Question

How much energy in joules is required to change the energy state of the H-atom electron from n=3 to n=4?

a) Need additional information for calculation
b) 2.04 × 10⁻19 J
c) 1.89 × 10⁻19 J
d) 1.66 × 10⁻19 J

Answer 1

The energy required to change the energy state of the hydrogen atom electron from n=3 to n=4 is approximately 1.06 x 10^-19 J.

Step-by-step explanation:

The energy required to change the energy state of the hydrogen atom electron from n=3 to n=4 can be calculated using the equation:

E = -13.6 eV * (1/n2final - 1/n2initial)

Substituting the values, we get:

E = -13.6 eV * (1/42 - 1/32) = -13.6 eV * (1/16 - 1/9)

E = -13.6 eV * (9/144 - 16/144) = -13.6 eV * (-7/144)

E = 13.6 eV * (7/144) = 0.6633 eV

To convert from electron volts (eV) to joules (J), we use the conversion factor 1 eV = 1.602 x 10-19 J.

Therefore, the energy required is:

0.6633 eV * 1.602 x 10-19 J = 1.06 x 10-19 J