Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 19: Q21P (page 578)

Question: The lowest possible temperature in outer space is 2.7 K. What is the rms speed of hydrogen molecules at this temperature? (The molar mass is2.02×10-3kg/mol).

Short Answer

Expert verified

Answer:

The RMS speed of the hydrogen molecules is 1.8×102m/s.

Step by step solution

01

Given data

The temperature is T = 2.7 K

The molar mass of hydrogen molecules is,M=2.02×10-3kg/mol

02

Concept introduction

We can find the rms speed using its formula in terms of R, temperature, and molar mass.

The expression for the RMS speed is given by,

v=3RTM

03

Calculate the rms speed of hydrogen molecules at the given temperature 

The RMS speed of hydrogen molecules is

v=3RTM

Molar mass of hydrogen isM=2.02×10-3kg/mol

v=38.3142.72.02×10-3v=182.58≈1.8×102m/s

Therefore the RMS speed of the hydrogen molecules is1.8×102m/s .

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

An ideal gas is taken through a complete cycle in three steps: adiabatic expansion with work equal to125 J, isothermal contraction at325K, and increase in pressure at constant volume.

(a) Draw a p-V diagram for the three steps

. (b) How much energy is transferred as heat in step3, and

(c) is it transferred to or from the gas?

Question: The molar mass of iodine is 127 g /mol. When sound at frequencyis introduced to a tube of iodine gas at 400 K, an internal acoustic standing wave is set up with nodes separated by 9.57 cm.What is γ for the gas? (Hint: See Problem 91)

In a motorcycle engine, a piston is forced down toward the crankshaft when the fuel in the top of the piston’s cylinder undergoes combustion. The mixture of gaseous combustion products then expands adiabatically as the piston descends. Find the average power in (a) watts and (b) horsepower that is involved in this expansion when the engine is running at 4000rpm, assuming that the gauge pressure immediately after combustion is 15atm, the initial volume is 50cm3, and the volume of the mixture at the bottom of the stroke is 250cm3. Assume that the gases are diatomic and that the time involved in the expansion is one-half that of the total cycle.

Compute

  1. The number of moles
  2. The number of molecules in1.00 cm3of an ideal gas at a pressure of100 Paand a temperature of220 K.

One mole of an ideal diatomic gas goes from a to c along the diagonal path in figure. The scale of the vertical axis is set bypab=5.0 kPaand pc=2.0 kPa, and the scale of the horizontal axis is set by Vbc=4.0m3andVa=2.0 m3. During the transition,

a) What is the change in internal energy of the gas

b) How much energy is added to the gas as heat?

c) How much heat is required if the gas goes from ato calong the indirect path abc?
See all solutions

Recommended explanations on Physics Textbooks

Translational Dynamics

Read Explanation

Space Physics

Read Explanation

Oscillations

Read Explanation

Dynamics

Read Explanation

Physics of Motion

Read Explanation

Scientific Method Physics

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