Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q21P (page 508)

In Chapter 4 you determined the stiffness of the interatomic “spring” (chemical bond) between atoms in a block of lead to be 5 N/m, based on the value of Young’s modulus for lead. Since in our model each atom is connected to two springs, each half the length of the interatomic bond, the effective “interatomic spring stiffness” for an oscillator is

4 × 5 N/m = 20 N/m. The mass of one mole of lead is 207 g (0.207 kg). What is the energy, in joules, of one quantum of energy for an atomic oscillator in a block of lead?

Short Answer

Expert verified

The energy of one quantum of energy for an atomic oscillator in a block of lead is

8.04×10-22J.

Step by step solution

01

Given data

k = 20 N/m

M = 0.207 kg

02

Solution

Mass of the one atom is,

m=MNA

The energy of one quantum of energy for an atomic oscillator in a block of

lead is,

E=ℏω   =h2rkm=h2rkM/NA =6.626×10-342(3.14)200.207/6.022×1023=8.04×10-22J

Hence,

E=8.04×10-22J

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

How many different ways are there to arrange 4 quanta among 3 atoms in a solid?

What is the advantage of plotting the (natural) logarithm of the number of ways of arranging the energy among the many atoms (natural logarithm of the number of microstates)?

Object A and object B are two identical microscopic objects. Figure 12.55 below shows the number of ways to arrange energy in one of these objects, as a function of the amount of energy in the object.


(Figure 12.55)

(a)When there are\({\bf{1}}{\bf{.0 \times 1}}{{\bf{0}}^{{\bf{ - 20}}}}{\bf{J}}\)of energy in object A, what is the entropy of this object? (b) When there are\({\bf{1}}{\bf{.4 \times 1}}{{\bf{0}}^{{\bf{ - 20}}}}{\bf{J}}\)of energy in object B, what is the entropy of this object? (c) Now the two objects are placed in contact with each other. At this moment, before there is time for any energy flow between the objects, what is the entropy of the combined system of objects A and B?

List explicitly all the ways to arrange 2 quanta among 4 one-dimensional oscillators.

There was transfer of energy of 5000 J into a system due to a temperature difference, and the entropy increased by 10 J/K. What was the approximate temperature of the system, assuming that the temperature didn’t change very much?
See all solutions

Recommended explanations on Physics Textbooks

Engineering Physics

Read Explanation

Turning Points in Physics

Read Explanation

Translational Dynamics

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Geometrical and Physical Optics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free