Question

if the energy is associated with n=1 is -1,312 kJ/mol, which principle energy level corresponds with an energy value of -328kJ/mol? A. 1 B. 2 C. 3 D. 4 E. 5

Answer 1

Using the Rydberg formula and the given energy levels, we find that the principal energy level corresponding to an energy value of -328 kJ/mol is level 2.

Step-by-step explanation:

If the energy associated with n=1 is -1,312 kJ/mol, we can use the Rydberg formula to determine which principal energy level corresponds with an energy value of -328 kJ/mol. According to the Rydberg formula, the energy of an electron in a hydrogen atom is inversely proportional to the square of the principal quantum number n (E_n ∝ 1/n²). Thus, we can set up a ratio:

E₂/E₁ = (1/n₁²) / (1/n₂²)

Substituting the known values we get:

-328 kJ/mol / -1,312 kJ/mol = (1/1²) / (1/n₂²)

Simplifying, we get:

1/4 = 1 / n₂²

Therefore, n₂ = 2, which means the principal energy level corresponding to -328 kJ/mol is 2.