   Chapter 13, Problem 23QAP ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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# 3. A sample of helium gas with a volume of :math> 29 . 2 mL at 735 mm Hg is compressed at constant temperature until its volume is 15 . 1 mL . What will be the new pressure in the sample?

Interpretation Introduction

Interpretation:

The new pressure when the volume of gas changes at constant temperature should be calculated.

Concept Introduction:

Boyle’s law of ideal gas states that at constant temperature, the pressure of ideal gas is inversely proportional to the volume of gas.

It expresses as: P1 V1 = P2 V2 ( at constant temperature).

Explanation

Given information:

P1 = 785 mm Hg

V1 = 29.2 mL

V2 = 15.1 mL

The mathematical expression for Boyle’s law is;

P1 V1 = P2 V2 ( at constant temperature)

Plug the values in given mathematical expression;

785 mmHg × 29.2 mL = P2× 15

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