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Q. 56

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1116

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Short Answer

The first three energy levels of the fictitious element X are shown in Figure.

a. What is the ionization energy of element X?

b. What wavelengths are observed in the absorption spectrum of element X? Express your answers in nm.

c. State whether each of your wavelengths in part b corresponds to ultraviolet, visible, or infrared light.

(a) The ionization energy of element X is

(b) The absorption spectrum of element X is

(c) Both wavelengths belong to the UV spectral range.

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information

The ionisation energy of an element is a measurement of its capacity to participate in chemical reactions that require ion creation or electron donation.

Part (a) Step 2: Finding ionisation energy

The energy of ionisation is

Part (b) Step 2: Given information

The energy transferred to the atom by the photon is not the same as the energy transferred to the atom by the collision.

Part (b) Step 2: Calculations

We can now begin expressing the photon's energy.

Part (c) Step 1 : Given information 

Each of your wavelengths in part b corresponds to ultraviolet, visible, or infrared light.

Part (c) Step 2: 

Both wavelengths belong to the UV spectral region.

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