   # A balloon is inflated at 25°C to a volume of 2.5 L and then immersed in liquid nitrogen at a temperature of 77 K. What will be the final volume of the balloon? (Note: If you actually try this experiment, the final volume of the balloon will probably be smaller because some of the gases within the balloon will condense. However, the experiment does work, and if undisturbed, the balloon will return to its original volume on warming.) ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 11, Problem 45E
Textbook Problem
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## A balloon is inflated at 25°C to a volume of 2.5 L and then immersed in liquid nitrogen at a temperature of 77 K. What will be the final volume of the balloon? (Note: If you actually try this experiment, the final volume of the balloon will probably be smaller because some of the gases within the balloon will condense. However, the experiment does work, and if undisturbed, the balloon will return to its original volume on warming.)

Interpretation Introduction

Interpretation:

The final volume of a balloon immersed in liquid nitrogen at 77K, under constant pressure is to be calculated.

Concept Introduction:

Charles’s law states that the volume of an ideal gas at constant pressure is in direct proportionalitywith the absolute temperature.

VT

V1T1=V2T2

Here, V1 and V2 are the initial and final volumes of the ideal gas. Also, T1 is the initial temperature and T2 is the final temperature of the ideal gas.

Converting degree Celsius to Kelvin by adding 273K, the conversion factor is as,

T=°C+ 273K

### Explanation of Solution

Given information: Initial Temperature is 25°C

Final Temperature is 77K

Initial Volume is 2.5L

According to Charles’s law, at constant pressure

V1T1=V2T2

Now, converting the temperature from degree Celsius to Kelvin by using the conversion factor as:

T1=25°C=25+273K=298K

Substituting V1=2

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