Question: Expressions for the Maxwell speed distribution for molecules in a gas are given in Chapter 19. (a) Show that the most probable energy is given

Expressions for the Maxwell speed for molecules in a gas are given in Chapter 19.
(a) Show that the most probable energy is given by

Verify this result with the energy distribution curve of Fig. 43-10, for which T = 1.5 ( 107 K.
(b) Show that the most probable speed is given by

Find its value for protons at T = 1.5 ( 107 K.
(c) Show that the energy corresponding to the most probable speed (which is not the same as the most probable energy) is
Kv,p = kT.
Locate this quantity on the curve of Fig. 43-10.

, - . kT.

Step by Step Solution

★★★★★

3.42 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Rather than use Pv as it is written in Eq 1927 we use the more convenient nK expression g... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

885-P-E-G-L (553).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A comparison of ave , mp , and rms for the Maxwell speed distribution reveals that these three quantities are not equal. Is the same true for the one-dimensional velocity distributions?

Consider a collection of gas particles confined to translate in two dimensions (for example, a gas molecule on a surface). Derive the Maxwell speed distribution for such a gas.

Referring to Figure 5.17, we see that the maximum of each speed distribution plot is called the most probable speed (ump) because it is the speed possessed by the largest number of molecules. It is...

The problem is below: In lecture we will derive the Maxwell distribution of speeds from the canonical ensemble, 3/2 m p (v ) = Arve-mul / kBT 2TKBT (3) where p(v) du is defined as the probability of...

Gases Problems 209 mol- The (a) Determine A so that f(v) = N(v)/N is a true probability density function. i.e.. fo f(v)do = 1. Sket 1. Sketch f(v) versus v. be of (b) Find v and Ums in terms of vo-...

Explain how the principles of quantum mechanics are able address the issues. The development of quantum mechanical theory stems from several issues that could not be addressed by the principles of...

I need your help with this: Can you please quote from the attached chapters / resource if possible? Corporations often use different costs of capital for different operating divisions. Using an...

In the Intro to Purchasing and Supply Chain reading, Page 6, Figure 1-2, there is a comparison of Traditional Purchasing versus the Current Outlook. Provide three reasons why the Current Outlook is...

Entrepreneurship and innovation The keys to global economic recovery invention Executive summary At a time when entire economies and industries are reeling from the nancial crisis, business leaders...

CHAPTER 12 Privacy \"If everybody minded their own business,\" the Dutchman said in a hoarse growl, \"the world would go round a deal faster than it does.\" Lewis Carroll, Alice's Adventures in...

There are several important disclosure items to consider when auditing the purchasing process. Discuss what they are and why they are important.

Maria open a store which will sell school and office supplies. ON June 11 Maria Merchandising started its operations. Below are her business transactions: DATE Transactions June 11 Purchased from A...

Question 3 7 ( 1 point ) Why was enlisting immediate stakeholder support crucial in the Jalswarajya Project? For gaining political advantage For legal compliance To facilitate smooth project...

A conflict resolution approach that is NOT considered to be very effective when more than a few players are involved and their viewpoints are mutually exclusive is a. Forcing b. Avoiding c....

If a transmission line in a cold climate collects ice, the increased diameter tends to cause vortex formation in a passing wind. The air pressure variations in the vortexes tend to cause the line to...

One of the harmonic frequencies for a particular string under tension is 325Hz. The next higher harmonic frequency is 390 Hz. What harmonic frequency is next higher after the harmonic frequency 195...

A rope, under a tension of 200 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by y = (0.10 m) (sin x/2) sin 12t, where x = 0 at...

Al Fateh Inc., has a seasonal pattern to its business. It borrows under a line of credit from Central Bank at 1% over prime. Its total asset requirements now (at year end) and estimated requirements...

We are evaluating a project that costs $ 8 8 3 , 0 0 0 , has a life of eight years, and has no salvage value. Assume that depreciation is straight - line to zero over the life of the project. Sales...

You have been assigned to implement a three-month hedge for a stock mutual fund portfolio that primarily invests in medium-sized companies. The mutual fund has a beta of 1.58 measured relative to the...