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Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James ISBN: 9780198769866 2042

Solution for problem P8C.4 Chapter 8C

Atkins' Physical Chemistry | 11th Edition

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Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James

Atkins' Physical Chemistry | 11th Edition

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Problem P8C.4

The \(\mathrm{Li}^{2+}\) ion is hydrogenic and has a Lyman series at 740 747 \(\mathrm{cm}^{-1}\), 877 924 \(\mathrm{cm}^{-1}\), 925 933 \(\mathrm{cm}^{-1}\), and beyond. Show that the energy levels are of the form \(-h c \tilde{R}_{\mathrm{L}} / n^{2}\) and find the value of \(\tilde{R}_{\mathrm{Li}}\) for this ion. Go on to predict the wavenumbers of the two longest-wavelength transitions of the Balmer series of the ion and find its ionization energy.

Text Transcription:

Li^2+

cm^-1

-hcR_Ln^2

R_Li

Step-by-Step Solution:
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Molecular​ p ​ olarity​: - In​ ​a​ ​molecule,​ ​ he​​ olarity​ ​depends​ ​on: - Magnitude​ ( ​ size)​​ nd​ ​direction​ ​of​ ​the​ ​bond​ olarities - Molecular​ ​geometry - Depending​ ​on​ ​orientation​ ​bonds,​ ​the​ ​dipoles​ ​of​ ​the​ ​polar​ ​bond​ ​will​ ​either​ ​cancel​ ​or​ ​not cancel​ ​(add) - Dipoles​ c ​ ancel​ ​→​ ​nonpolar​ ​molecule - Add​ ​together,​ ​resulting​ ​in​ ​a​ ​“net​ ​dipole”​ ​→​ ​polar​ ​molecule Steps​ t ​ o​ ​determine​ p ​ olarity​ o​ f​ ​a​ ​molecule​: - Draw​ t ​ he​ l​ ewis​ ​structure​ ​of​ ​a​ ​molecule - Determine​ ​the​ ​molecular​ g ​ eometry - Determine​ ​whether​ ​the​ ​molecule​ ​contains​ ​polar​ ​bonds.​ ​Draw​ ​these​ ​bond​ ​dipoles - Determine​ ​whether​ ​the​ ​bond​ ​dipoles​ ​cancel​ ​(​ ​→​ ​molecule​ ​is​ ​nonpolar)​ ​or​ ​do​ ​not​ ​cancel​ ​( →​ m​ olecule​ ​is​ ​polar) Is​ ​each​ ​molecule​ ​polar​ o​ r​​ onpolar - N​2​ ​→​ ​nonpolar,​ ​your​ ​ nly​ ​bond​ ​is​ onpolar - NH​ 3​​ ​ ​polar,​ ​bond​​ ipoles​ ​don’t​ ​cancel - H​2​O​ ​→​ ​polar Why​ ​does​ ​polarity​ ​matter - “Like​ ​dissolves​ l​ ike” - Polar​ ​things​ ​dissolve​ i​ n​​ ther​ ​polar​ ​things - Non-polar​ t ​ hings​ ​ issolve​ i​ n​ ​other​ ​non-polar​​ hings - Polar​ ​+​ ​non-polar​ ​do​ ​not​​ ix

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Chapter 8C, Problem P8C.4 is Solved
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Textbook: Atkins' Physical Chemistry
Edition: 11
Author: Atkins, Peter; De Paula, Julio; Keeler, James
ISBN: 9780198769866

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