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The wave nature of matter was first proposed by Louis de

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 109P Chapter 9

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 109P

PROBLEM 109P

The wave nature of matter was first proposed by Louis de Broglie, who suggested that the wavelength (λ) of a particle was related to its mass (m) and its velocity (v) by the equation: λ = h/mv, where h is Planck's constant (6.626 × 10−34J·s). Calculate the de Broglie wavelength of: (a) a 0.0459 kg golf ball traveling at 95 m/s; (b) an elec­tron traveling at 3.88 × 106m/s. Can you explain why the wave nature of matter is significant for the electron but not for the golf ball? (Hint: Express mass in kilograms.)

Step-by-Step Solution:

Solution 109P

Here we have to calculate the de Broglie wavelength for golf ball and electron.

Explain why the wave nature of matter is significant for the electron but not for the golf ball?

Explanation:

Step 1:

(a) Mass of ball = 0.0459 kg   velocity = 95 m/s

de Broglie wavelength λ = h/mv

Now, substituting the values, the above equation will be,

λ = 6.626 × 10−34J·s/0.0459 kg 95 m/s

   = 1.52 × 10−34 m

Thus the wavelength of golf ball is  1.52 × 10−34 m

Step 2:

(b) Mass of electron =9.1× 10−31kg    velocity = 3.88 × 106m/s

de Broglie wavelength λ = h/mv

Now, substituting the values, the above equation will be,

λ = 6.626 × 10−34J·s/9.1× 10−31kg  3.88 × 106m/s

  =1.89 × 10−10 m 1.9 × 10−10 m

Thus the wavelength of electron is 1.9 × 10−10 m.

Step 3 of 3

Chapter 9, Problem 109P is Solved
Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

Since the solution to 109P from 9 chapter was answered, more than 452 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5. This full solution covers the following key subjects: ball, broglie, wavelength, wave, traveling. This expansive textbook survival guide covers 19 chapters, and 2045 solutions. The full step-by-step solution to problem: 109P from chapter: 9 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. The answer to “The wave nature of matter was first proposed by Louis de Broglie, who suggested that the wavelength (?) of a particle was related to its mass (m) and its velocity (v) by the equation: ? = h/mv, where h is Planck's constant (6.626 × 10?34J·s). Calculate the de Broglie wavelength of: (a) a 0.0459 kg golf ball traveling at 95 m/s; (b) an elec­tron traveling at 3.88 × 106m/s. Can you explain why the wave nature of matter is significant for the electron but not for the golf ball? (Hint: Express mass in kilograms.)” is broken down into a number of easy to follow steps, and 94 words. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295.

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