Interpretation Introduction To determine: The uncertainty in the velocity of an electron that has an uncertainty in its position of 552 pm . Explanation Given: Uncertainty in the position of electron is 552 pm . Explanation: The Heisenberg’s uncertainty relation is given by Δ x ⋅ m Δ V ≥ h 4 π Here, Δ x is the uncertainty in position, m is the mass of the subatomic particle, Δ V is the uncertainty in the velocity, and h is Planck’s constant. The value of Planck’s constant is 6.626 × 10 − 34 kg m 2 /s and mass of an electron is 9.1 × 10 − 31 kg . Substitute the values in the above equation: 552 p m × 9.1 × 10 − 31 kg ⋅ Δ V ≥ 6.626 × 10 − 34 kg m 2 /s 4 π Δ V ≥ 6.626 × 10 − 34 kg m 2 /s 4 × 3

Chemistry: A Molecular Approach; Chemistry: A Molecular Approach Selected Solutions Manual, Books a la Carte Edition (4th Edition)

4th Edition

ISBN: 9780134568188

Author: Nivaldo J. Tro

Publisher: PEARSON

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Chapter 7, Problem 55E

Interpretation Introduction

To determine: The uncertainty in the velocity of an electron that has an uncertainty in its position of 552 pm.

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Chapter 7, Problem 54E

Chapter 7, Problem 56E

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Chemistry: A Molecular Approach; Chemistry: A Molecular Approach Selected Solutions Manual, Books a la Carte Edition (4th Edition)

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