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LESSON 18 / 20 · TOPIC 2.7

Why can polar bonds make a nonpolar molecule?

You will be able to: Combine bond-dipole directions with molecular geometry to predict net polarity.

Bonding, geometry and chemical reasoningFree study resourceReview editionTeacher review pending

Why can polar bonds make a nonpolar molecule?

Two equal pulls in opposite directions can cancel. CO₂ contains polar C=O bonds, but their dipoles point in opposite directions along one line. Water’s bent geometry prevents its two bond dipoles from canceling.

A useful starting point: What shapes come from five or six electron domains? →

Words and symbols before equations

Vector
A quantity with both size and direction.
Net dipole
Vector sum of charge-separation contributions across the molecule.
Nonpolar molecule
A molecule with no permanent net dipole in the ideal symmetric structure.
Symmetry
A spatial relationship that can make equivalent bond-dipole contributions cancel.
Abstract dipole-vector additionIncluded angle: 120°; each input magnitude = 1Orange resultant magnitude = 1
Read this model snapshot. At 120°, net magnitude = 1 normalized units. Sideways components cancel; bisector components add.
What this picture assumes

Two equal abstract unit dipoles, not adjustable real molecular bond angles or measured dipole data. Directions indicate vector addition. Resultant is in normalized units, not debye.

Read the picture in three steps

  1. Read the species and labels first. A Lewis line represents two electrons; a spatial stick indicates connectivity. Use the stated quantities and units for numerical comparisons.
  2. At 120°, net magnitude = 1 normalized units. Sideways components cancel; bisector components add.
  3. Check what the picture assumes below. Use the Explore task to predict one change before moving a control.

Connect the picture to the chemistry

First decide whether the bonds are polar; then use a correct molecular shape. Adding the sizes alone is not enough because opposite directions can cancel.

Linear CO₂ has equivalent opposing C=O contributions, so its net dipole is zero. Bent H₂O has two O-directed contributions whose sideways components cancel but other components add.

Symmetric molecules with equivalent outer atoms, such as CH₄ or BF₃, can have zero net dipole. Replacing an outer atom or adding lone pairs may remove cancellation. In a neutral molecule the choice of coordinate origin does not change its dipole.

A worked example, step by step

Two equal unit dipole vectors have an angle of 120° between them. Find the resultant magnitude using the bisector.

  1. Choose the axis halfway between the two vectors.
  2. Each has a bisector component cos(60°) = 0.5 in normalized units.
  3. The transverse components cancel by symmetry.
  4. The total is 2(0.5) = 1 normalized unit; for 180° separation the same calculation gives zero.
Common mix-up

Polar bonds do not automatically imply a polar molecule. Check their directions and equivalence.

CHECK THE IDEA

Does turning a nonpolar CO₂ model with the mouse make it polar?

Compare with an explanation

No. Rotation changes the view, not its internal symmetry or vector cancellation.

Now investigate one change Explore →

Predict. Change one thing. Explain.

Use the abstract two-vector model: keep both magnitudes at one and vary the included angle. Predict cancellation at 180°. This changes a mathematical comparison, not a real molecule’s freely adjustable bond angle.

On narrow screens, swipe or scroll diagrams sideways to read all labels.

Abstract dipole-vector additionIncluded angle: 120°; each input magnitude = 1Orange resultant magnitude = 1

At 120°, net magnitude = 1 normalized units. Sideways components cancel; bisector components add.

Two equal abstract unit dipoles, not adjustable real molecular bond angles or measured dipole data. Directions indicate vector addition. Resultant is in normalized units, not debye.

Explain what you noticed: Answer the investigation prompt above. State one observation and explain it using electron accounting, electrostatic interactions or spatial geometry. Identify what the representation cannot tell you.

Apply the idea to a fresh problem Practice →

Show what you understand.

Two original questions are a starting check, not proof of mastery. Explain your choice before revealing the answer.

1. Why is isolated linear CO₂ nonpolar?

Show answer and reasoning

Its equivalent opposing bond dipoles cancel. The bonds are polar; their symmetric opposite directions make their vector sum zero.

2. Two equal unit dipoles separated by 180° sum to…

Show answer and reasoning

0. Equal opposite vectors cancel, rather than having their magnitudes simply added.

Original written challenge

4 points · self-check · not an official AP question

Compare CO₂ and H₂O. State bond polarities, shapes, whether dipoles cancel, and why viewing a molecule from a different direction cannot change its polarity.

This response is not submitted or saved. Copy it before leaving.

Compare with the answer and four-point rubric
  1. 1 point: O is the more electronegative end of both C–O and H–O bonds.
  2. 1 point: CO₂ is linear and H₂O bent.
  3. 1 point: CO₂ contributions cancel; water’s do not.
  4. 1 point: Rigid rotation preserves internal vector relationships and the magnitude of the net dipole.

Accept equivalent correct methods and explanations. This is a Refresh Kid teaching rubric, not an official AP scoring guideline.

Recall the ideas without notes Review →

Retrieve it before you reveal it.

RECALL 1What two facts are needed to predict polarity?

Bond dipoles and molecular geometry.

RECALL 2What does symmetry cancel?

Equivalent vector contributions in balancing directions.

RECALL 3Is the adjustable angle a real water simulation?

No. It is an abstract vector comparison; actual equilibrium angles are not arbitrary.

Revisit these tomorrow and a week later. Try a fresh problem and explain why the method applies.

Why can polar bonds make a nonpolar molecule?

  • Net dipole is a vector sum.
  • For two equal contributions μ separated by θ: net magnitude = 2μ cos(θ/2), for 0° ≤ θ ≤ 180°.

Remember: Polar bonds do not automatically imply a polar molecule. Check their directions and equivalence.

Conditions: Two equal abstract unit dipoles, not adjustable real molecular bond angles or measured dipole data. Directions indicate vector addition. Resultant is in normalized units, not debye.

Refresh Kid · AP Chemistry Unit 2 · Objectives 2.7.A · Review edition

Framework, scope and review status

Mapped to College Board CED, Topic 2.7, objectives 2.7.A. CED effective Fall 2024, current official file checked September 16, 2026, together with the published clarifications. This is Unit 2: Compound Structure and Properties, Topics 2.1–2.7. The focused lesson breakdown is Refresh Kid’s editorial sequence. Models and original practice are teaching materials, not official AP questions. Numerical potential curves, ion comparisons and orbital-alignment indices state their approximations. Five- and six-domain shapes are included; d-orbital hybridization and molecular-orbital diagrams are not required here. GitHub’s 3D website examples, including the Three.js Mars camera-control example, informed the use of rotatable scenes. Our scientific geometry and viewer code are original; no repository artwork or tutorial code was copied. The self-hosted Three.js library retains its MIT license. Camera rotation does not alter chemistry. See also the official clarifications.

Implementation and automated checks are separate from independent teacher review and observation of students. Both human review stages remain pending. This is a review edition, not a certified or validated assessment.

Optional further resource: College Board’s released questions and scoring guides. Papers can combine units; this link is an archive, not an assignment of every question to this lesson.

Our learn, explore, practice and recall sequence is informed by the IES learning guide. The exact Refresh Kid implementation has not been evaluated for learning effectiveness.

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