# A hot air balloon has a volume of 55,287 m 3 at 60°C . What is its volume at 20°C ?

### Chemistry In Focus

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

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 11, Problem 46E
Textbook Problem
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## A hot air balloon has a volume of 55,287 m 3 at 60°C . What is its volume at 20°C ?

Interpretation Introduction

Interpretation:

The volume of the air balloon at given temperature is to be calculated.

Concept Introduction:

According to the Charles’ law, the volume of an ideal gas at a constant pressure is in direct proportionality with the absolute temperature.

VT

V1T1=V2T2

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

### Explanation of Solution

The volume of the air balloon is calculated as follows:

According to Charles’ law at a constant pressure,

V1T1=V2T2

The conversion of temperature from degree Celsius to Kelvin is as follows:

Convert degree Celsius to Kelvin by adding 273 as a conversion factor.

K=273+°C

Substitute the values:

T1=60+273T1=333 K

T2=20+273T2=293 K

According to Charles’ law:

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