Suppose the average distance between the nucleus and the electron in a newly discovered 3s state is given by the ollowing equation: = ° v%,47r³ dr, where the wavefunction /3, (r) = r · 3 Зар 22 zn0 is independent of 0 and ø. Jse the integral x"e-kz dx = , to determine . Express your final answer in units of the Bohr radius ao and atomic number Z. In other words, if you get a final answer that is 2.3 times , enter 2.3 as your final answer.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Suppose the average distance between the nucleus and the electron in a newly discovered 3s state is given by the
ollowing equation:
<r>= ° v%47r³ dr, where the wavefunction /3, (r) = r ·
3
Зар
27
Ino is independent of 0 and ø.
Jse the integral x"e-kz dx = , to determine <r>. Express your final answer in units of the Bohr radius ao
and atomic number Z. In other words, if you get a final answer that is 2.3 times , enter 2.3 as your final answer.
Transcribed Image Text:Suppose the average distance between the nucleus and the electron in a newly discovered 3s state is given by the ollowing equation: <r>= ° v%47r³ dr, where the wavefunction /3, (r) = r · 3 Зар 27 Ino is independent of 0 and ø. Jse the integral x"e-kz dx = , to determine <r>. Express your final answer in units of the Bohr radius ao and atomic number Z. In other words, if you get a final answer that is 2.3 times , enter 2.3 as your final answer.
Expert Solution
Step 1

Given:

ψ3s(r)=r.3π522z3ao52.e-zr2ao

To find:

<r>

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