Integrated Science
7th Edition
ISBN: 9780077862602
Author: Tillery, Bill W.
Publisher: Mcgraw-hill,
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Chapter 8, Problem 3CQ
To determine
The main problem associated with a solar system model of the atom.
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e. The radial function for the 3s orbital in the hydrogen atom is given below:
(27 – 180 + 202)e
(o = )
R3s =
ao = 52.92 pm
Calculate the distance(s) of the node(s) of the 3s orbital of the hydrogen atom from the nucleus.
The nucleus of a certain atom has a radius of 4.0 × 10^-15 m. An electron orbits the nucleus at a radius of 1.5 × 10^-10 m. Imagine the electron orbit is on the surface of a sphere and that the shape of the nucleus is spherical. Approximately how many nuclei would fit into the sphere on which the electron orbits?
An aspiring physicist wants to build a scale model of a hydrogen atom for her science fair project. If the atom is 1.00 m in diameter, how big should she try to make the nucleus?
Chapter 8 Solutions
Integrated Science
Ch. 8.1 - Prob. 1SCCh. 8.1 - Prob. 2SCCh. 8.1 - Prob. 3SCCh. 8.1 - Prob. 4SCCh. 8.1 - Prob. 5SCCh. 8.1 - Prob. 6SCCh. 8.2 - Prob. 7SCCh. 8.2 - Prob. 8SCCh. 8.2 - Prob. 9SCCh. 8.3 - Prob. 10SC
Ch. 8.3 - Prob. 11SCCh. 8.3 - Prob. 12SCCh. 8.5 - Prob. 13SCCh. 8.5 - Prob. 14SCCh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Prob. 16CQCh. 8 - Prob. 17CQCh. 8 - Prob. 18CQCh. 8 - Prob. 1PEACh. 8 - Prob. 2PEACh. 8 - Prob. 3PEACh. 8 - Prob. 4PEACh. 8 - Prob. 1PEBCh. 8 - Prob. 2PEBCh. 8 - Prob. 3PEBCh. 8 - If the charge-to-mass ratio of a proton is 9.58 ...
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- Consider the element Hydrogen. In this atom, assume the electron travels with a speed of 6.8 105 m/s. What is the radius between the nucleus and the orbiting electron in m?arrow_forwardThe structure of an atom is analogous to a model of the solar system. Explain why this statement is true.arrow_forwardCalculate the radius of the orbital and the velocity of the electron in the second orbital = n2 for an atom in the Bohr model (hydrogen atom). what energyarrow_forward
- In the planetary model of the atom where electrons orbit a centralized nucleus, what is the approximate ratio of the radius of the nucleus to that of the electron orbits?arrow_forwardThe energy levels of a hypothetical atom are shown here. Which of the following photons can an electron sitting in the -4eV energy level absorb? (select two answers) -0.2 ev -0.4 ev -1.8 ev 4 ev A photon with 2.5 eV of energy A photon with 3.8 eV of energy A photon with 0.4 ev of energy A photon with 1.8 ev of energy A photon with 2.2 ev of energyarrow_forwardAn electron revolves around the nucleus of an atom in a circular orbit of radius 4.0Å with a speed of 6.0 x 10^6 ms-1. Calculate the linear kinetic energy.arrow_forward
- Which of the following inconsistencies led to the rejection of the solar system model proposed by Rutherford? A. Electrons cannot orbit the nucleus because it always will have attraction toward the positively charged nucleus. B. Orbiting electrons will possess centripetal acceleration and the accelerating charged particles radiate energy away. C. All the positive charge cannot be present inside of the nucleus for stability of the atom. D. All of the above. E. None of the above.arrow_forward1. A hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n=3. (a) What is the energy of the absorbed photon? (b) If the atom returns to the ground state, what photon energies could the atom emit?arrow_forwardCalculate the velocity of the electron in the first orbit in a hydrogen atom.arrow_forward
- (a) An aspiring physicist wants to build a scale model of a hydrogen atom for her science fair project. If the atom is 1.00 m in diameter, how big should she try to make the nucleus? (b) How easy will this be to do?arrow_forwardConsider a hydrogen-like ion where an electron is orbiting a nucleus that has charge q=+Ze. Derive the formulas for the energy En of the electron in nth orbit and the orbital radius rn.arrow_forwardWhat is the magnitude of the spin momentum of an electron? (Express you answer in terms of h.)arrow_forward
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