/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q34E Calculate the mean free path of ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q34E (page 612)

Calculate the mean free path of air molecules at 3.50 x 10-13 atm and 300 K. (This pressure is readily attainable in the laboratory; see Exercise 18.23.) As in Example 18.8, model the air molecules as spheres of radius 2.0 x 10-10 m.

Short Answer

Expert verified

The mean free path of the air molecule is1.648脳105m

Step by step solution

01

Data and Formulas

Given data;

The pressure of the air molecule in the laboratory isP=3.5脳10-3atm

The temperature of the gas is T = 300K

The radius of the spheres of the air molecule is r=2脳10-10m

ConstantK=1.38脳10-23J/K

Formula;

Mean free path

位=KT4蟺2r2P ........... (1)

02

Find mean free path

From equation (1), put the all values and get the mean free path of the air molecule

位=1.38脳10-23J/K脳300K4蟺脳2脳2脳10-10m2脳3.5脳10-13atm脳1.01脳105Pa/atm=1.648脳105m

Hence, the mean free path of the air molecule is 1.648脳105m

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

The coolant in an automobile radiator is kept at a pressure higher than atmospheric pressureT. Why is this desirable? The radiator cap will release coolant when the gauge pressure of the coolant reaches a certain value, typically or so. Why not just seal the system completely?

If the pressure of an ideal monatomic gas is increased while the number of moles is kept constant, what happens to the average translational kinetic energy of one atom of the gas? Is it possible to change boththe volume and the pressure of an ideal gas and keep the average translational kinetic energy of the atoms constant? Explain.

Are the earth and sun in thermal equilibrium? Are there entropy changes associated with the transmission of energy from the sun to the earth? Does radiation differ from other modes of heat transfer with respect to entropy changes? Explain your reasoning.

Imagine a special air filter placed in a window of a house. The tiny holes in the filter allow only air molecules moving faster than a certain speed to exit the house, and allow only air molecules moving slower than that speed to enter the house from outside. Explain why such an air filter would cool the house, and why the second law of thermodynamics makes building such a filter an impossible task.

A constant-volume gas thermometer registers an absolute pressure corresponding to 325 mm of mercury when in contact with water at the triple point. What pressure does it read when in contact with water at the normal boiling point?
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Fields in Physics

Read Explanation

Fluids

Read Explanation

Famous Physicists

Read Explanation

Work Energy and Power

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.