   Chapter 15, Problem 29CR ### 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

# a. lithe temperature of a 255-mL sample of gas is increased from 35 °C to 55 °C at constant pressure, what will be the new volume of the gas sample? If a 325-mL sample of gas at 25 °C is immersed in liquid nitrogen at −196 °C, what will be the new volume of the gas sample?

Interpretation Introduction

(a)

Interpretation:

The new volume of the given sample on increasing the temperature from 35°C to 55°C is to be calculated.

Concept Introduction:

The Charles’ law states that the volume of a given ideal gas system is directly proportional to the absolute temperature of the system at constant pressure. The Charles’ law is represented as:

VT

Where,

• V represents the volume of the system.
• T represents the temperature of the system.

The relation between the initial and final volume of an ideal gas system on changing the temperature of the system at constant pressure is given as:

V1T1=V2T2

Where,

• V1 represents the initial volume of the system.
• T1 represents the initial temperature of the system.
• V2 represents the final volume of the system.
• T2 represents the final temperature of the system.
Explanation

The volume of the gas sample is 255mL.

The initial temperature of the gas sample is 35°C.

The initial temperature of the gas sample in Kelvin is given as:

TK=35°C+273.15K=308.15K

The final temperature of the gas sample is 55°C.

The final temperature of the gas sample in Kelvin is given as:

TK=55°C+273.15K=328.15K

The relation between the initial and final volume of an ideal gas system on changing the temperature of the system at constant pressure is given as,

V1T1=V2T2

Where,

• V1 represents the initial volume of the system.
• T1 represents the initial temperature of the system
Interpretation Introduction

(b)

Interpretation:

The new volume of the given sample on decreasing the temperature from 25°C to 196°C is to be calculated.

Concept Introduction:

The Charles’ law states that the volume of a given ideal gas system is directly proportional to the absolute temperature of the system at constant pressure. The Charles law is represented as,

VT

Where,

• V represents the volume of the system.
• T represents the temperature of the system.

The relation between the initial and final volume of an ideal gas system on changing the temperature of the system at constant pressure is given as:

V1T1=V2T2

Where,

• V1 represents the initial volume of the system.
• T1 represents the initial temperature of the system.
• V2 represents the final volume of the system.
• T2 represents the final temperature of the system.

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