Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Problem 5

What relationship does Boyle's law express?

Short Answer

Expert verified
Boyle's law expresses the inverse relationship between the pressure and volume of a gas at constant temperature. When volume increases, pressure decreases and vice versa, as per the formula \(P1V1 = P2V2\).

Step by step solution

01

Understanding Boyle's Law

Boyle's Law, named after physicist Robert Boyle, is a principle that describes how the pressure of a gas tends to increase as the volume of the container decreases, while temperature is held constant. This is expressed usually through the formula \( P_1V_1 = P_2V_2 \). Here, \(P_1\) and \(P_2\) represent the initial and final pressures, and \(V_1\) and \(V_2\) represent the initial and final volumes.
02

Boyle's law formula

Boyle's law can be formally expressed as: \( P_1V_1 = P_2V_2 \). This indicates that the product of the initial pressure and the initial volume is equal to the product of the final pressure and the final volume, assuming the temperature is constant.
03

Example of Boyle's Law

For example, if you have a gas at a pressure of 1 atm (\( P1 = 1 atm \)), and a volume of 2 liters (\( V1 = 2 L \)), and you compressed the gas to a volume of 1 liter (\( V2 = 1 L \)), Boyle's Law allows you to calculate the new pressure (\( P2 \)). Here, you plug the numbers in the formula which gives you \( (1 atm) * (2 L) = P2 * (1 L) \). Solving this equation for \( P2 \) gives you \( P2 = 2 atm \), indicating the gas pressure has increased due to a decrease in volume.

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

How does wind illustrate that gases are fluids?

Use the following terms to create a concept map: amount in moles, ideal gas law, pres- sure, temperature, and volume.

Write a paragraph that describes how the kinetic-molecular theory explains the following properties of a gas: fluidity, compressibility, and pressure.

Write the equation that expresses Dalton's law of partial pressures.

As you put more air in a car tire, the pressure increases. Explain.
See all solutions

Recommended explanations on Chemistry Textbooks

Chemical Analysis

Read Explanation

Nuclear Chemistry

Read Explanation

Inorganic Chemistry

Read Explanation

Making Measurements

Read Explanation

Kinetics

Read Explanation

Physical Chemistry

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