Chapter 12: Problem 38

A diver at a depth of \(1.0 \times 10^{2} \mathrm{m},\) where the pressure is 11.0 atm, releases a bubble with a volume of 100.0 \(\mathrm{mL}\) . What is the volume of the bubble when it reaches the surface? Assume a pressure of 1.00 atm at the surface.

Short Answer

Expert verified

The final volume \(V2\) of the bubble when it reaches the surface is 1100.0 mL.

Step by step solution

Write Boyle's Law Formula

Boyle's Law is represented by the equation \(P1 \times V1 = P2 \times V2\), where \(P1\) and \(V1\) represent the initial pressure and volume, and \(P2\) and \(V2\) represent the final pressure and volume.

Insert Given Numbers

In this case, \(P1\) is 11.0 atm, \(V1\) is 100.0 mL, and \(P2\) is 1.00 atm. Substitute these values into the Boyle's Law equation. This gives the equation \(11.0 \, \text{atm} \times 100.0 \, \text{mL} = 1.00 \, \text{atm} \times V2\).

Solve for \(V2\)

To solve for \(V2\), divide both sides of the equation by \(P2\) which is 1.00 atm. This gives the equation \(V2 = (11.0 \, \text{atm} \times 100.0 \, \text{mL}) / 1.00 \, \text{atm}\).

Compute \(V2\)

Just calculate the right side of the equation to find the value of \(V2\). The atm units will cancel each other out, leaving only the value in mL.

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!

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A diver at a depth of \(1.0 \times 10^{2} \mathrm{m},\) where the pressure is 11.0 atm, releases a bubble with a volume of 100.0 \(\mathrm{mL}\) . What is the volume of the bubble when it reaches the surface? Assume a pressure of 1.00 atm at the surface.

Short Answer

Step by step solution

Write Boyle's Law Formula

Insert Given Numbers

Solve for \(V2\)

Compute \(V2\)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Physical Chemistry

Chemical Reactions

Inorganic Chemistry

Chemistry Branches

Chemical Analysis

Making Measurements

Study anywhere. Anytime. Across all devices.