   Chapter 13.5, Problem 13.7SC ### 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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# trong>Exercise 13.7 A sample of methane gas that has a volume of 3 . 8 L at 5 ° C is heated 86 ° C at constant pressure Calculate its new volume.

Interpretation Introduction

Interpretation:

The volume of methane gas should be determined when the gas with a volume of 3.8 L at 5° C is heated to 86° C at constant pressure.

Concept introduction:

The new volume of methane gas in this case can be determined using Charles law. Charles law states that the volume of a given amount of gas has direct relation with the temperature in Kelvin at constant pressure. This law is also known as Temperature-Volume Law

VαTVT=constant

The increase in volume, results in increase in temperature, and vice-versa.

In case of initial and final volumes and temperatures under constant pressure, the formula is given by:

V1T1=V2T2.

Explanation

Here given,

V1 = 3.8 L

T1 = 5° C = (273+5) K = 278 K

and,

T2 = 86° C = (273+86) K = 359 K

V2 = ? (need to be determined)

Using the Charles equation

V1T1=V2T2

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