12 5. Decribe Bohr's theory of hydrogen atom. How is it successful in explaining the spectrum of hydrogenatom?

Answer - According to Bohr Atomic model, a small positively charged nucleus is surrounded by…

Answered: 5. Decribe Bohr's theory of hydrogen…

Chemistry for Engineering Students

4th Edition

ISBN:9781337398909

Author:Lawrence S. Brown, Tom Holme

Publisher:Lawrence S. Brown, Tom Holme

Chapter6: The Periodic Table And Atomic Structure

Section: Chapter Questions

Problem 6.32PAE: 6.32 What are the mathematical origins of quantum numbers?

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6.32 What are the mathematical origins of quantum numbers?
Explain the main features of Bohrs theory. Do these features solve the difficulty alluded to in Question 7.8?
Defend and criticize Bohrs model. Why was it reasonable that such a model was proposed, and what evidence was there that it "works"? Why do we no longer "believe" in it?
Why was Bohr's theory for the hydrogen atom initially accepted, and why was it ultimately discarded?
Investigating Energy Levels Consider the hypothetical atom X that has one electron like the H atom but has different energy levels. The energies of an electron in an X atom are described by the equation E=RHn3 where RH is the same as for hydrogen (2.179 1018 J). Answer the following questions, without calculating energy values. a How would the ground-state energy levels of X and H compare? b Would the energy of an electron in the n = 2 level of H be higher or lower than that of an electron in the n = 2 level of X? Explain your answer. c How do the spacings of the energy levels of X and H compare? d Which would involve the emission of a higher frequency of light, the transition of an electron in an H atom from the n = 5 to the n = 3 level or a similar transition in an X atom? e Which atom, X or H, would require more energy to completely remove its electron? f A photon corresponding to a particular frequency of blue light produces a transition from the n = 2 to the n = 5 level of a hydrogen atom. Could this photon produce the same transition (n = 12 to n = 5) in an atom of X? Explain.
What major assumption (that was analogous to what had already been demonstrated for electromagnetic radiation) did de Broglie and Schrodinger make about the motion of tiny panicles?
Why was Schrodinger not able to describe exactly the pathway an electron takes as it moves through the space of an atom?
Imagine a world in which the rule for the l quantum number is that values start with 1 and go up to n. The rules for the n and mi quantum numbers are unchanged from those of our world. Write the quantum numbers for the first two shells (i.e., n = 1 and n = 2).
How many electrons in an atom can have the following quantum designation? (a) 1s (b) 4d, m l =0(c) n=5,l=2
State the postulates of quantum mechanics introduced throughout the chapter in your own words.
6.23 Describe how the Bohr model of the atom accounts for the spectrum of the hydrogen atom.
As the weapons officer aboard the Srarship Chemistry, it is your duty to configure a photon torpedo to remove an electron from the outer hull of an enemy vessel. You know that the work function (the binding energy of the electron) of the hull of the enemy ship is 7.52 1019 J. a. What wavelength does your photon torpedo need to be to eject an electron? b. You find an extra photon torpedo with a wavelength of 259 nm and fire it at the enemy vessel. Does this photon torpedo do any damage to the ship (does it eject an electron)? c. If the hull of the enemy vessel is made of the element with an electron configura tion of [Ar]4s13d10, what metal is this?

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5. Decribe Bohr's theory of hydrogen atom. How is it successful in explaining the spectrum of hydrogen atom?