What is the most likely radius for an electron in a 2s orbital of a hydrogen atom?

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section5.5: Quantum Numbers, Energy Levels, And Atomic Orbitals
Problem 5.13CE
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QUESTION 5
What is the most likely radius for an electron in a 2s orbital of a hydrogen
atom?
You will need to evaluate a cubic function. You can use a website like
WolframAlpha to solve it. It's very smart and can pretty much figure out
what you're trying to do no matter how you type it. And it will confirm
what you asked by displaying it in mathematical notation. For a cubic
function, try this: solve x^3 + 2x^2 + x/5 -2 = 0 for x. If you have any
constants floating around that you want to leave as a symbol (like a or h),
it can handle it.
Leave your answer in terms of the Bohr radius, a. (e.g. If your answer is
2a, in the box below, just type 2. Give three significant figures in your
coefficient.)
Answer: [A]a
Transcribed Image Text:QUESTION 5 What is the most likely radius for an electron in a 2s orbital of a hydrogen atom? You will need to evaluate a cubic function. You can use a website like WolframAlpha to solve it. It's very smart and can pretty much figure out what you're trying to do no matter how you type it. And it will confirm what you asked by displaying it in mathematical notation. For a cubic function, try this: solve x^3 + 2x^2 + x/5 -2 = 0 for x. If you have any constants floating around that you want to leave as a symbol (like a or h), it can handle it. Leave your answer in terms of the Bohr radius, a. (e.g. If your answer is 2a, in the box below, just type 2. Give three significant figures in your coefficient.) Answer: [A]a
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