11.88. Calculate (V) for ₁5 of the H atom and compare it to1sthe total energy.

Answered: 11.88. Calculate (V) for ₁5 of the H…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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11.88. Calculate (V) for ₁5 of the H atom and compare it to
1s
the total energy.

Expert Solution

Step 1: Introduction to the given problem

The total energy of electron in the H atom consists of its potential energy and kinetic energy. The energy due to the position of electron is termed as potential energy. The average potential energy for $ψ$ _1s of the H atom is calculated by the formula as given below.

$V = - m e^{4} / h^{2}$

The kinetic energy is due to the motion of electron in the atom.

The average value of potential energy for $ψ$ _1s of the H atom is -8.55 x 10^-21 eV . The energy obtained is lesser than the total energy as the kinetic energy is not involved.

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