Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 20: Problem 28

The water molecule's dipole moment is \(6.2 \times 10^{-18} \mathrm{C} \cdot \mathrm{m}\). What would be the separation distance if the molecule consisted of charges \(\pm e\) ? (The effective charge is actually less because \(\mathrm{H}\) and O atoms share the electrons.)

Short Answer

Expert verified
The separation distance \(d\) is approximately 0.387 \(\mathrm{nm}\)

Step by step solution

01

Understand the given parameters

The dipole moment of the water molecule is given as \(6.2 \times 10^{-18} \, \mathrm{C} \cdot \mathrm{m}\) and the charges represented in the molecule is the charge of an electron, denoted as \(\pm e\), where \(e = 1.60217662 \times 10^{-19}\, \mathrm{C}\). These parameters will be used in the formula of dipole moment.
02

Use the formula of dipole moment

The dipole moment formula is \(p = q \cdot d\), where \(p\) is the dipole moment, \(q\) is the charge and \(d\) is the separation distance.
03

Solve for the separation distance

Substitute the values of \(p\) and \(q\) in the formula and solve for \(d\): \(d = \frac{p}{q} = \frac{6.2 \times 10^{-18} \, \mathrm{C} \cdot \mathrm{m}}{1.60217662 \times 10^{-19}\, \mathrm{C}}\)
04

Calculation

Calculate the above expression to obtain the separation distance.

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

A free neutron is unstable and soon decays to other particles, one of them a proton. Must there be others? If so, what electric properties must they have?

Why should the test charge used to measure an electric field be small?

A 5.0 - \(\mu\) m strand of DNA carries charge \(+e\) per nm of length. Treating it as a charged line, what's the electric field strength \(25 \mathrm{nm}\) from the DNA, not near either end?

A proton moving to the right at \(3.8 \times 10^{5} \mathrm{m} / \mathrm{s}\) enters a region where a \(56-\mathrm{kN} / \mathrm{C}\) electric field points to the left. (a) How far will the proton get before it momentarily stops? (b) Describe its subsequent motion.

The electron in a hydrogen atom is \(52.9 \mathrm{pm}\) from the proton. What's the proton's electric field strength at this distance?
See all solutions

Recommended explanations on Physics Textbooks

Radiation

Read Explanation

Electrostatics

Read Explanation

Wave Optics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Engineering Physics

Read Explanation

Torque and Rotational Motion

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