Chemistry: The Molecular Nature of Matter and Change
Chemistry: The Molecular Nature of Matter and Change
9th Edition
ISBN: 9781260477467
Author: Martin Silberberg
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 7, Problem 7.76P

(a)

Interpretation Introduction

Interpretation:

The Bohr radius of the first orbit in the H atom is to be determined.

Concept introduction:

Bohr’s atomic model had the following postulates:

1) The electrons in atoms revolve around the nucleus in certain circular orbits. The orbits are the energy levels. The orbits closer to the nucleus are of lesser energy than the ones further from the nucleus.

2) The energy of an electron changes sharply upon transition from one energy level to another.

3) The angular momentum of an electron moving around the nucleus is quantized. Thus the angular momentum of an electron is a whole number multiple of h/2π.

The Bohr radius equation used to find the radius of an electron’s orbit is as follows:

rn=n2h20πmee2        (1)

Here,

n is the energy level.

h the Plank’s constant.

0 is a constant related to charge attraction in a vacuum.

me is the mass of an electron.

e is the charge on an electron.

(b)

Interpretation Introduction

Interpretation:

The Bohr radius of the tenth orbit in the H atom is to be determined.

Concept introduction:

Bohr’s atomic model had the following postulates:

1) The electrons in atoms revolve around the nucleus in certain circular orbits. The orbits are the energy levels. The orbits closer to the nucleus are of lesser energy than the ones further from the nucleus.

2) The energy of an electron changes sharply upon transition from one energy level to another.

3) The angular momentum of an electron moving around the nucleus is quantized. Thus the angular momentum of an electron is a whole number multiple of h/2π.

The Bohr radius equation used to find the radius of an electron’s orbit is as follows:

rn=n2h20πmee2        (1)

Here,

n is the energy level.

h the Plank’s constant.

0 is a constant related to charge attraction in a vacuum.

me is the mass of an electron.

e is the charge on an electron.

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Chapter 7 Solutions

Chemistry: The Molecular Nature of Matter and Change

Ch. 7.4 - Prob. 7.6AFPCh. 7.4 - Prob. 7.6BFPCh. 7.4 - Prob. 7.7AFPCh. 7.4 - Prob. 7.7BFPCh. 7.4 - Prob. 7.8AFPCh. 7.4 - Prob. 7.8BFPCh. 7 - Prob. 7.1PCh. 7 - Consider the following types of electromagnetic...Ch. 7 - Prob. 7.3PCh. 7 - In the 17th century, Isaac Newton proposed that...Ch. 7 - Prob. 7.5PCh. 7 - What new idea about light did Einstein use to...Ch. 7 - An AM station broadcasts rock music at “950 on...Ch. 7 - An FM station broadcasts music at 93.5 MHz...Ch. 7 - Prob. 7.9PCh. 7 - An x-ray has a wavelength of 1.3 Å. Calculate the...Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Police often monitor traffic with “K-band” radar...Ch. 7 - Covalent bonds in a molecule absorb radiation in...Ch. 7 - Prob. 7.15PCh. 7 - Prob. 7.16PCh. 7 - How is n1 in the Rydberg equation (Equation 7.4)...Ch. 7 - What key assumption of Bohr’s model would a “Solar...Ch. 7 - Prob. 7.19PCh. 7 - Which of these electron transitions correspond to...Ch. 7 - Why couldn’t the Bohr model predict spectra for...Ch. 7 - Prob. 7.22PCh. 7 - Use the Rydberg equation to find the wavelength...Ch. 7 - Prob. 7.24PCh. 7 - Prob. 7.25PCh. 7 - Prob. 7.26PCh. 7 - Prob. 7.27PCh. 7 - Prob. 7.28PCh. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - In addition to continuous radiation, fluorescent...Ch. 7 - Prob. 7.34PCh. 7 - Prob. 7.35PCh. 7 - Prob. 7.36PCh. 7 - Prob. 7.37PCh. 7 - Prob. 7.38PCh. 7 - A 232-lb fullback runs 40 yd at 19.8 ± 0.1...Ch. 7 - Prob. 7.40PCh. 7 - Prob. 7.41PCh. 7 - Prob. 7.42PCh. 7 - Prob. 7.43PCh. 7 - Prob. 7.44PCh. 7 - What physical meaning is attributed to ψ2? Ch. 7 - What does “electron density in a tiny volume of...Ch. 7 - Prob. 7.47PCh. 7 - Prob. 7.48PCh. 7 - How many orbitals in an atom can have each of the...Ch. 7 - Prob. 7.50PCh. 7 - Give all possible ml values for orbitals that have...Ch. 7 - Prob. 7.52PCh. 7 - Prob. 7.53PCh. 7 - Prob. 7.54PCh. 7 - Prob. 7.55PCh. 7 - Prob. 7.56PCh. 7 - Prob. 7.57PCh. 7 - Prob. 7.58PCh. 7 - Prob. 7.59PCh. 7 - Prob. 7.60PCh. 7 - Prob. 7.61PCh. 7 - The quantum-mechanical treatment of the H atom...Ch. 7 - The photoelectric effect is illustrated in a plot...Ch. 7 - Prob. 7.64PCh. 7 - Prob. 7.65PCh. 7 - Prob. 7.66PCh. 7 - Prob. 7.67PCh. 7 - Prob. 7.68PCh. 7 - Prob. 7.69PCh. 7 - Prob. 7.70PCh. 7 - Prob. 7.71PCh. 7 - Prob. 7.72PCh. 7 - Prob. 7.73PCh. 7 - Prob. 7.74PCh. 7 - Use the relative size of the 3s orbital below to...Ch. 7 - Prob. 7.76PCh. 7 - Prob. 7.77PCh. 7 - Enormous numbers of microwave photons are needed...Ch. 7 - Prob. 7.79PCh. 7 - Prob. 7.80PCh. 7 - Prob. 7.81PCh. 7 - Prob. 7.82PCh. 7 - Prob. 7.83PCh. 7 - Prob. 7.84PCh. 7 - For any microscope, the size of the smallest...Ch. 7 - In fireworks, the heat of the reaction of an...Ch. 7 - Prob. 7.87PCh. 7 - Fish-liver oil is a good source of vitamin A,...Ch. 7 - Many calculators use photocells as their energy...Ch. 7 - Prob. 7.90PCh. 7 - Prob. 7.91PCh. 7 - Prob. 7.92PCh. 7 - The flame tests for sodium and potassium are based...Ch. 7 - Prob. 7.94PCh. 7 - Prob. 7.95PCh. 7 - The discharge of phosphate in detergents to the...
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