Interpretation:
The wavelength
Concept Introduction:
The wave nature of any light can be described by its frequency, wavelength, and amplitude. The wavelength
The relation between frequency
Here,
The relation between the energy
Here,
The expression to calculate the energy of each wave function for any atomic species with one electron is as follows:
Here,
Answer to Problem 7.67QE
The wavelength of the line of hydrogen spectrum for a given transition is
Explanation of Solution
Substitute 3 for
Substitute 1 for
The expression to calculate the energy released in the transition from
Substitute
Therefore, the energy released in the given transition is
Substitute
Rearrange equation (5) to calculate the value of
Substitute
Since the wavelength of transition is
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Chapter 7 Solutions
Chemistry: Principles and Practice
- According to a relationship developed by Niels Bohr, for an atom or ion that has a single electron, the total energy, En, of an electron in a stable orbit of quantum number n is En = [Z2/n2] (2.179 1018 J) where Z is the atomic number. Calculate the ionization energy for the electron in a ground-state He+ ion.arrow_forward6.96 When a helium atom absorbs light at 58.44 nm, an electron is promoted from the 1s orbital to a 2p orbital. Given that the ionization energy of (ground state) helium is 2372 kJ/ mol, find the longest wavelength of light that could eject an electron from the excited state helium atom.arrow_forward• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forward
- A bright violet line occurs at 435.8 nm in the emission spectrum of mercury vapor. What amount of energy, in joules, must be released by an electron in a mercury atom to produce a photon of this light?arrow_forwardWhat is the maximum number of electrons that can occupy a f subshell (l = 3)?arrow_forwardThe energy emitted when an electron moves from a higher energy state to a lower energy state in any atom can be observed as electromagnetic radiation. (a) Which involves the emission of less energy in the H atom, an electron moving from n = 4 to n = 2 or an electron moving from n = 3 to n = 2? (b) Which involves the emission of more energy in the H atom, an electron moving from n = 4 to n = 1 or an electron moving from n = 5 to n = 2? Explain fully.arrow_forward
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