Table of contents

9. Quantum Mechanics

Bohr Model

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Multiple Choice

If the energy of an electron within the boron atom was calculated as –6.0556 x 10^-18 J, at what energy level would it reside?

Verified step by step guidance

Understand that the energy of an electron in an atom is given by the formula:

E = - \frac{R_{H}}{z^{2}}

, where RH is the Rydberg constant (2.18 x 10^-18 J), z is the atomic number, and n is the principal quantum number or energy level.

Identify the atomic number of boron, which is

5

Rearrange the formula to solve for

n

n = \sqrt{\frac{R_{H}}{z^{2}}}

Substitute the given energy value

- 6.0556 \times 10^{- 18}

J, the Rydberg constant, and the atomic number of boron into the rearranged formula.

Calculate the value of

n

to determine the energy level at which the electron resides.

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If the energy of an electron within the boron atom was calculated as –6.0556 x 10-18 J, at what energy level would it reside?