we get:

conversion used :

Therefore, the length of a one-dimensional box for an electron is